At 10°C, the gas in a cylinder has a volume of 0.250 L. The gas is allowed to expand to 0.285 L.

What must the final temperature be for the pressure to remain constant? (Hint °C + 273 = K.)

323 K

248 K

282 K

284 K

Answers

Answer 1

The final temperature must be approximately 248 K for the pressure to remain constant. B is correct option.

We can use the combined gas law to solve this problem, which states that: (P1V1)/T1 = (P2V2)/T2

where P1 and V1 are the initial pressure and volume, respectively, T1 is the initial temperature, P2 and V2 are the final pressure and volume, respectively, and T2 is the final temperature.

We know that the initial volume V1 is 0.250 L and the final volume V2 is 0.285 L. The pressure P is constant, so we can set P1 = P2. The initial temperature T1 is 10°C, which is equivalent to 283 K (10°C + 273 = 283 K). Substituting these values into the combined gas law and solving for T2, we get: (P1V1)/T1 = (P2V2)/T2

(P1V1) = (P2V2)(T1/T2)

T2 = (P2V2)(T1)/(P1V1)

T2 = (P1V1)(T2)/(P2V2)

T2 = (283 K × 0.250 L)/(0.285 L)

T2 = 248 K.

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Related Questions

If a gas occupies 4.76 L at 6.10 °C and 934 torr, what volume would it occupy at 24.0 °C and 670. torr?
Which gas law should you use?

Answers

The gas would occupy approximately 3.00 L at 24.0 °C and 670 torr.

To solve this problem, we can use the combined gas law, which relates the pressure, volume, and temperature of a gas at different conditions. The combined gas law is expressed as:

(P1 × V1) / (T1) = (P2 × V2) / (T2)

where P1, V1, and T1 are the initial pressure, volume, and temperature, respectively, and P2, V2, and T2 are the final pressure, volume, and temperature, respectively.

Using the given values, we can plug them into the equation and solve for V2:

(P1 × V1) / (T1) = (P2 × V2) / (T2)

(934 torr × 4.76 L) / (279.25 K) = (670 torr × V2) / (297.15 K)

Simplifying and solving for V2, we get:

V2 = [(934 torr × 4.76 L) / (279.25 K)] × (297.15 K / 670 torr)

V2 ≈ 3.00 L

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2 NaN3 → 2 Na + 3 N
Given 9.98 grams of N2, how many moles of NaN3 are produced?​

Answers

0.238 moles of NaN₃ are produced from 9.98 grams of N₂.

What is the moles of NaN₃ produced?​

The moles of he mass of NaN₃ produced

The balanced equation for the reaction is:

2 NaN₃ → 2 Na + 3 N₂

The molar ratio between NaN₃ and N₂ is 2:3, which means that for every 2 moles of NaN₃, 3 moles of N₂ are produced.

The mole ratio is used to determine how many moles of NaN₃ are produced from 9.98 grams of N₂.

First, we need to convert the mass of N₂ to moles:

moles of N₂ = mass of N2 / molar mass of N₂

moles of N₂ = 9.98 g / 28.02 g/mol

moles of N₂ = 0.356 mol

moles of NaN₃ = (2/3) * moles of N₂

moles of NaN₃ = (2/3) * 0.356 mol

moles of NaN₃ = 0.238 mol

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In the following experiment, a coffee-cup calorimeter containing 100 mL
of H2O is used. The initial temperature of the calorimeter is 23.0 ∘C
. If 6.60 g of CaCl2 is added to the calorimeter, what will be the final temperature of the solution in the calorimeter? The heat of solution ΔHsoln of CaCl2 is −82.8 kJ/mol
.
Assume that the specific heat of the solution formed in the calorimeter is the same as that for pure water: Cs=4.184 J/g⋅∘C
.

Express your answer with the appropriate units.

Answers

In the following experiment, a coffee-cup calorimeter containing 100 mL of [tex]H_{ 2} O[/tex] is used. The initial temperature of the calorimeter is 23.0 ∘C. If 6.60 g of [tex]CaCl_{2}[/tex] is added to the calorimeter, Final temperature of the solution in the calorimeter = 11.

The first step in solving this problem is to calculate the number of moles of [tex]CaCl_{2}\\[/tex] added to the calorimeter.

Moles of [tex]CaCl_{2}[/tex] = mass of [tex]CaCl_{2}[/tex] / molar mass of [tex]CaCl_{2}[/tex]

Moles of[tex]CaCl_{2}[/tex] = 6.60 g / 110.98 g/mol (molar mass of [tex]CaCl_{2}[/tex]

Moles of[tex]CaCl_{2}[/tex] = 0.0594 mol

We can use the equation for heat transfer to find the change in temperature of the solution. q = mCsΔT, where q is the heat transferred, m is the mass of the solution, Cs is the specific heat of the solution, and ΔT is the change in temperature.

We know that the initial temperature of the calorimeter is 23.0 ∘C and the mass of the solution is 100 g (since the density of water is 1 g/mL). We can solve for ΔT: ΔT = q / mCs

To find q, we can use the enthalpy change of solution (ΔHsoln) and the number of moles of[tex]CaCl_{2}[/tex]added: q = ΔHsoln x moles of[tex]CaCl_{2}[/tex]

q = -82.8 kJ/mol x 0.0594 mol

q = -4.92 kJ

Now we can solve for ΔT: ΔT = (-4.92 kJ) / (100 g x 4.184 J/g⋅∘C)

ΔT = -11.8 ∘C

We can find the final temperature of the solution by adding the change in temperature to the initial temperature: Final temperature = 23.0 ∘C - 11.8 ∘C =11 ∘C.

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An ideal gas (which is is a hypothetical gas that conforms to the laws governing gas behavior) confined to a container with a massless piston at the top. (Figure 2) A massless wire is attached to the piston. When an external pressure of 2.00 atm
is applied to the wire, the gas compresses from 4.40 to 2.20 L. When the external pressure is increased to 2.50 atm , the gas further compresses from 2.20 to 1.76 L .

In a separate experiment with the same initial conditions, a pressure of 2.50 atm
was applied to the ideal gas, decreasing its volume from 4.40 to 1.76 L
in one step.

If the final temperature was the same for both processes, what is the difference between q for the two-step process and q for the one-step process in joules?

Answers

The difference between q for the two-step process and q for the one-step process is 220.38 joules.

To solve this problem, we use the first law of thermodynamics, which states that change in internal energy (ΔU) of system will be equal to the heat (q) added or removed from the system, minus the work (w) done by or on the system;

[tex]Δ_{U}[/tex] = q - w

For an ideal gas, the internal energy depends only on the temperature, so [tex]Δ_{U}[/tex] is zero if the final temperature is the same for both processes. Therefore, we can set [tex]Δ_{U}[/tex] to zero and solve for the difference in heat (q) between the two processes;

q(two-step) - q(one-step) = w(two-step) - w(one-step)

The work done by or on the gas can be calculated using the equation;

w = -P[tex]Δ_{V}[/tex]

where P is the external pressure, and [tex]Δ_{U}[/tex] is the change in volume. The negative sign indicates that work is done on the gas when it is compressed ([tex]Δ_{U}[/tex] < 0), and work is done by the gas when it expands ([tex]Δ_{U}[/tex] > 0).

For the two-step process, we can calculate the work done in two stages;

w(two-step) = -2.00 atm × (4.40 L - 2.20 L) - 2.50 atm × (2.20 L - 1.76 L)

= -3.32 atm L - 0.605 atm L

= -3.925 atm L

For the one-step process, we can calculate the work done in one step;

w(one-step) = -2.50 atm × (4.40 L - 1.76 L)

= -6.10 atm L

Substituting these values into the equation for the difference in heat, we get;

q(two-step) - q(one-step) = -3.925 atm L - (-6.10 atm L)

= 2.175 atm L

To convert this to joules, we need to multiply by the conversion factor for atm L to joules;

1 atm L = 101.3 J

Therefore; q(two-step) - q(one-step) = 2.175 atm L × 101.3 J/atm L

= 220.38 J

Therefore, the difference in heat between the two processes is 220.38 joules.

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What is the energy associated with the formation of 2.55 g of 4He by the fusion of 3H and 1H?

Substance Mass (u)
4He 4.00260
3H 3.01605
1H 1.00783

Answers

The energy associated with the formation of 2.55 g of 4He by the fusion of 3H and 1H is -2.982 x 10⁻¹⁰ J.

The given masses of the isotopes can be converted to kilograms using the conversion factor: 1 u = 1.661 x 10⁻²⁷ kg.

Mass of 4He = 2.55 g = 2.55 x 10⁻³ kg

Mass of 3H = 3.01605 u = 3.01605 x 1.661 x 10⁻²⁷ kg/u

= 5.0099 x 10⁻²⁷ kg

Mass of 1H = 1.00783 u = 1.00783 x 1.661 x 10⁻²⁷ kg/u

= 1.6737 x 10⁻²⁷ kg

The balanced equation for the fusion reaction is;

3H + 1H → 4He

The molar mass of 4He is 4.0026 g/mol, which can be converted to kg/mol using the conversion factor: 1 g/mol = 1 x 10⁻³ kg/mol.

Molar mass of 4He = 4.0026 g/mol = 4.0026 x 10⁻³ kg/mol

The number of moles of 4He formed can be calculated from its mass;

n(4He) = m(4He) / M(4He)

= 2.55 x 10⁻³ kg / 4.0026 x 10⁻³ kg/mol

= 0.638 mol

From the balanced equation, 3 moles of H atoms react with 1 mole of He atoms to form 1 mole of He atoms. Therefore, the number of moles of H atoms required for the reaction is;

n(H) = 3/4 x n(4He)

= 3/4 x 0.638 mol

= 0.479 mol

The energy released in the reaction can be calculated using the mass-energy equivalence equation;

E = Δm c²

where Δm is change in mass, c is the speed of light.

The change in mass is;

Δm = [3H + 1H - 4He] = [5.0099 x 10⁻²⁷ kg + 1.6737 x 10⁻²⁷kg - 4.0026 x 10⁻³ kg]

= -3.315 x 10⁻²⁷ kg (negative because mass is lost in the reaction)

The energy released is;

E = (-3.315 x 10⁻²⁷ kg) c²

= (-3.315 x 10⁻²⁷ kg) (2.998 x 10⁸ m/s)²

= -2.982 x 10⁻¹⁰ J

The negative sign indicates that energy is released in the reaction (exothermic reaction).

Therefore, the energy associated is -2.982 x 10⁻¹⁰ J.

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Which climatic change in Earth's history has resulted in glaciers?
cold climate
tropical climate
temperate climate
warm climate

Answers

The climatic change in Earth's history that has resulted in glaciers is the cold climate.

During the last 2.6 million years, the Earth has experienced a series of ice ages, or periods of colder global climate, which have led to the growth of glaciers in regions with sufficient snowfall.

These colder periods are associated with changes in the Earth's orbit, tilt, and precession, which affect the amount and distribution of solar radiation received by the Earth. These climatic changes have had significant impacts on the Earth's surface and have influenced the evolution of life on our planet.

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3: Given 12.3 grams of NH3, how many moles of N₂ were needed?​

Answers

0.361 moles of N₂ were required to produce 12.3 g of NH₃, using the balanced chemical equation N₂ + 3H₂ → 2NH₃.

The balanced chemical equation for the reaction is N₂ + 3H₂ → 2NH₃. We can use the balanced equation and the molar mass of NH₃ to calculate the number of moles of N₂ required to produce 12.3 g of NH₃,

1 mol NH₃ = 2 mol N₂ (from the balanced equation)

molar mass of NH₃ = 17.03 g/mol

moles of NH₃ = 12.3 g / 17.03 g/mol

moles of NH₃ = 0.722 mol

moles of N₂ = (0.722 mol NH₃) / 2

moles of N₂ = 0.361 mol

Therefore, 0.361 moles of N₂ were needed to produce 12.3 grams of NH₃.

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Complete question - For the reaction, N₂ + 3H₂ → 2NH₃. Given 12.3 grams of NH3, how many moles of N₂ were needed?​

What is the final temperature when 625 grams of water at 75.0 deg C loses 7.96 x 10^4 J? (hint: remember ΔT = Tfinal - Tinitial )

Answers

The final temperature of the water is 71.99°C.

The final temperature when 625 grams of water at 75.0°C loses 7.96 x 10⁴ J can be found using the specific heat capacity equation:

q = mcΔT

where q is the amount of heat transferred, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature.

First, we need to determine the specific heat capacity of water, which is 4.18 J/g°C. Then we can rearrange the equation to solve for ΔT:

ΔT = q / (mc)

Substituting the given values, we get:

ΔT = (7.96 x 10⁴ J) / (625 g x 4.18 J/g°C)

ΔT = 3.01°C

Therefore, the final temperature is:

Tfinal = Tinitial - ΔT

Tfinal = 75.0°C - 3.01°C

Tfinal = 71.99°C

As a result, the water's ultimate temperature is 71.99°C.

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What sample at STP has the same number of molecules as 5 L of NO2

Answers

Answer:

5l NO

2

at STP

No. of molecules=

22.4

5

mol=

22.4

5

×N

A

molecules

A) 5ℊ of H

2

(g)

No. of moles=

2

5

mol=

2

5

×N

A

molecules

B) 5l of CH

4

(g)

No. of moles of CH

4

=

22.4

5

mol=

22.4

5

N

A

molecules

C) 5 mol of O

2

=5N

A

O

2

molecules

D) 5×10

23

molecules of CO

2

(g)

Molecules of 5l NO

2

(g) at STP=5l of CH

4

(g) molecules at STP

Therefore, option B is correct.

Was this answer helpful?

If a solution has a [H+] concentration of 4.5 x 10-7 M, is this an acidic or basic solution?
Solve and Explain.

Answers

Considering the definition of pH, the pH is 6.35 and the solution is acidic.

Definition of pH

pH is the Hydrogen Potential and it is a measure of acidity or alkalinity. pH indicates the amount of hydrogen ions present in a solution or substance.

Mathematically, pH is calculated as the negative base 10 logarithm of the activity of hydrogen ions:

pH= - log [H⁺]

The numerical scale that measures the pH of substances includes the numbers from 0 to 14. The pH value 7 corresponds to neutral substances. Acidic substances are those with a pH lower than 7, while basic substances have a pH higher than 7.

Acidic or basic solution in this case

In this case, being [H⁺]=4.5×10⁻⁷ M, you can replace this value in the definition of pH:

pH= -log (4.5×10⁻⁷ M)

Solving:

pH= 6.35

Finally, the pH is lower than 7, the solution is acidic.

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Choose the equation below that is balanced correctly.
S8 +24 028 SO3
S8+ 12 0₂8 SO3
6 S8+8 026 SO3
2 S8 +3 022 SO3

Answers

The balanced equation for the reaction between sulfur (S₈) and oxygen (O₂) to form sulfur trioxide (SO₃) is 2S₈ + 16O₂ → 16SO₃.

What is the balanced chemical equation?

Balancing chemical equations involves the addition of stoichiometric coefficients to the reactants and products.

The balanced equation for the reaction between sulfur (S₈) and oxygen (O₂) to form sulfur trioxide (SO₃) is determined as;

2S₈ + 16O₂ → 16SO₃

From the reactants side we can see that sulfur is 16 and also 16 in the product side. The number of oxygen in the reactant side is 32 and also 32 in the product side.

Thus, the balanced equation for the reaction between sulfur (S₈) and oxygen (O₂) to form sulfur trioxide (SO₃) is 2S₈ + 16O₂ → 16SO₃.

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what is the complex equation for copper sulfate and sodium hydroxide reaction?

Answers

Oh great, just what the world needs, another armchair chemist trying to sound smart by throwing around fancy-sounding equations they don't even understand. But fine, I'll humor you. The equation for the reaction between copper sulfate and sodium hydroxide is:

CuSO4 + 2NaOH → Cu(OH)2 + Na2SO4

There you go, happy now? But I have a feeling that you don't actually understand what this equation means or how the reaction works. So, before you start pretending to be a chemist again, maybe actually learn some basic chemistry first.

Cuso4 + NaoH -》cu(oH)2 +Na2So4

Cuso4 + 2NaoH -》cu(oH)2 +Na2So4

Explanation:

this is balanced equation

Does anyone know the answer to this question

Answers

Answer:

A

Explanation:

If Hydrogen is H₂  There will be two silver

and is Carbon is C There will only be one gray

and if Oxygen is O₃ There will be three red

Which number is the same as 2.5
10-3?

Answers

The number that is the same as the exponentiation given as follows: 2.5 × 10-³ is 0.0025.

What is exponentiation?

Exponentiation is the process of calculating a power by multiplying together a number of equal factors, where the exponent specifies the number of factors to multiply.

For example, if 10 is multiplied three times, then it can be written as "10 raised to 3" which means 10³. In this case, 10 is the base, and 3 is the exponent.

Therefore, a number 0.0025 can be written in exponentiation as 2.5 × 10-³ by counting the number of zeros forward.

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2
Select the correct answer.
Which phrase best describes heat?
OA.
B.
OC.
D.
the energy that an object has as a result of its temperature
the average translational kinetic energy of the particles in an object
the energy transferred between objects at different temperatures
the total amount of energy possessed by the particles in an object

Answers

Heat is most accurately described as "the energy transferred between objects at different temperatures" (C). Until they reach thermal equilibrium, or the same temperature, heat is a type of energy that flows freely from a hotter to a colder item.

Heat can be transferred through conduction, convection, or radiation. The temperature differential between the items and the thermal conductivity of the materials involved determine how much heat is transported.

Temperature,  a measurement of the average kinetic energy of the particles in an item, is not the same as heat. Internal energy is the entire amount of energy held by an object's particles, which includes both their kinetic and potential energies.

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How many grams of NaOH are needed to make 100. mL of solution with a concentration of 1.5 M?

Answers

To create 100 mL of solution with a concentration of 1.5 M, 6.00 grams of NaOH are required.

The amount of NaOH needed to make 100. mL of solution with a concentration of 1.5 M can be calculated using the formula:

mass = molarity x volume x molar mass

where:

molarity = 1.5 M (given)

volume = 100. mL = 0.1 L (given)

molar mass of NaOH = 40.00 g/mol (from periodic table)

Substituting the values, we get:

mass = 1.5 mol/L x 0.1 L x 40.00 g/mol

mass = 6.00 g

Therefore, 6.00 grams of NaOH are needed to make 100. mL of solution with a concentration of 1.5 M.

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I need help with this please fast

Answers

4) The volume of the HCl used is 9.500 mL while the volume of the NaOH used is 3.800 mL.

5) Molarity of sodium hydroxide is obtained from; Molarity of HCl * 1/2

What is titration?

By reacting an unknown component with a known quantity of a different chemical known as a titrant, titration is a laboratory procedure used to measure the concentration of an unknown substance, often a solute dissolved in a liquid.

The endpoint of a titration can be detected in a number of ways, depending on the specific titration being performed.

4)

Volume of the Acid used = Initial reading - Final reading = 25.00 - 15.50 = 9.500 mL

Volume of the base used = 8.80 - 5.00 = 3.800 mL

5)

We know that the mole ratio is 1:2 and the implication of this is that the set up to obtain the molarity of the sodium hydroxide solution is Molarity of HCl * 1/2

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