Chemical Thermodynamics Quiz

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Questions and Answers

What is the change in free energy (ΔG) for the reaction 2 A(g) + B2(g) → 2 AB(g)?

  • −400 kJ
  • −100 kJ
  • −200 kJ (correct)
  • −250 kJ

Which expression correctly determines the temperature at which a reaction becomes spontaneous?

  • T = ΔH / ΔS (correct)
  • T = ΔH / ΔG
  • T = ΔS / ΔG
  • T = ΔG / ΔS

At which temperature is the standard free energy change measured?

  • 310 K
  • 298 K (correct)
  • 350 K
  • 250 K

What happens to the value of ΔG as the temperature increases for a spontaneous reaction?

<p>ΔG becomes less negative or positive. (B)</p> Signup and view all the answers

What is the standard Gibbs free energy of formation (ΔG°f) for B2(g)?

<p>−100 kJ/mol (C)</p> Signup and view all the answers

What is a primary factor that leads to an increase in entropy within a system?

<p>Phase change from solid to liquid (C)</p> Signup and view all the answers

In which of the following processes is the entropy change (ΔS) expected to be negative?

<p>Condensation of water vapor (D)</p> Signup and view all the answers

What is meant by microstates in relation to entropy?

<p>The number of energetically equivalent arrangements possible (D)</p> Signup and view all the answers

What happens to entropy (S) when the temperature of a system increases?

<p>It increases (C)</p> Signup and view all the answers

For the reaction 2 KClO3(s) → 2 KCl(s) + 3 O2(g), what is the expected sign of ΔS and why?

<p>ΔS = +, because the number of particles increases (C)</p> Signup and view all the answers

According to Boltzmann's equation, which variable represents the number of energetically equivalent arrangements?

<p>W (B)</p> Signup and view all the answers

Which statement is true regarding the physical states of matter and their entropic behavior?

<p>Solids have the highest degree of organization (A)</p> Signup and view all the answers

In the context of chemical thermodynamics, what does an increase in the number of gas particles do to system entropy?

<p>Increases the entropy (C)</p> Signup and view all the answers

What is the value of W when there are two particles and four possible locations?

<p>16 (C)</p> Signup and view all the answers

What happens to the number of microstates when the divider is removed from a box containing two particles?

<p>It increases to 16 (A)</p> Signup and view all the answers

Which of the following statements about macrostates is true?

<p>The most probable macrostate contains the highest number of microstates. (C)</p> Signup and view all the answers

How many possible arrangements (microstates) exist when particles A and B are together in a single location?

<p>1 (D)</p> Signup and view all the answers

For two particles A and B in separate locations, how many microstates can be formed?

<p>6 (A)</p> Signup and view all the answers

Which configuration of particles A and B corresponds to the least probable macrostate?

<p>A in top left, B in bottom area (D)</p> Signup and view all the answers

What does removing the divider imply for the relationship between microstates and macrostates?

<p>Microstates increase and macrostates increase. (C)</p> Signup and view all the answers

Which statement best explains the relationship between microstates and macrostates?

<p>Each macrostate can be represented by multiple microstates. (A)</p> Signup and view all the answers

What is the value of ΔS° for the vaporization of liquid mercury?

<p>99.1 J/mol・K (A)</p> Signup and view all the answers

At what minimum temperature does the vaporization of mercury become spontaneous?

<p>620 K (D)</p> Signup and view all the answers

What is the standard free energy change for the formation of water from hydrogen and oxygen according to the reaction provided?

<p>-457.1 kJ (C)</p> Signup and view all the answers

In the equation for calculating the standard Gibbs free energy change, which variable represents the temperature in Kelvin?

<p>T (B)</p> Signup and view all the answers

Which formula calculates the change in free energy for a reaction under nonstandard conditions?

<p>ΔG = ΔG° + RT ln Q (C)</p> Signup and view all the answers

What is the significance of the variable R in the equation ΔG = ΔG° + RT ln Q?

<p>It is the gas constant. (C)</p> Signup and view all the answers

Which reaction has a standard free energy change (ΔG°) of -2108.2 kJ as shown in the example?

<p>Combustion of propane (C)</p> Signup and view all the answers

How is the value of ΔH° for the vaporization of mercury determined?

<p>By subtracting the enthalpy of Hg(g) from that of Hg(l) (C)</p> Signup and view all the answers

What is ΔGrxn° for the reaction: 2 A(g) + B2(g) → 2 AB(g) given the choices?

<p>−200 kJ (D)</p> Signup and view all the answers

Which equation is used to find the standard free energy change of a reaction?

<p>ΔGrxn° = Σ m[ΔGf°(products)] - Σ n[ΔGf°(reactants)] (B)</p> Signup and view all the answers

What is the correct value of the standard free energy of formation for oxygen gas (O2)?

<p>0 kJ/mol (D)</p> Signup and view all the answers

What do the ΔGf° values represent in thermodynamics?

<p>The free-energy change upon formation from standard states (C)</p> Signup and view all the answers

In the equation ΔG° = ΔH° - TΔS°, which factor influences Gibbs free energy by accounting for disorder?

<p>ΔS° (B)</p> Signup and view all the answers

What is the value of ΔG when calculated using the equation ΔG = ΔG° + RT ln Q?

<p>-49.5 kJ/mol (D)</p> Signup and view all the answers

What does a negative ΔG value indicate about the reaction's spontaneity?

<p>The reaction is spontaneous in the forward direction. (D)</p> Signup and view all the answers

Calculate the exponent in the equation for equilibrium constant K when ΔG° is -32.8 kJ.

<p>13.24 (C)</p> Signup and view all the answers

What is the expression for the equilibrium constant (K) at 298 K based on ΔG°?

<p>K = e^(ΔG° / RT) (A)</p> Signup and view all the answers

Given the calculated ΔG° for the Haber process, what is the equilibrium constant K?

<p>5.6 x 105 (D)</p> Signup and view all the answers

Which components are necessary to calculate Qp for a reaction involving pressures?

<p>The equilibrium pressures of both reactants and products (C)</p> Signup and view all the answers

What does the term Q represent in the reaction's context?

<p>The reaction quotient (B)</p> Signup and view all the answers

At which temperature was ΔG calculated in the given example?

<p>365 K (A)</p> Signup and view all the answers

Flashcards

Entropy (S)

A measure of disorder or randomness in a system.

ΔS > 0

Entropy increases in a chemical process.

ΔS < 0

Entropy decreases in a chemical process.

Solid to liquid phase change

Entropy increases. A solid becomes less ordered in liquid form.

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Liquid to gas phase change

Entropy increases. Particles become much more disordered in the gas phase.

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Increase in temperature

Entropy increases. Increased kinetic energy means more ways the particles can move.

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Microstates

Energetically equivalent ways to arrange components in a system

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Boltzmann constant (k)

A constant that relates entropy (S) to the number of microstates (W).

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Calculating W

W = X^n, where X is the number of locations, and n is the number of particles.

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Most Probable Macrostate

The macrostate with the largest number of microstates.

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Two particles, four locations

Example: 4 possible locations for 2 particles.

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16 microstates (2 particles, 4 locations)

Calculation of possible arrangements when the divider is removed.

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Macrostates Example

Different arrangements like particles together or separate.

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Standard Gibbs Free Energy of Formation (ΔG°f)

The change in Gibbs free energy when one mole of a compound is formed from its elements in their standard states at 298 K and 1 atm.

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Gibbs Free Energy Change (ΔG°rxn)

The change in Gibbs free energy during a chemical reaction under standard conditions (298 K and 1 atm).

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Calculating ΔG°rxn

We can calculate the Gibbs free energy change of a reaction by subtracting the sum of the standard Gibbs free energy of formation values of the reactants from the sum of the standard Gibbs free energy of formation values of the products, multiplied by their respective stoichiometric coefficients.

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Spontaneous Reaction

A reaction that occurs without external energy input and proceeds in the direction of decreasing Gibbs free energy (ΔG < 0).

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Gibbs Free Energy at Non-Standard Temperatures

We can calculate Gibbs free energy at temperatures other than 298 K using the equation: ΔG = ΔH° – TΔS°, where ΔH° and ΔS° are standard enthalpy and entropy changes.

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Gibbs Free Energy Change

The maximum amount of useful work (non-expansion work) a system can perform at constant temperature and pressure.

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Non-Standard Conditions

Conditions in a reaction where the reactants and products are not at their standard state (1 atm pressure, 298 K). This affects the Gibbs Free Energy change.

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Reaction Quotient (Q)

A measure of the relative amount of reactants and products at a given time during a reaction. It helps predict the direction of the reaction to reach equilibrium.

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Equation for Non-standard Gibbs Free Energy Change

ΔG = ΔG° + RT ln Q

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Gibbs Free Energy (G)

A thermodynamic potential that measures the amount of useful work obtainable from a thermodynamic system at a constant temperature and pressure.

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Standard Free Energy of Formation (DG°f)

The change in free energy that occurs when 1 mole of a compound is formed from its elements in their standard states.

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Standard Free Energy Change (DG°rxn)

The change in free energy that occurs during a chemical reaction under standard conditions.

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How to calculate DG°rxn

DG°rxn = å m[DG°f (products)] - å n[DG°f (reactants)]

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Non-Spontaneous Reaction

A reaction that requires external energy input to occur and absorbs free energy.

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What does DG°rxn tell us about a reaction?

A negative DG°rxn indicates a spontaneous reaction and a positive DG°rxn indicates a non-spontaneous reaction.

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Example: Combustion of propane (C3H8)

The combustion of propane is a spontaneous reaction with a negative DG°rxn because it releases energy.

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Standard Gibbs Free Energy Change (ΔG°)

The Gibbs free energy change of a reaction under standard conditions (298 K and 1 atm pressure).

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Equilibrium Constant (K)

A constant that describes the ratio of products to reactants at equilibrium.

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Relationship between ΔG and K

ΔG = -RT ln K (where R is the gas constant and T is the temperature in Kelvin).

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Equilibrium

A state where the rates of the forward and reverse reactions are equal, and the net change in concentrations is zero.

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Study Notes

Chemical Thermodynamics

  • The study of energy changes in chemical and physical processes
  • Entropy (S) measures disorder or randomness in a system
  • Entropy increases when there's a phase change from condensed to less condensed (solid → liquid → gas)
  • Entropy increases with more temperature or higher kinetic energy in a given phase
  • Entropy increases with more particles or dissolution in an aqueous solution, allowing for more energy distribution.
  • Entropy changes (ΔS) are positive for processes that increase disorder and negative for processes that decrease disorder.
  • The third law of thermodynamics states that the entropy of a perfectly ordered, crystalline substance at absolute zero is zero (Scrystal (0 K) = 0)
  • Boltzmann's equation defines entropy mathematically: S = k ln W
  • Microstates are energetically equivalent arrangements (microstates) possible for a system.
  • The more microstates, the higher the entropy.
  • The most probable macrostate is the one with the highest number of microstates.
  • A system will spontaneously move to a more disordered arrangement
  • The spontaneity of a process depends on both the system and surroundings
  • The Second Law of Thermodynamics: Spontaneous processes always cause an overall increase in entropy (S) of the universe
  • Standard Molar Entropies (S°) are calculated by the third law of thermodynamics.
  • Standard changes in entropy (∆Sorxn) are calculated by using the standard molar entropies of the reactants and products. ∆S°rxn = Σm[S°(products)]-Σn[S°(reactants)]
  • Gibbs Free Energy (G) is a state function for predicting process spontaneity at a given temperature. (G = H – TS)
  • The change in Gibbs free energy under standard conditions: ΔG° = ΔH° – TΔS°
  • ΔG° > 0: reaction is non-spontaneous forward.
  • ΔG° < 0: reaction is spontaneous forward.
  • ΔG° = 0: reaction is at equilibrium.
  • Standard free energy of formation (ΔG°f) is the change in free energy when one mole of a compound is formed from its elements in their standard states
  • ΔGrxn=Σm[ΔGf(products)] -Σn[ΔGf(reactants)]
  • Temperature dependence of free energy change: ∆G = ∆G° + RT ln Q where Q is the reaction quotient and R is the gas constant.
  • The standard change in free energy can be used to calculate the equilibrium constant. ∆G° = −RT ln K, where K is the equilibrium constant.

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