An ideal gaseous reaction (which is a hypothetical gaseous reaction that conforms to the laws governing gas behavior) occurs at a constant pressure of 35.0 atm and releases 71.8 kJ of heat. Before the reaction, the volume of the system was 7.00 L
After the reaction, the volume of the system was 2.60 L Calculate the total internal energy change, ΔE , in kilojoules.
Express your answer with the appropriate units.

Answers

Answer 1

When, the volume of the system was 2.60 L. Then, the total internal energy change is -71.8 kJ.

We can use the first law of thermodynamics to find the total internal energy change;

[tex]Δ_{E}[/tex] = q + w

where q is the heat transferred to or from the system and w is the work done on or by the system. At constant pressure, work done is given by;

w = -P[tex]Δ_{V}[/tex]

where P is pressure and [tex]Δ_{V}[/tex] is change in volume.

Using the given values, we have:

q = -71.8 kJ (since heat is released)

P = 35.0 atm = 3.56×10⁶ Pa (using the conversion factor 1 atm = 101325 Pa)

[tex]Δ_{V}[/tex] = 7.00 L - 2.60 L = 4.40 L = 4.40×10⁻³ m³ (using the conversion factor 1 L = 10⁻³ m³)

Therefore,

w = -P[tex]Δ_{V}[/tex]= -(3.56×10⁶ Pa)(4.40×10⁻³ m³) = -15.7 J

= -1.57×10⁻² kJ

Thus, the total internal energy change is;

[tex]Δ_{E}[/tex] = q + w = (-71.8 kJ) + (-1.57×10⁻² kJ)

= -71.8 kJ - 1.57×10⁻² kJ

= -71.8 kJ

Therefore, the total internal energy change is -71.8 kJ.

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Related Questions

Which of the following statements regarding the skeletal structure of the organic molecule shown
below is/are true?
K
2
3
H
H
I. A sp² hybrid orbital on C-1 overlaps with a sp hybrid orbital on C-2 to form the sigma
bond between
C-1 and C-2.
II. The bonds between C-2 and C-3 are formed from overlap of sp hybrid orbitals.
III. There are 10 sigma bonds in this molecule.
IV. The bond angle about C-2 is 109.5⁰.
V. The lone pair on the nitrogen atom is in a sp² orbital.

Answers

A sp² hybrid orbital on C-1 overlaps with a sp hybrid orbital on C-2 to form the sigma bond between C-1 and C-2. This statement regarding the skeletal structure of the organic molecule true. The correct option is option A.

In general, molecules containing carbon (C) are referred to as organic compounds. Carbon atoms serve as the primary structural framework for the enormous diversity of naturally occurring compounds. Organic substances play a critical role in the existence of all life forms on Earth (and perhaps elsewhere in the universe). A sp² hybrid orbital on C-1 overlaps with a sp hybrid orbital on C-2 to form the sigma bond between C-1 and C-2.

Therefore, the correct option is option A.

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the relative formula masses (Mr) are: CaCo3 = 100; CaO =56 ; Co2=44

describe how this experiment could be used to provide evidence for the law of conservation of mass.

[6 marks]
include your answer:

-method

-which measurements should eb taken

-how the student could show evidence for the conservation for mass

Answers

The law of conservation of mass states that in a chemical reaction, the total mass of the reactants is equal to the total mass of the products. To provide evidence for this law, we can perform an experiment in which calcium carbonate ([tex]CaCO_3[/tex]) is decomposed to produce calcium oxide (CaO) and carbon dioxide ([tex]CO_2[/tex] ), and then measure the masses of the reactants and products.

Method:

Weigh a sample of [tex]CaCO_3[/tex] using a balance.

Heat the [tex]CaCO_3[/tex] in a crucible until it decomposes to CaO and [tex]CO_2[/tex]. The [tex]CO_2[/tex] gas will escape, leaving only CaO in the crucible.

Allow the crucible to cool and then weigh it again to determine the mass of the CaO produced.

Collect the [tex]CO_2[/tex] gas that is released during the reaction in a gas syringe or other collection device. Measure the volume of [tex]CO_2[/tex] gas produced, and calculate its mass using its molecular weight.

Which measurements should be taken:

The following measurements should be taken:

The mass of the [tex]CaCO_3[/tex] used as a reactant.

The mass of the CaO produced as a product.

The volume of [tex]CO_2[/tex] gas produced during the reaction.

The temperature and pressure of the [tex]CO_2[/tex] gas to allow for the calculation of its mass.

How the student could show evidence for the conservation of mass:

To show evidence for the law of conservation of mass, the student can compare the mass of the [tex]CaCO_3[/tex] used as a reactant to the total mass of the products, which includes the mass of CaO produced and the mass of [tex]CO_2[/tex] gas released.

The sum of the masses of CaO and [tex]CO_2[/tex] should be equal to the mass of the [tex]CaCO_3[/tex] used as a reactant, within experimental error. This will provide evidence that the mass of the reactants is conserved and equals the mass of the products, as required by the law of conservation of mass.

Additionally, the student could calculate the theoretical yield of CaO and CO2 based on the balanced equation for the reaction, and compare this to the actual yield obtained from the experiment. Any difference between the theoretical and actual yields could be due to experimental error, but the comparison can still provide additional evidence for the conservation of mass.

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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

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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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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Why does it conduct more before and after this minimum point? Explain how and why the ion concentrations change.

Answers

After the minimum point, the conductance typically increases again as the concentration of ions in the solution increases.

Without additional context, it is difficult to determine what exactly is being referred to by "this minimum point." However, in general, the conductance of an electrolyte solution depends on the concentration of ions in the solution. Before the minimum point, the conductance typically increases as the concentration of ions in the solution increases. This is because more ions are available to carry the electric current through the solution, leading to a higher conductance. At the minimum point, the conductance reaches a minimum value due to a balance between the effect of ion concentration and the effect of ion mobility. At this point, the concentration of ions in the solution is not high enough to support a high conductance, while the mobility of the ions is not low enough to reduce the conductance significantly. The ion concentration rises to a level where it can support a larger conductance than at the minimum point, which causes this increase in conductance to occur. The addition or removal of a solute, the reaction between various species in the solution, or any number of other events can cause the concentration of ions in the solution to change throughout the process of changing ion concentrations. The amount of accessible ions in the solution is affected by the change in concentration, and this in turn influences the conductance of the solution. In conclusion, the concentration of ions in an electrolyte solution affects the conductance of the solution. The conductance rises with increasing ion concentration, falls to a minimal value at a specific point, and then rises once more with increasing ion  concentration continues to increase. The ion concentration in the solution can change due to various factors, which can affect the conductance of the solution.

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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

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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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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Mescaline a hallucinogenic amine obtained from the peyote cactus has been synthesized in two steps from 3 4 5 trimethoxybenzyl bromide The first step is nucleophile substitution by sodium cyanide. The second step is a lithium aluminum anhydride reduction. Indicate the reactions and give the structure of mescaline

Answers

Mescaline produces a wide range of psychoactive effects when ingested, including altered perception of reality, hallucinations, and euphoria. It is a powerful psychedelic drug that has been used for centuries by Native American tribes in spiritual ceremonies

Mescaline is a hallucinogenic alkaloid that is derived from the Peyote cactus. Mescaline is a complex organic molecule that can be synthesized in the laboratory from 3,4,5-trimethoxybenzyl bromide in two steps.The first step involves nucleophilic substitution using sodium cyanide, and the second step is a reduction using lithium aluminum hydride (LAH).Here's how mescaline can be synthesized from 3,4,5-trimethoxybenzyl bromide:Step 1: Nucleophilic substitution using sodium cyanideThe reaction of 3,4,5-trimethoxybenzyl bromide with sodium cyanide results in the formation of the nitrile derivative. NaCN serves as the nucleophile in this reaction, and it replaces the bromide ion.The mechanism for this reaction involves the following steps: A nucleophilic attack by the cyanide ion on the benzyl bromide. The carbon-bromine bond breaks, and the benzyl cation is formed. A second nucleophilic attack by the cyanide ion occurs on the benzyl cation, resulting in the formation of the nitrile derivative.Here's the reaction equation for this step:Step 2: Reduction using lithium aluminum hydrideThe next step is the reduction of the nitrile derivative using LAH. LAH serves as a strong reducing agent in this reaction and reduces the nitrile derivative to the amine. The mechanism for this reaction involves the following steps: A nucleophilic attack by LAH on the nitrile derivative. This results in the formation of an imine intermediate. The imine intermediate reacts with another LAH molecule, resulting in the formation of the amine.Here's the reaction equation for this step:Mescaline structure: Mescaline is a psychoactive compound that belongs to the phenethylamine class of alkaloids. The structure of mescaline is as follows: The molecule has three methoxy groups attached to the benzene ring, and it has an amine functional group. The molecule is a white crystalline powder that is soluble in water and alcohol.

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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

what complex do copper sulfate and sodium hydroxide form

Answers

Answer: copper hydroxide

Explanation:

Copper(II) hydroxide is the hydroxide of copper with the chemical formula of Cu(OH)2. It is a pale greenish-blue or bluish-green solid. Some forms of copper(II) hydroxide are sold as "stabilized" copper(II) hydroxide, although they likely consist of a mixture of copper(II) carbonate and hydroxide.

Example:

2NaOH+CuSO4→Na2SO4+Cu(OH)2

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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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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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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