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.</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</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</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</p> Signup and view all the answers

    What is meant by microstates in relation to entropy?

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

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

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

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

    <p>W</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</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</p> Signup and view all the answers

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

    <p>16</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</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.</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</p> Signup and view all the answers

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

    <p>6</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</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.</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.</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</p> Signup and view all the answers

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

    <p>620 K</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</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</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</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.</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</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)</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</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)]</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</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</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°</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</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.</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</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)</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</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</p> Signup and view all the answers

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

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

    At which temperature was ΔG calculated in the given example?

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

    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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    Description

    Test your understanding of chemical thermodynamics and the concept of entropy. This quiz covers topics such as energy changes, the behavior of entropy in different states, and the implications of the third law of thermodynamics. Challenge yourself with questions about Boltzmann's equation and microstates.

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