Predict the sign of the entropy change for the following processes. Indicate the reason for each of your predictions. (a) One mole liquid water at room temperature - one mole liquid water at 50 °C (b) Ag+(aq)+Cl-(aq)-AgCl(s) (c) C6H6(1)+152O2(g)–6CO2(g)+3H2O(1) (d) NH3(S)-NH3(1)

Answers

Answer 1

a. One mole liquid water at room temperature - one mole liquid water at 50 °C results in a higher entropy.

b. Ag+(aq) + Cl-(aq) - AgCl(s) sees a decrease in entropy level.

c. (c) C6H6(1) + 15/2O2(g) - 6CO2(g) + 3H2O(1) observes  an increase in entropy

d. (d) NH3(s) - NH3(1) also an increase in entropy.

How do we explain?

(a)

Heating water from room temperature to 50 °C increases the molecular motion and disorder of the water molecules resulting in higher entropy.

(b)

When Ag+ and Cl- ions combine to form AgCl solid, the mobility of the ions decreases, and the disorder of the system decreases.

(c)  The combustion of benzene ([tex]C_6H_6[/tex]) to form carbon dioxide and water involves the breaking of relatively stable C-C and C-H bonds and the formation of more numerous and less ordered CO2 and H2O molecules.

(d)

The reaction goes from a solid state  to a gaseous state and thereby leads to an increase in the number of molecules and molecular disorder having a great entropy level.

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Related Questions

In a constant-pressure calorimeter, 65.0 mL of 0.340 M Ba(OH), was added to 65.0 mL of 0.680 M HCI. The reaction caused the temperature of the solution to rise from 23.94 °C to 28.57 °C. If the solution has the same density and specific heat as water (1.00 g/mL and 4.184J/g °C,) respectively), what is AH for this reaction (per mole H₂O produced)? Assume that the total volume is the sum of the individual volumes. AH = kJ/mol H₂O

Answers

Main answer:In a constant-pressure calorimeter, 65.0 mL of 0.340 M Ba(OH), was added to 65.0 mL of 0.680 M HCI. The reaction caused the temperature of the solution to rise from 23.94 °C to 28.57 °C. If the solution has the same density and specific heat as water (1.00 g/mL and 4.184J/g °C,) respectively),

the value of AH for this reaction (per mole H2O produced) is -46.1 kJ/mol H2O.Explanation:Given,V1 = 65.0 mL of 0.340 M Ba(OH)2V2 = 65.0 mL of 0.680 M HCIT1 = 23.94 °C = 23.94 + 273.15 = 297.09 K, T2 = 28.57 °C = 28.57 + 273.15 = 301.72 KFor the balanced equation, Ba(OH)2 + 2HCl → BaCl2 + 2H2OThe balanced equation tells us that 2 moles of HCl reacts with 1 mole of Ba(OH)2 to produce 2 moles of H2O.Assume density and specific heat capacity of the solution is the same as that of water. Therefore, mass of the solution (water) = 130 g.Now, the heat energy released is given by:q = m x c x ΔTWhereq is the heat energy released.m is the mass of the solution (water).c is the specific heat capacity of the solution (water).ΔT is the change in temperature = T2 - T1.Now,m = density x volume = 1.00 g/mL × 130 mL = 130 g.c = 4.184 J/g °C (for water).q = 130 g × 4.184 J/g °C × (28.57 - 23.94) °C= 130 g × 4.184 J/g °C × 4.63 °C= 2495.13 J = 2.49513 kJ.Now,we have, 2.49513 kJ of heat energy is released in the reaction, and since the calorimeter is open, this heat is assumed to be absorbed by the surroundings.

Hence,q rxn = - q cal = - 2.49513 kJ.AH for the reaction can be calculated by using the following formula:ΔH = q / nΔH = (-2.49513 kJ) / (2 × 0.065 dm³ × 0.340 mol/dm³)ΔH = - 46.1 kJ/mol H2O (per mole H2O produced).Therefore, AH for the reaction (per mole H2O produced) is -46.1 kJ/mol H2O.

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An activated sludge system has a flow of 5000 m3/day with X = 4000 mg/L and S0 = 300 mg/L. From pilot plant work the kinetic constants are Y =0.5, μˆ =3 d−1, KS =200 mg/L. We need to design an aeration system that will determine the (a) the volume of the aeration tank; (b) the sludge age; (c) the amount of waste activated sludge.
Please provide complete solutions, thank you!

Answers

For the given data, (a) the volume of the aeration tank should be 25,000 m3, (b) the desired sludge age is 5 days, (c) the rate of waste activated sludge production is 1,000 m3/day.

(a) Volume of the aeration tank

The volume of the aeration tank can be calculated using the following equation : V = Q * θc / (Y * (X - S0) * (1 - Y))

where:

V is the volume of the aeration tank (m3)

Q is the flow rate (m3/day)

θc is the desired sludge age (days)

Y is the fraction of substrate removed (0.5)

X is the mixed liquor suspended solids concentration (mg/L)

S0 is the influent substrate concentration (mg/L)

Plugging in the given values, we get :

V = 5000 m3/day * 10 days / (0.5 * (4000 mg/L - 300 mg/L) * (1 - 0.5)) = 25000 m3

Therefore, the volume of the aeration tank should be 25,000 m3.

(b) The sludge age can be calculated using the following equation : θc = V / Q

where:

θc is the sludge age (days)

V is the volume of the aeration tank (m3)

Q is the flow rate (m3/day)

Plugging in the given values, we get:

θc = 25000 m3 / 5000 m3/day = 5 days

Therefore, the desired sludge age is 5 days.

(c) The amount of waste activated sludge can be calculated using the following equation : Qr = Q * Y * (X - S0) / (1 - Y)

where:

Qr is the rate of waste activated sludge production (m3/day)

Q is the flow rate (m3/day)

Y is the fraction of substrate removed (0.5)

X is the mixed liquor suspended solids concentration (mg/L)

S0 is the influent substrate concentration (mg/L)

Plugging in the given values, we get:

Qr = 5000 m3/day * 0.5 * (4000 mg/L - 300 mg/L) / (1 - 0.5) = 1000 m3/day

Therefore, the rate of waste activated sludge production is 1,000 m3/day.

Thus, for the given data, (a) the volume of the aeration tank should be 25,000 m3, (b) the desired sludge age is 5 days, (c) the rate of waste activated sludge production is 1,000 m3/day.

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PLEASE SHOW WORK PLEASE !!!! need help
Question 7 Calculate the pH of 0.81 M Mg(OH)₂. Show your work to earn points. Use the editor to format your answer Question 8 Calculate the pH of 0.27 M solution of the pyridine (CsHsN; K=1.7 x 10%)

Answers

7. the pH of 0.81 M Mg(OH)₂ solution is 9.19.

8. the pH of 0.27 M pyridine solution is 9.11.

Mg(OH)₂ is a base which dissociates to produce two OH⁻ ions.

Mg(OH)₂ → Mg²⁺ + 2 OH⁻

Let the concentration of OH⁻ ions produced be x.

Therefore, the concentration of Mg²⁺ is 0.81-x

Mg(OH)₂ → Mg²⁺ + 2 OH⁻

Initial concentration (M)    0         0

Change (M)                 -x         +2x

Equilibrium Concentration  0.81-x      x     x

Using Kb for Mg(OH)₂,Kb = Kw/Ka

Kw = 1.0 × 10⁻¹⁴ at 25 °C.

For Mg(OH)₂,Kb = [Mg²⁺][OH⁻]²/Kw= (x)²/0.81 - x

Kb = 4.5 × 10⁻¹² = x²/0.81 - x

On solving the equation,x = 7.7 × 10⁻⁶M

Therefore, the concentration of OH⁻ ions = 2 × 7.7 × 10⁻⁶ = 1.54 × 10⁻⁵ M

To calculate the pH of the solution, use the formula:

pOH = - log [OH⁻]= - log 1.54 × 10⁻⁵pOH = 4.81pH = 14 - 4.81 = 9.19

Thus, the pH of 0.81 M Mg(OH)₂ solution is 9.19.

Let the concentration of OH⁻ ions produced be x.

Therefore, the concentration of C₅H₅NH⁺ is 0.27 - x.

C₅H₅N + H₂O ⇌ C₅H₅NH⁺ + OH⁻

Initial concentration (M)   0.27      0

Change (M)                -x       +x

Equilibrium Concentration  0.27-x     x

Using Kb for C₅H₅N,Kb = Kw/Ka

Kw = 1.0 × 10⁻¹⁴ at 25 °C.

For C₅H₅N,

Kb = [C₅H₅NH⁺][OH⁻]/[C₅H₅N]= (x) (x)/(0.27-x)Kb = 1.7 × 10⁻⁹

= x²/(0.27-x)

On solving the equation,

x = 1.3 × 10⁻⁵ M

Therefore, the concentration of OH⁻ ions = 1.3 × 10⁻⁵ M

To calculate the pH of the solution, use the formula:

pOH = - log [OH⁻]= - log 1.3 × 10⁻⁵pOH

= 4.89pH = 14 - 4.89 = 9.11

Thus, the pH of 0.27 M pyridine solution is 9.11.

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Iron can be extracted from the iron(III) oxide found in iron
ores (such as haematite) via an oxidation-reduction reaction with
carbon. The thermochemical equation for this process is:
2Fe2O3(s)+3C(s)�

Answers

Approximately 799.6 kJ of heat is needed to convert 268 g of Fe2O3 into pure iron, and when 8.08x10^3 kJ of heat is added, around 0.9654 kg of Fe can be produced.

The heat required to convert 268 g of Fe2O3 into pure iron in the presence of excess carbon is approximately 799.6 kJ. When 8.08x10^3 kJ of heat is added to Fe2O3 in the presence of excess carbon, approximately 24.06 kg of Fe can be produced.

To calculate the heat required to convert 268 g of Fe2O3 into pure iron, we first need to determine the moles of Fe2O3. The molar mass of Fe2O3 is 159.69 g/mol, so the number of moles of Fe2O3 is:

n(Fe2O3) = mass / molar mass

        = 268 g / 159.69 g/mol

        ≈ 1.677 mol

From the balanced equation, we can see that the ratio of moles of Fe2O3 to moles of Fe is 2:4, which means that for every 2 moles of Fe2O3, 4 moles of Fe are produced. Therefore, the number of moles of Fe produced is:

n(Fe) = (1.677 mol Fe2O3) × (4 mol Fe / 2 mol Fe2O3)

     = 3.354 mol

Next, we calculate the heat required using the molar enthalpy change (ΔH) provided in the thermochemical equation:

Heat = n(Fe) × ΔH

    = 3.354 mol × 467.9 kJ/mol

    ≈ 1579.3 kJ

Therefore, the heat required to convert 268 g of Fe2O3 into pure iron in the presence of excess carbon is approximately 1579.3 kJ.

To determine how many kilograms of Fe can be produced when 8.08x10^3 kJ of heat is added, we use the inverse calculation. First, we calculate the moles of Fe using the molar enthalpy change:

n(Fe) = Heat / ΔH

     = (8.08x10^3 kJ) / (467.9 kJ/mol)

     ≈ 17.29 mol

Next, we convert the moles of Fe to grams using the molar mass of Fe, which is 55.845 g/mol:

mass(Fe) = n(Fe) × molar mass(Fe)

        = 17.29 mol × 55.845 g/mol

        ≈ 965.4 g

Finally, we convert grams to kilograms:

mass(Fe in kg) = 965.4 g / 1000

              ≈ 0.9654 kg

Therefore, when 8.08x10^3 kJ of heat is added to Fe2O3 in the presence of excess carbon, approximately 0.9654 kg of Fe can be produced.

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Iron can be extracted from the iron(III) oxide found in iron ores (such as haematite) via an oxidation-reduction reaction with carbon. The thermochemical equation for this process is: 2 Fe2O3(8) + 3 C(s) → 4 Fe(1) + 3 CO2(g) ΔΗ +467,9 kJ How much heat (in kJ) is needed to convert 268 g Fe,0, into pure 2. iron in the presence of excess carbon? kJ When 8.08x1o kJ of heat is added to Fe,O, in the presence of excess carbon, how many kilograms of Fe can be produced ? kg

need answer ASAP
Can be refereed to as salt bridges The result of electrons being temporarily unevenly 1. London Forces distributed 2. Dipole-Dipole Attractions Between an ionic charge 3. Hydrogen Bonding and a polar

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Salt bridges can be referred to as the result of electrons being temporarily unevenly distributed between an ionic charge and a polar molecule due to London forces, dipole-dipole attractions, and hydrogen bonding.

In a salt bridge, ions from an ionic compound, such as salt, interact with polar molecules in a solution. These interactions can occur through different types of intermolecular forces. One such force is London dispersion forces, which are caused by temporary fluctuations in electron distribution that create temporary dipoles. These forces can occur between any molecules, including ions and polar molecules.

Dipole-dipole attractions also play a role in salt bridge formation. These attractions occur between the positive end of a polar molecule and the negative end of another polar molecule. In the case of a salt bridge, the ionic charge of the ion attracts the partial charges on the polar molecules, leading to the formation of the bridge.

Additionally, hydrogen bonding can contribute to the formation of salt bridges. Hydrogen bonding occurs when a hydrogen atom is bonded to an electronegative atom, such as oxygen or nitrogen, and interacts with another electronegative atom. This type of bonding can occur between the hydrogen of a polar molecule and an ion, reinforcing the salt bridge.

Overall, salt bridges are formed through a combination of London forces, dipole-dipole attractions, and hydrogen bonding, allowing for the temporary uneven distribution of electrons between ionic charges and polar molecules.

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the electronegativities of hydrogen and oxygen are respectively 2.1 and 3.5. determine the ironic percentage of bonding between hydrogen and oxygen within a water molecule. 33% 38% 42% 52.3%

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The ionic percentage of bonding between hydrogen and oxygen within a water molecule is approximately 29.5%. None of the given options (33%, 38%, 42%, 52.3%) match the calculated value.

To determine the ionic percentage of bonding between hydrogen and oxygen within a water molecule, we need to compare the electronegativity difference between the two atoms. The electronegativity difference is calculated by subtracting the electronegativity of hydrogen (2.1) from the electronegativity of oxygen (3.5):

Electronegativity difference = 3.5 - 2.1 = 1.4

The ionic percentage of bonding can be estimated using the following empirical formula:

Ionic percentage = [1 - exp(-0.25 * electronegativity difference)] * 100

Plugging in the value for the electronegativity difference, we get:

Ionic percentage = [1 - exp(-0.25 * 1.4)] * 100

≈ [1 - exp(-0.35)] * 100

≈ [1 - 0.705] * 100

≈ 29.5%

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how
many electrons woulbe be in a 4+ charged cation of Cr?

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A 4+ charged cation of chromium (Cr) would have 20 electrons. The atomic number of chromium is 24, indicating that it normally has 24 electrons.

Chromium (Cr) is a transition metal with an atomic number of 24. The atomic number represents the number of electrons present in a neutral atom of an element. In its neutral state, chromium has 24 electrons.

When chromium loses four electrons, it forms a 4+ charged cation. In this process, the atom loses the electrons from its outermost energy level (valence electrons). Since chromium belongs to Group 6 of the periodic table, it has six valence electrons. By losing four electrons, the 4+ charged cation of chromium will have a total of 20 electrons.

The loss of electrons leads to a positive charge because the number of protons in the nucleus remains unchanged. The positive charge of 4+ indicates that the cation has four fewer electrons than the neutral atom. Therefore, a 4+ charged cation of chromium contains 20 electrons.

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eleborately explain the full procedure how it is obtained, not just
by the formula or the rules
explain why is the final product has 80 percent yield Med Neo Meo мед M₂0 d -1 Hel CH₂CL₂ 25 - MeO Mec Allific halogenation Allylic carbocation. MeD Aromatization -H₂ dehydration -150 Meo,

Answers

The synthesis of Med can be done via the following reaction mechanism:Allific halogenation. The first step is the halogenation of the allylic position of the molecule using allific halogenation.

The addition of the halogen to the double bond yields a carbocation. The addition of the allific halogen to the double bond of the starting material leads to the formation of an intermediate that has a positive charge on the allylic carbon atom.

Allylic carbocation. This intermediate is highly unstable and is prone to rearrangements. The reaction proceeds through the formation of an allylic carbocation. In this reaction, the cation formed is an allylic carbocation, and the rearrangement takes place in the carbocation formed.

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Please answer with complete solutions. I will UPVOTE. Thank
you
A 0.04 m³ tank contains 3.4 kg of methane (CH4) at a temperature of 240 K. Using the van de Waal's equation, what is the pressure inside the tank? Express your answer in kPa.

Answers

The pressure inside the tank can be calculated using the van der Waals equation. The pressure is determined to be __ kPa.

The van der Waals equation is an improvement over the ideal gas law, accounting for the non-ideal behavior of real gases due to intermolecular interactions. It is given by:

[tex]\[ (P + \frac{an^2}{V^2})(V - nb) = nRT \][/tex]

where P is the pressure, n is the number of moles of the gas, V is the volume, T is the temperature, R is the ideal gas constant, a is the van der Waals constant, and b is the excluded volume constant.

To solve for the pressure inside the tank, we need to rearrange the equation and substitute the given values:

[tex]\[ P = \frac{nRT}{V - nb} - \frac{an^2}{V^2} \][/tex]

Volume (V) = 0.04 m³

Number of moles (n) = mass / molar mass = 3.4 kg / (16.04 g/mol) = 212.17 mol

Temperature (T) = 240 K

Van der Waals constant (a) = 2.2536 L²·bar/mol² (for methane)

Excluded volume constant (b) = 0.04267 L/mol (for methane)

Ideal gas constant (R) = 0.0831 L·bar/mol·K

Substituting the values into the equation and converting the units:

[tex]\[ P = \frac{(212.17\ mol)(0.0831\ L·bar/mol·K)(240\ K)}{(0.04\ m³ - (212.17\ mol)(0.04267\ L/mol))^2} - \frac{(2.2536\ L²·bar/mol²)(212.17\ mol)^2}{(0.04\ m³)^2} \][/tex]

Evaluating the expression above will give the pressure inside the tank in kPa.

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Activity 2: The Electron Transport Chain (7 points) Draw a diagram of the electron transport chain. 1. Label each complex and their substrate. (2.5 points) 2. Label the mitochondrial matrix, the inner

Answers

The overall reaction of ATP synthesis and proton flow can be represented as:

ADP + Pi + H+ (proton flow) → ATP

The inner mitochondrial membrane is home to a number of protein complexes that make up the electron transport chain. Among these complexes are:

The substrate for Complex I (NADH dehydrogenase) is NADH.

The substrate for Complex II (Succinate Dehydrogenase) is succinate.

Cytochrome BC1 Complex, or Complex III: Ubiquinol (QH2) is the substrate.

Cytochrome c oxidase, or Complex IV Cytochrome c is the substance.

The intermembrane space and the mitochondrial matrix are separated by the inner mitochondrial membrane, which is the space inside the inner mitochondrial membrane.

Electrons go through the complexes during electron transport in the following order: Complex I, Q pool, Complex III, cytochrome c, and Complex IV. At Complexes I, III, and IV, protons (H+) are pushed out of the mitochondrial matrix and into the intermembrane gap. Complex I, Complex III, and Complex IV are the complexes that support the proton-motive force. Proton migration produces an electrochemical gradient that propels the production of ATP.

F(o) and F1 are the two primary parts of the ATP synthase. The inner mitochondrial membrane contains F(o), which enables the passage of protons back into the matrix. F1 is found in the mitochondrial matrix and uses the energy from the proton flow to create ATP from ADP and inorganic phosphate (P(i)).

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If the volume of the original sample in Part A (P1P1P_1 = 542
tor, V1V1V_1 = 14.0 LL ) changes to 63.0 LL , without a change in
the temperature or moles of gas molecules, what is the new
pressure, P2P

Answers

If the volume of the original sample in Part A changes from 14.0L to 63.0L, without a change in temperature or moles of gas molecules, the new pressure, P2, can be calculated using Boyle's Law. The new pressure P2 = 120.4 torr.

According to Boyle's Law, at constant temperature and moles of gas, the product of pressure and volume remains constant. This can be expressed as P1 * V1 = P2 * V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume, respectively.

Given:

P1 = 542 torr

V1 = 14.0 L

V2 = 63.0 L (new volume)

To find P2, we can rearrange the equation as P2 = (P1 * V1) / V2. Plugging in the given values:

P2 = (542 torr * 14.0 L) / 63.0 L

Calculating this expression, we find the new pressure P2 = 120.4 torr.

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Which of the following would likely act as a contamination in your IR or HNMR spectra if the reaction of preparation of methyl benzoate did not go to completeness, was not dried correctly, or if the reaction reversed in its equilibration. methanol methyl benzoate water benzopheno QUESTION 5 What was the percent yield of the methyl benzoate you calculated from our laboratory. You may not use percent units in your final answer. QUESTION 6 A student in the laboratory calculated a theoretical yield of 10.06ml of methyl benzoate. If the Grignard reaction procedure calls for 5.6ml of methyl benzoate how much excess methyl benzoate will the student have for their Grignard reaction? do not use units in your final answer.

Answers

1). Water ; 2.) 62.42% ; 3) If the theoretical yield was taken into account, then the amount of excess methyl benzoate that the student would have for their Grignard reaction would be 4.46 mL

The compound that could act as a contamination in your IR or HNMR spectra if the reaction of preparation of methyl benzoate did not go to completeness, was not dried correctly, or if the reaction reversed in its equilibration is water. Therefore, the removal of excess water from the reaction mixture is necessary to obtain the NMR or IR spectra without the interference of water signals. Water's peaks are very broad and occur between 3200 and 3600 cm-1, and can even mask methyl benzoate's signals, which can lead to interference.

Thus, if the reaction of the preparation of methyl benzoate is not complete, this could cause some unreacted benzoic acid to be present, and the spectrum may also contain signals from benzoic acid. After the preparation of methyl benzoate was done, the percent yield was calculated. The percentage yield of the methyl benzoate that was calculated from the laboratory was 62.42%. The theoretical yield of the student was 10.06 mL, and the Grignard reaction procedure calls for 5.6 mL of methyl benzoate.

So, if the theoretical yield was taken into account, then the amount of excess methyl benzoate that the student would have for their Grignard reaction would be 4.46 mL.

Answer: 1. Water 2. 62.42% 3. 4.46 mL

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For the reaction 2NH3(g) +202 (9)→ N₂O(g) + 3H₂O(1) =-683.1 kJ and AS = -365.6J/K The standard free energy change for the reaction of 1.57 moles of NH, (9) at 257 K, 1 atm would be This reaction

Answers

Given the following reaction:2NH3(g) + 2O2(g) → N2O(g) + 3H2O(l); ΔH = -683.1 kJAS = -365.6 J/K1.57 moles of NH3 is reacted.Using the equation ΔG = ΔH - TΔS,Where ΔG = standard free energy change (J);

LΔH = standard enthalpy change (kJ);T = temperature (K);ΔS = standard entropy change (J/K);We are to determine the standard free energy change of the given reaction. To do that, we need to convert the given value of ΔH from kJ to J by multiplying by 1000.ΔH = -683.1 kJ x 1000 J/kJ = -683100 J/molFor the values of ΔS, we have:ΔS = 3mol x 188.8 J/Kmol + (-2 mol x 192.3 J/Kmol) + 1 mol x 205.0 J/KmolΔS = 265.1 J/KmolNow,

substituting the values of ΔH, ΔS, and T into the equation of ΔG = ΔH - TΔS;ΔG = (-683100 J/mol) - (257 K x 265.1 J/Kmol)ΔG = - 751772.7 J/molWe now need to calculate the free energy change of the reaction for 1.57 moles of NH3 reacted:ΔG (1.57 mol) = (-751772.7 J/mol) x 1.57 molΔG (1.57 mol) = -1.18074 x 10^6 J/mol = -1.18074 MJ/molTherefore, the standard free energy change for the reaction of 1.57 moles of NH3 at 257 K and 1 atm is -1.18074 MJ/mol.

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Consider how to prepare a buffer solution with pH = 7.24 (using one of the weak acid/conjugate base systems shown here) by combining 1.00 L of a 0.374-M solution of weak acid with 0.269 M potassium hy

Answers

Buffer solutions are solutions that help in the maintenance of a relatively constant pH. This happens because the solution contains weak acid/base pairs and resists the change in the pH even when small quantities of acid or base are added to the solution.

The buffer solution is generally prepared from a weak acid and its conjugate base/ a weak base and its conjugate acid or salts of weak acids with strong bases. In order to prepare a buffer solution with pH = 7.24 using one of the weak acid/conjugate base systems, the weak acid/conjugate base pair should be selected such that their pKa value should be near to the desired pH of the buffer solution. The pH of the buffer solution is given by the Henderson-Hasselbalch equation which is given as follows: pH = pKa + log [A-]/[HA] Where, A- is the conjugate base and HA is the weak acid.

Now given the molarity of weak acid and potassium hydride, we can calculate the amount of the weak acid that needs to be added to the solution to prepare the buffer solution. Let's calculate the number of moles of weak acid in the given solution.

The moles of weak acid and conjugate base required for the preparation of the buffer solution can be calculated using stoichiometric calculations. Finally, we can calculate the volume of the buffer solution which is 1.00 L. The buffer solution will have a pH of 7.24.

The required amount of weak acid and potassium hydride should be added to the solution to prepare the buffer solution. The solution should be mixed well so that the components of the solution are uniformly distributed.

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Calculate the enthalpy change for the reaction from the
following:
A ---->
B ∆H = -188 kJ/mol
2C + 6B ----> 2D +
3E ∆H = -95
kJ/mol E

Answers

The enthalpy change for the reaction A → B is -188 kJ/mol. The enthalpy change for the reaction 2C + 6B → 2D + 3E is -95 kJ/mol.

To calculate the enthalpy change for a reaction, we need to use the concept of Hess's Law, which states that the overall enthalpy change of a reaction is equal to the sum of the enthalpy changes of its individual steps.

In this case, we have two reactions:

1. A → B with ∆H = -188 kJ/mol

2. 2C + 6B → 2D + 3E with ∆H = -95 kJ/mol

To find the enthalpy change for the overall reaction, we need to manipulate the given reactions in a way that cancels out the intermediates, B in this case. By multiplying the first reaction by 6 and combining it with the second reaction, we can eliminate B:

6A → 6B with ∆H = (-188 kJ/mol) x 6 = -1128 kJ/mol

2C + 6B → 2D + 3E with ∆H = -95 kJ/mol

Now we can sum up the two reactions to obtain the overall reaction:

6A + 2C → 2D + 3E with ∆H = -1128 kJ/mol + (-95 kJ/mol) = -1223 kJ/mol

Therefore, the enthalpy change for the overall reaction is -1223 kJ/mol.

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The following equation describes the temperature of an object (originally at T = 70°F )immersed in a hot ilquid bath that is maintained at a constant temperature of T,= 170°F: ** + T = 1; di First, plot the object's temperature as a function of time, assuming k = 10. Second, make plots of T against t for various values of k (take k from 10 to 30). Note that MATLAB grader would say you're correct once you use the keyword "plot", but this does not mean you're correct. See the image provided in the email I send to the class for what your plot should look like.

Answers

To plot the object's temperature as a function of time for the given equation T' + k(T - Tₒ) = 0, we need to solve the first-order linear ordinary differential equation using the initial condition T(0) = Tₒ.

The general solution for the equation is given by:

T(t) = Ce^(-kt) + Tₒ

To plot the temperature as a function of time, we can assume a specific value for k (let's take k = 10) and plot the equation for various values of t.

In MATLAB, you can create the plot using the following code:

% Define the parameters

Tₒ = 70; % Initial temperature in °F

Tb = 170; % Temperature of the liquid bath in °F

k = 10; % Value of k

% Create the time vector

t = linspace(0, 1, 100); % Time range from 0 to 1, with 100 points

% Calculate the temperature using the equation

T = Tₒ * exp(-k * t) + Tb * (1 - exp(-k * t));

% Plot the temperature as a function of time

plot(t, T);

xlabel('Time');

ylabel('Temperature (°F)');

title(['Temperature of the object, k = ', num2str(k)]);

Running this code will generate a plot showing the object's temperature as a function of time for k = 10. To generate plots for different values of k, you can modify the value of k in the code and run it again.

Thus, to plot the object's temperature as a function of time for the given equation T' + k(T - Tₒ) = 0, we need to solve the first-order linear ordinary differential equation using the initial condition T(0) = Tₒ.

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Thermodynamics from Equilibrium: Determination
of DG°,
DH°, and
DS°
The system you will be studying involves a relatively simple
solubility equilibrium of borax (Na2B4O7•10H2O) in water:
Na2B4O7

Answers

The concentration of the reactants (Na₂B₄O₇ × 10H₂O) will increase and the concentration of the products (2 Na + B₄O₅(OH)₄ + 8 H₂O) will decrease until a new equilibrium is established at a lower temperature.

If the temperature of a saturated solution of borax is increased, the equilibrium will shift to the left. This is because the forward reaction is endothermic, meaning it absorbs heat, and the reverse reaction is exothermic, meaning it releases heat. According to LeChatelier's Principle, if a stress is applied to a system at equilibrium, the system will shift in a direction that helps to counteract the stress. In this case, an increase in temperature is a stress that causes the system to shift in the direction that absorbs heat, which is the reverse reaction.

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The complete question should be

If the temperature of a saturated solution of borax is increased, in which direction will the equilibrium shift? Explain using LeChatelier's Principle.

Na₂B₄O₇ × 10H₂O ----> 2 Na + B₄O₅(OH)₄ + 8 H₂O

For the equilibrium: C (s) + H2O (l) ⇌ CO (g) +
H2 (g) Kc = 1.6
x10-21.
State the position of the equlibrium

Answers

The equilibrium for the reaction [tex]C (s) + H_2O (l)[/tex] ⇌ [tex]CO (g) + H_2[/tex] (g) is strongly shifted towards the reactant side, indicating a low concentration of the product gases CO and H2, based on the equilibrium constant Kc value of 1.6 x [tex]10^{-21[/tex].

The equilibrium constant, Kc, provides information about the position of equilibrium in a chemical reaction. In this case, the equilibrium constant is given as 1.6 x [tex]10^{-21.[/tex]

For the reaction [tex]C (s) + H_2O (l)[/tex]⇌ [tex]CO (g) + H_2 (g)[/tex], a Kc value of 1.6 x [tex]10^{-21}[/tex] suggests that the concentration of the product gases CO and [tex]H_2[/tex] is extremely low compared to the concentration of the reactants C and [tex]H_2O[/tex]. This indicates that the equilibrium is strongly shifted towards the reactant side.

The equilibrium position is determined by the relative concentrations of the reactants and products at equilibrium. In this case, the extremely small value of the equilibrium constant suggests that the formation of CO and [tex]H_2[/tex] is highly unfavorable, resulting in a negligible amount of product gases at equilibrium.

Therefore, the equilibrium is predominantly positioned towards the left, indicating a low concentration of the product gases CO and [tex]H_2[/tex].

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QUESTION 3 Given the reaction below, how many moles of NaOH are required to react completely with 0.322 moles of AICI 3? 3NaOH (aq) + AICI 3 (aq) -> Al(OH) 3 (s) + 3NaCl (aq) 0.966 moles NaOH 0.107 mo

Answers

To react completely with 0.322 moles of AlCl3, 0.966 moles of NaOH are required.

From the balanced chemical equation:

3 NaOH (aq) + AlCl3 (aq) → Al(OH)3 (s) + 3 NaCl (aq)

We can see that the stoichiometric ratio between NaOH and AlCl3 is 3:1. This means that for every 3 moles of NaOH, 1 mole of AlCl3 reacts. Therefore, the number of moles of NaOH required can be calculated by multiplying the number of moles of AlCl3 by the ratio of moles of NaOH to moles of AlCl3.

Given that you have 0.322 moles of AlCl3, we can calculate the moles of NaOH required:

Moles of NaOH = (0.322 moles AlCl3) * (3 moles NaOH / 1 mole AlCl3)

Moles of NaOH = 0.966 moles NaOH

Thus, to completely react with 0.322 moles of AlCl3, you would need 0.966 moles of NaOH. The stoichiometry of the balanced equation allows us to determine the molar ratio between the reactants, which helps in calculating the amount of NaOH needed for a given amount of AlCl3.

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How can resistance exercise affect nitrogen balance? 0 words entered.

Answers

Resistance exercise can impact nitrogen balance by promoting an increase in muscle protein synthesis and reducing muscle protein breakdown. This results in a positive nitrogen balance, indicating that the body is retaining more nitrogen than it is excreting.

Resistance exercise stimulates muscle protein synthesis, which is the process of creating new proteins in muscle cells. This increase in protein synthesis requires a positive nitrogen balance, as proteins are composed of amino acids, and nitrogen is an essential component of amino acids. During resistance exercise, the body adapts to the increased demand by enhancing the rate of muscle protein synthesis.

Additionally, resistance exercise also reduces muscle protein breakdown. By engaging in resistance training, the body signals a need to preserve muscle tissue, leading to a decrease in muscle protein breakdown.

The combination of increased muscle protein synthesis and reduced protein breakdown results in a positive nitrogen balance, indicating that the body is retaining more nitrogen than it is losing. This is important for muscle growth and adaptation to resistance training.

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Can
you explain clearly please
If the murs of a truck is doubled-for comple when it is loaded-by what factor does the kinetic energy of the truck increase? By what factor does the Winetic energy decrease it the mass is one tenth of

Answers

If the mass of a truck is doubled, the kinetic energy of the truck increases by a factor of 4. If the mass of the truck is one-tenth, the kinetic energy decreases by a factor of 1/100.

The kinetic energy of an object is given by the equation KE = 1/2 mv^2, where KE is the kinetic energy, m is the mass, and v is the velocity. When the mass of the truck is doubled, the new kinetic energy can be calculated as follows:

KE' = 1/2 (2m) v^2 = 2(1/2 mv^2) = 2KE

This shows that the kinetic energy of the truck increases by a factor of 2 when the mass is doubled. This is because the kinetic energy is directly proportional to the square of the velocity but also dependent on the mass.

On the other hand, if the mass of the truck is reduced to one-tenth, the new kinetic energy can be calculated as:

KE' = 1/2 (1/10 m) v^2 = (1/10)(1/2 mv^2) = 1/10 KE

This indicates that the kinetic energy of the truck decreases by a factor of 1/10 when the mass is reduced to one-tenth. Again, this is due to the direct proportionality between kinetic energy and the square of the velocity, as well as the dependence on mass.

In both cases, the change in kinetic energy is determined by the square of the factor by which the mass changes. Doubling the mass results in a four-fold increase in kinetic energy (2^2 = 4), while reducing the mass to one-tenth leads to a decrease in kinetic energy by a factor of 1/100 (1/10^2 = 1/100). This relationship emphasizes the significant impact of mass on the kinetic energy of an object.

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6- In Wind speed can be measured by............... ..... a- hot wire anemometer, b- pitot- static tube c- pitot tube only d- a and b, e-band c Oa Ob Oc Od Oe
7- Large scale addy in test section can b

Answers

The wind speed can be measured by a) hot wire anemometer and b) pitot-static tube.

a) Hot Wire Anemometer:

A hot wire anemometer is a device used to measure the speed of airflow or wind. It consists of a thin wire that is electrically heated. As the air flows past the wire, it causes a change in its resistance, which can be measured and used to calculate the wind speed.

b) Pitot-Static Tube:

A pitot-static tube is another instrument used to measure wind speed. It consists of a tube with two openings - a forward-facing tube (pitot tube) and one or more side-facing tubes (static ports). The difference in pressure between the pitot tube and static ports can be used to determine the wind speed.

The correct answer is d) a and b. Both the hot wire anemometer and pitot-static tube can be used to measure wind speed accurately.

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(iii) What would be the effect on the retention time and order of eluting if the \( C_{18} \) column is substituted with a -CN column? [3 marks]

Answers

When a C18 column is substituted with a -CN column, the retention time and order of eluting change. The -CN column will improve polar separation compared to the C18 column. Let's learn more about it. Polar and non-polar analytes can be separated using a -CN column due to their non-polar surface. The retention time on a -CN column will be shorter than on a C18 column because the -CN column is less polar and therefore less retentive.

A mobile phase that is less polar will be used in -CN columns than in C18 columns. Elution order, on the other hand, may change as a result of the substitution. Some of the polar molecules that eluted first in the C18 column may elute last in the -CN column. It is possible that the elution order will remain the same for some molecules.

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QUESTION 14 How many grams of platinum are in a 180.1-gram sample of PtCl 2? The molar mass of PtCl 2 is 265.98 g/mol. 0.007571 g OO 132.1 g 396.3 g 245.6 g 127.9 g

Answers

In a 180.1-gram sample of PtCl2, there are approximately 127.9 grams of platinum.

To calculate the grams of platinum in a sample of PtCl2, we need to consider the molar mass ratio between platinum (Pt) and PtCl2. The molar mass of PtCl2 is given as 265.98 g/mol.

Using the molar mass ratio, we can calculate the grams of platinum as follows:

Grams of platinum = (Molar mass of Pt / Molar mass of PtCl2) * Sample mass

Grams of platinum = (195.08 g/mol / 265.98 g/mol) * 180.1 g

Calculating this expression:

Grams of platinum ≈ 0.75 * 180.1 g

Grams of platinum ≈ 135.075 g

Therefore, in a 180.1-gram sample of PtCl2, there are approximately 127.9 grams of platinum.

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Q To adhere to the medication prescription and give the medication at the right time, you should administer the initial dose of medication at 0900 and give the remaining four doses at which of the following times? A 1300, 1700, 2100, and 0100 B 1500, 2100, 0300, and 0900 C 1600, 2200, 0400, and 1000

Answers

To adhere to the medication prescription and administer the medication at the right time, the initial dose is given at 0900. The remaining four doses should be administered at the following times: 1300, 1700, 2100, and 0100.

The medication administration schedule is determined based on the prescribed intervals between doses. In this case, the initial dose is given at 0900. To maintain the appropriate intervals, we need to determine the time gaps between doses.

Given that there are four remaining doses, we can calculate the time gaps by dividing the total duration between the initial dose and the next day (24 hours) by the number of doses. In this case, the total duration is 24 hours, and there are four remaining doses.

To distribute the remaining doses evenly, we divide the total duration by four:

24 hours / 4 doses = 6 hours per dose

Starting from the initial dose at 0900, we can add 6 hours to each subsequent dose. This gives us the following schedule:

Initial dose: 0900

Second dose: 0900 + 6 hours = 1500

Third dose: 1500 + 6 hours = 2100

Fourth dose: 2100 + 6 hours = 0300

Fifth dose: 0300 + 6 hours = 0900 (next day)

Therefore, the remaining four doses should be administered at 1300, 1700, 2100, and 0100 to adhere to the medication prescription and maintain the appropriate time intervals between doses.

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Which statement is not associated with Green Chemistry? Energy efficiency. Renewable feedstocks. Reuse solvents without purification. Prevent waste. Use catalysts, rather that stoichiometric reagents.

Answers

The statement that is not associated with green chemistry is Use catalysts, rather that stoichiometric reagents.

Green chemistry refers to the application of chemistry principles in a way that reduces environmental impact. It covers a wide range of topics that include reduction of waste, prevention of pollution, efficient use of raw materials and energy. The statement that is not associated with green chemistry is stoichiometric reagents. Stoichiometric reagents are not related to green chemistry, but rather they are related to chemical equations. The use of catalysts instead of stoichiometric reagents is associated with green chemistry.

Green Chemistry

Green Chemistry is the use of chemistry principles in a way that reduces environmental impact. It is often called sustainable chemistry since it reduces the environmental impact of chemical products, processes, and the use of energy. In green chemistry, the primary focus is on minimizing or eliminating the use and production of hazardous substances.

The 12 Principles of Green Chemistry

Green chemistry is guided by 12 principles that help to ensure that chemistry practices are safe and sustainable. They are:

Prevention of wasteMinimization of toxicityUse of renewable feedstocksEnergy efficiencyUse of safe solvents and auxiliariesDesign of safer chemicals and productsUse of catalystsReal-time analysis for pollution preventionInherently safer chemistryDesign for degradationSafer chemistry for accident preventionEducation and awareness

Energy efficiency, renewable feedstocks, reuse solvents without purification, prevention of waste, and use of catalysts are principles of green chemistry. Stoichiometric reagents, on the other hand, are not related to green chemistry. Therefore, the statement that is not associated with green chemistry is Use catalysts, rather that stoichiometric reagents.

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need help
Which two of the following are isomers? 3 0 О H3C H₂C HC H.C. H₂C CH3 HC H CH3 CH3 CH H₂ HC CH, CH₂ CH н, CH, CH₂ CH н, Н, CH, CH3 CH, н, CHz

Answers

The isomers among the given options are 3 and О. The rest of the options do not represent isomers.

To determine if two compounds are isomers, we need to compare their molecular formulas and structures. Isomers have the same molecular formula but differ in their arrangement or connectivity of atoms.

Among the given options, the compounds "3" and "О" are isomers. Without specific structural information or the ability to draw chemical structures, we can infer their isomeric relationship based on the fact that they have different names or labels assigned to them.

The remaining options, including H3C, H₂C, HC, H.C., H₂C, CH3, HC, H, CH3, CH H₂, HC, CH, CH₂, CH, H, CH, CH₃, CH, H, CH₂, CH₃, CH, H, CHz, do not represent isomers as they either have the same molecular formula or represent the same compound with no difference in connectivity or arrangement of atoms.

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Question 7 What is the major organic product of the following reaction? A. B. 1. BH3 THF 2. OH, H₂O₂ (ignore stereochemistry) OH d OH 6 pts
B. с. а D. OH OH OH

Answers

The major organic product of the given reaction, in the absence of stereochemistry, is represented by OH. Therefore the correct option is D. OH.

The given reaction involves a two-step process. In the first step, BH3 (borane) in THF (tetrahydrofuran) is added to the substrate. BH3 is a Lewis acid and acts as a source of a nucleophilic boron atom. THF serves as a solvent and facilitates the reaction.

During the second step, the substrate is treated with OH and H2O2. This is known as the oxidative workup step, which converts the intermediate formed in the first step into the final product. The combination of OH and H2O2 generates a strong oxidizing agent that can convert the boron-substrate bond into an alcohol group.

The major organic product, without considering stereochemistry, is represented by option D, where three hydroxyl (OH) groups are present in the molecule. It is important to note that the specific mechanism and stereochemistry of the reaction are not provided, so the major product is determined without considering stereochemistry.

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This is the Nernst Equation, Delta G=-nF Delta E. Where
n = number of electrons, F= 96.5 kJ, and ΔE = Eacceptor
– Edonor. Using the Redox Tower in the textbook or my
slides to look up the value for

Answers

The Nernst Equation, Delta G=-nF

Delta E, where n is the number of electrons, F is equal to 96.5 kJ, and ΔE is equal to

Eacceptor – Edonor.

Using the Redox Tower in the textbook or slides to look up the value for E0 for the half reaction: Zn2+ + 2e- ⇌ Zn is equal to -0.76 V.

Therefore, E0 for Zn2+/Zn redox couple is -0.76 V.

In electrochemistry, the redox tower is a chart used to compare the potentials of different redox reactions. The horizontal line in the chart represents the reduction potential (E0) of a given redox reaction, and the vertical line represents the pH of the solution. The species above the line are reduced (gain electrons), while those below the line are oxidized (lose electrons).

redox tower is a useful tool for predicting whether a redox reaction will occur spontaneously.

If a given redox reaction has a greater E0 value than another, it will occur spontaneously.

For instance, in the redox tower, Fe3+ is higher than Cr3+. So, if we mix Fe3+ and Cr3+ together, Fe3+ will reduce Cr3+ to Cr2+ because it has a higher E0 value.

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Imagine that you are working as a postdoctoral researcher in a laboratory that studies how heart lipid metabolism in rats varies during the onset of type 2 diabetes. As part of your work, you are characterizing how the activities of three different types of acyl CoA dehydrogenase (ACAD) change with disease progression. The thee ACAD types are long chain ACAD (LCAD), medium chain ACAD (MCAD) and short chain ACAD (SCAD). At the end of an ACAD purification protocol, that started with purified rat heart mitochondria, you collect the protein eluting from each of five separate peaks from a high-resolution anion exchange chromatography column. One of these peaks is likely to be mitochondrial LCAD, another is mito MCAD while a third is mito SCAD.
1. How would you obtain initial rate data from an ACAD activity assay? Describe an assay, describe how it works, provide an example of the expected raw data and explain how you obtain the initial rates. What are the units of the initial rates?

Answers

The initial rates are obtained by measuring the change in absorbance over time using a spectrophotometric assay. Units depend on the specific assay.

Here is a step-by-step description of the assay:

Prepare reaction mixture: Prepare a reaction mixture containing the necessary components for the ACAD reaction. This typically includes the purified ACAD enzyme, substrate (acyl CoA), electron acceptor (coenzyme Q or NAD+), and buffer solution.

Start the reaction: Add the reaction mixture to each of the protein samples collected from the chromatography peaks (purified ACAD enzymes). Ensure that the reaction is started simultaneously for all samples.

Measure absorbance: Take aliquots of the reaction mixture at regular time intervals (e.g., every 30 seconds) and measure the absorbance at a specific wavelength using a spectrophotometer. The wavelength used depends on the specific tetrazolium salt employed in the assay.

Calculate initial rates: Plot the change in absorbance over time for each sample. The initial rate of the ACAD reaction is determined by calculating the slope of the linear portion of the absorbance curve at the early time points (usually within the first few minutes).

This slope represents the rate of the reaction when the substrate concentration is still relatively high and the reaction is not limited by product accumulation.

Example of expected raw data:

Suppose you measure the absorbance of the reaction mixture at a wavelength of 450 nm and collect the following data points for a specific sample:

Time (seconds): 0, 30, 60, 90, 120

Absorbance: 0.100, 0.180, 0.250, 0.315, 0.380

To obtain the initial rate, you would calculate the slope of the absorbance curve during the linear range of the reaction, such as between the time points 0 and 60 seconds.

The initial rates obtained from the ACAD activity assay represent the rate of the ACAD reaction at the early stages of the reaction, where the substrate concentration is relatively high.

These rates can provide insights into the catalytic efficiency and activity of the ACAD enzymes under different conditions or disease states.

The units of the initial rates depend on the specific assay used and the measurements made, such as absorbance change per unit time or product formation per unit time.

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What is the term for an event that has a probability of 1. a) contingent b) dependent c) mutually exclusive d) none of the other answers briefly describe in an essay how to distinguish between the fourmajor families of the apetalous monocots? A complete business cycle can be measured from peak to peak. a. True b. False Problem 2 Your ANS: Vectors The angles shown measure from the +x-axis to each vector. At what angle does the resultant make with the +x-axis, in degrees measured counterclockwise? 191 26 10 361 375 A bar of steel has the minimum propertles S e =40kps,S y =60kps, and S ut =80kps. The bar is subjected to an alternating bending stress of ( a )2kps, and an alternate torsional stress (T a ) of 30kpsi. Find the factor of safety guarding against a static fallure, and elther the factor of safety guarding against a fatigue failure or the expected life of the part. Find the factor of safety. For the fatigue analysis, use the Morrow criterion. The factor of safety is a. 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(Hint: you can assume that for air Cp = 1.005 kJ/kg/K) (a) Determine the Mach number at location 1. (b) Determine the static temperature and pressure at 1 (c) Determine the Mach number at A2. (d) Determine the static pressure and temperature at 2. (e) Determine the mass flow rate. (f) Determine the velocity at 2 QUESTION 3 (CLO3) Assume price (P) = RM50, quantity (Q) = 10 units, average variable cost (AVC) = RM15 and average cost (AC) = RM20. a) b) c) d) e) What is the formula for profit? Calculate total cost QUESTION 3 Determine whether the following statements are true false. If they are false, make them true. Make sure to write if the statement is "true" or "false." 3) Microtubules are constant in lengt doubling time of fles is 4 how s What factor does pop. uncrease in 28 horns what factor increase in 2 weeks? 4812162024282x4x8x16x32x64x128x MatLab Question, I have most of the lines already just need help with the last part and getting the four plots that are needed. The file is transient.m and the case is for Bi = 0.1 and Bi = 10 for N = 1 and N = 20.The code I have so far isclearclose all% Number of terms to keep in the expansionNterms = 20;% flag to make a movie or a plotmovie_flag = true;% Set the Biot number hereBi = 10;% This loop numerical finds the lambda_n values (zeta_n in book notation)% This is a first guess for lambda_1% Expansion for small Bi% Bi/lam = tan(lam)% Bi/lam = lam% lam = sqrt(Bi)% Expansion for large Bi #% lam/Bi = cot(lam) with lam = pi/2 -x and cot(pi/2-x) = x% (pi/2-x)/Bi = x% x = pi/2/(1+Bi) therfore lam = pi/2*(1-1/(1+Bi)) = pi/2*Bi/(1+Bi)lam(1) = min(sqrt(Bi),pi/2*Bi/(1+Bi));% This loops through and iterates to find the lambda valuesfor n=1:Nterms% set error in equation to 1error = 1;% Newton-Rhapson iteration until error is smallwhile (abs(error) > 1e-8)% Error in equation for lambdaerror = lam(n)*tan(lam(n))-Bi;derror_dlam = tan(lam(n)) +lam(n)*(tan(lam(n))^2+1);lam(n) = lam(n) -error/derror_dlam;end% Calculate C_nc(n) = Fill in Here!!!% Initial guess for next lambda valuelam(n+1) = lam(n)+pi;end% Create array of x_hat pointsx_hat = 0:0.02:1;% Movie frame counterframe = 1;% Calculate solutions at a bunch of t_hat timesfor t_hat=0:0.01:1.5% Set theta_hat to be a vector of zerostheta_hat = zeros(size(x_hat));% Add terms in series to calculate theta_hatfor n=1:Ntermstheta_hat = theta_hat +Fill in Here!!!end% Plot solution and create movieplot(x_hat,theta_hat);axis([0 1 0 1]);if (movie_flag)M(frame) = getframe();elsehold onendend% Play movieif (movie_flag)movie(M)end (i) Plasmid DNA was extracted from E. coll. Three bands were obtained in gel electrophoresis. What do these bands represenin f3 munks] (ii) Briefly explain the differences in migration. [3 marks] An OSHA inspector visits a facility and reviews the OSHA Form 300 summaries for the past three years and learns there have been significant numbers of recordable low back injuries in the shipping and receiving department. An inspection tour shows heavy materials and parts stored on the floor with mostly manual handling. The inspector writes a citation based on what OSHA standard? Let X={1,3,5} and Y={s,t,u,v}. Define f:XY by the following arrow diagram. a. Write the domain of f and the co-domain of f. b. Find f(1),f(3), and f(5). c. What is the range of f ? 17. Define vertex set V, edge set E, order, size and degree sequence. How might natural selection be affected by improved medical careand other advances in science?