Thermodynamics Chapter Quiz

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Questions and Answers

What is the equation used to calculate the change in Gibbs Free Energy for a spontaneous process?

  • ΔG = ΔH + TΔS
  • ΔG = TΔS - ΔH
  • ΔG = ΔH - TΔS (correct)
  • ΔG = ΔS + TΔH

According to the third law of thermodynamics, what is the entropy value of a perfect crystalline substance at absolute zero?

  • Infinite
  • k J K
  • 0 J K (correct)
  • 1 J K

At what temperature does the inequality ΔSuniverse > 0 hold for the reaction involving NH4Cl(s) if ΔHrxn is -176.8 kJ/mol and ΔSsys is -285.44 J/K·mol?

  • 200 K
  • 619 K (correct)
  • 285 K
  • 176.8 K

What is the change in entropy for the system when converting Br2(l) to Br2(g)?

<p>92.8 J K–1 mol–1 (D)</p> Signup and view all the answers

Which of the following contributes to the spontaneity of a process according to the second law of thermodynamics?

<p>The sum of the changes in entropy of the system and surroundings (A)</p> Signup and view all the answers

What happens during an exothermic reaction?

<p>Energy is released to the surroundings. (D)</p> Signup and view all the answers

What does the equation ΔU = q + w represent?

<p>The heat and work associated with a system. (B)</p> Signup and view all the answers

Which statement is true regarding standard enthalpy of formation (ΔH°f)?

<p>ΔH°f refers to heat change from elements in their standard states. (D)</p> Signup and view all the answers

What is the main criterion for a process to be classified as spontaneous?

<p>It occurs under specific conditions. (A)</p> Signup and view all the answers

Which of the following describes a non-spontaneous process?

<p>A process that does not occur under specific conditions. (B)</p> Signup and view all the answers

Under constant pressure, how is enthalpy change (ΔH) related to heat (q)?

<p>ΔH is always equal to q. (A)</p> Signup and view all the answers

What represents the first law of thermodynamics?

<p>The total energy of the universe is constant. (C)</p> Signup and view all the answers

Which condition typically leads to a positive Gibbs free energy (G)?

<p>The reaction is endothermic. (D)</p> Signup and view all the answers

What does a large magnitude of $ΔG°$ indicate about the position of equilibrium?

<p>Equilibrium significantly favors either the reactant or product side. (A)</p> Signup and view all the answers

What does $ΔG$ represent at any point on a free energy diagram?

<p>The slope indicating the direction toward equilibrium. (B)</p> Signup and view all the answers

How can a reaction approach equilibrium according to the free energy diagram?

<p>From either the reactants or products side. (A)</p> Signup and view all the answers

Which statement accurately describes the lowest point on a free energy diagram?

<p>It indicates the position of equilibrium. (D)</p> Signup and view all the answers

Which of the following contributes to a higher standard entropy S°?

<p>Diatomic gas molecules (A), More complex molecular structures (D)</p> Signup and view all the answers

What is the relationship between free energy changes and temperature?

<p>Free energy can change with temperature, affecting the reaction. (D)</p> Signup and view all the answers

What is the relationship between diamond and graphite in terms of standard entropy S°?

<p>Diamond has lower S° because of its 3D structure (B)</p> Signup and view all the answers

Which species would most likely have the highest standard entropy S°?

<p>Carbon dioxide gas (B), Ozone gas (D)</p> Signup and view all the answers

How does the entropy of an aqueous solution compare to that of a pure solid?

<p>S°aqueous &gt; S°pure solid (B)</p> Signup and view all the answers

In which of the following conditions would the entropy of the universe ΔSuniverse decrease?

<p>An equilibrium process (D)</p> Signup and view all the answers

What happens to the system's entropy when smaller hydrated ions are present?

<p>The solute entropy dominates, resulting in S°system &gt; 0 (B)</p> Signup and view all the answers

Which of the following scenarios results in an increase in entropy?

<p>Liquid nitrogen evaporates (B), A solid dissolves in water (D)</p> Signup and view all the answers

Which factor does NOT contribute to greater standard entropy S° in a gas?

<p>Fewer moles of gas (D)</p> Signup and view all the answers

What is the sign of ΔSsystem when liquid water freezes below 0°C?

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

How does the surroundings' entropy change when water freezes below 0°C?

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

What can be inferred about the spontaneity of a reaction with a positive ΔSuniverse?

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

What happens to ΔSsurr if the temperature is above 0°C during an endothermic process?

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

What is the relationship between ΔSsurr and temperature for spontaneous reactions?

<p>ΔSsurr is inversely proportional to T. (A)</p> Signup and view all the answers

In the synthesis of ammonia, what was the calculated value for ΔSsys?

<p>-198.5 J K–1 mol–1 (A)</p> Signup and view all the answers

What is the calculated value of ΔSuniverse for the reaction H2O2(l) → H2O2(g) at 163°C?

<p>5.3 J K–1 mol–1 (D)</p> Signup and view all the answers

At what condition is the reaction NH3(g) + HCl(g) → NH4Cl(s) no longer spontaneous?

<p>At high temperatures (A)</p> Signup and view all the answers

What is the calculated value of the entropy S for Fe(OH)3(s)?

<p>107.9 J K⁻¹ mol⁻¹ (D)</p> Signup and view all the answers

Which of the following correctly describes standard state conditions for gases?

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

What is ΔH for the reaction calculated in the solution?

<p>-1582.2 kJ (C)</p> Signup and view all the answers

What value does ΔG°f equal for elements in their standard states?

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

What is the formula used to calculate ΔG° from the reaction components?

<p>ΔG° = ΔH° - TΔS° (D)</p> Signup and view all the answers

At what temperature is ΔG being approximately estimated in the given equations?

<p>298 K (A)</p> Signup and view all the answers

What unit is used to express entropy, S?

<p>J/K mol (C)</p> Signup and view all the answers

Which of the following conditions is required to compute ΔG from ΔG°?

<p>Knowledge of temperature and reaction direction (C)</p> Signup and view all the answers

Flashcards

Spontaneous process

A process that happens naturally under a specific set of conditions.

Non-spontaneous process

A process that does not happen naturally under a specific set of conditions. It would require external intervention.

Entropy (S)

A measure of the disorder or randomness of a system. Higher entropy means greater disorder.

Gibbs free energy (G)

A thermodynamic state function that combines enthalpy (H) and entropy (S) to predict the spontaneity of a process. It is a measure of the maximum useful energy that can be obtained from a system.

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Thermodynamics

The study of how different forms of energy are interconverted. It deals with the relationships between heat, work, temperature, and energy in physical and chemical processes.

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Enthalpy (H)

A thermodynamic state function that describes the total energy of a system. It includes the internal energy of the system and the energy associated with the system's pressure and volume.

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Standard enthalpy of formation (ΔH°f)

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

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Standard enthalpy of reaction (ΔH°rxn)

The energy change that occurs during a chemical reaction under standard conditions (1 atm and 298 K).

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Entropy of the universe (ΔS_universe)

The change in entropy of the universe for a process. It is the sum of the change in entropy of the system and the change in entropy of the surroundings.

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Entropy of the system (ΔS_system)

The change in entropy of the system, which is typically a chemical reaction or a physical process.

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Entropy of the surroundings (ΔS_surroundings)

The change in entropy of the surroundings, usually due to heat transfer between the system and the surroundings.

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Calculating ΔS_surroundings

The change in entropy of the surroundings can be calculated by relating it to the enthalpy change of the system (ΔH) and the temperature (T).

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Third Law of Thermodynamics

The entropy of a perfect crystalline substance at absolute zero (0 Kelvin) is zero.

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Entropy change of the surroundings (ΔSsurroundings)

A change in entropy of the surroundings, calculated using the enthalpy change of the system and the temperature.

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Entropy change for exothermic processes

The entropy change of the surroundings is positive for exothermic processes, meaning the surroundings become more disordered as heat is released.

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Entropy change for endothermic processes

The entropy change of the surroundings is negative for endothermic processes, meaning the surroundings become more ordered as heat is absorbed.

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Temperature and entropy change of the surroundings

The entropy change of the surroundings is inversely proportional to temperature. This means that at higher temperatures, the change in entropy of the surroundings is smaller.

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Entropy change of the universe (ΔSuniverse)

The entropy change of the universe (ΔSuniverse) is the sum of the entropy changes of the system (ΔSsystem) and the surroundings (ΔSsurroundings).

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Spontaneity and entropy change of the universe

A reaction is spontaneous if the entropy change of the universe is positive (ΔSuniverse > 0).

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Gibbs free energy change (ΔG)

The Gibbs free energy change (ΔG) is a thermodynamic quantity that can be used to predict the spontaneity of a reaction. It is related to the enthalpy change (ΔH), the entropy change (ΔS), and the temperature (T) by the equation ΔG = ΔH - TΔS.

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Spontaneity and Gibbs free energy

The spontaneity of a reaction can be determined by looking at the Gibbs free energy change (ΔG). If ΔG is negative, the reaction is spontaneous. If ΔG is positive, the reaction is non-spontaneous. If ΔG is zero, the reaction is at equilibrium.

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Standard Entropy (S°)

The entropy of a substance in its standard state (298 K and 1 atm).

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Entropy and Complexity

More complex structures have greater entropy because there are more ways for molecules to move and arrange themselves. For example, a molecule with more atoms and more bonds has greater entropy.

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Allotropes and Entropy

The more ordered form of a substance has lower entropy. For example, diamond is a very ordered structure, while graphite is less ordered.

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Entropy: Liquid vs. Solid

The entropy of a liquid is greater than that of a solid because molecules in a liquid are more mobile and have more degrees of freedom.

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Entropy: Gas vs. Liquid

The entropy of a gas is greater than that of a liquid because gas molecules are even more free to move and spread out.

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Entropy and Temperature

The entropy of a system increases when the temperature increases because molecules have more energy and move more freely.

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Second Law of Thermodynamics

The entropy of the universe always increases for spontaneous processes. Energy tends to disperse and become more spread out.

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Equilibrium on a Free Energy Diagram

The lowest point on a free energy diagram represents the point of equilibrium in a reaction, meaning the rates of the forward and reverse reactions are equal.

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ΔG and Spontaneity

The change in Gibbs free energy (ΔG) represents the slope of the free energy diagram at any point along the reaction coordinate. A negative ΔG indicates the reaction will proceed spontaneously to achieve equilibrium.

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ΔG° and Equilibrium Position

The standard Gibbs free energy change (ΔG°) determines the position of equilibrium, indicated by the equilibrium constant (K). A large negative ΔG° suggests the equilibrium lies heavily on the product side, while a large positive ΔG° implies the equilibrium favors reactants.

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Reaction Coordinate

The reaction coordinate represents the progress of a reaction from reactants to products, encompassing changes in molecular structure and energy. It's a theoretical measure of how far the reaction has proceeded.

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Free Energy Diagram

A free energy diagram is a visual representation of how the Gibbs free energy of a reaction system changes as it progresses along the reaction coordinate, from reactants to products. It helps understand the thermodynamic favorability and equilibrium position of the reaction.

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Standard free energy change (ΔG°)

The standard free energy change of a reaction (ΔG°) is the change in Gibbs free energy when a reaction is carried out under standard conditions.

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Standard free energy of formation (ΔG°f)

The standard free energy of formation (ΔG°f) is the change in Gibbs free energy when one mole of a compound is formed from its pure elements in their standard states.

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ΔG°f = 0 for elements in their standard states

It is the free energy change that occurs when one mole of the compound is formed from its constituent elements, each in their standard state. Therefore, ΔG°f = 0 for elements in their standard states.

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Calculating ΔG at different temperatures

The free energy change of a reaction at any temperature can be calculated from the standard free energy change and the standard entropy change.

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ΔG and ΔG° relation

The relationship between Gibbs free energy (ΔG) and standard free energy (ΔG°) is important for understanding the spontaneity of reactions.

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Predicting spontaneity

The change in Gibbs free energy of a reaction can be used to predict whether the reaction is spontaneous (exergonic), non-spontaneous (endergonic), or at equilibrium. For a spontaneous reaction, ΔG < 0.

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Calculating ΔG°rxn

The standard free energy change of a reaction can be calculated from the standard free energies of formation of the reactants and products.

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Importance of ΔG and ΔG°

ΔG° is helpful to understand the overall spontaneity of a reaction under standard conditions, but ΔG helps predict the spontaneity in actual reactions.

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Study Notes

Thermodynamics and Spontaneous Processes

  • Thermodynamics studies the interconversion of energy forms.
  • A system is the part of the universe of interest, and surroundings are everything else.
  • Exothermic reactions transfer energy from the system to the surroundings.
  • Endothermic reactions transfer energy from the surroundings to the system.
  • The first law of thermodynamics states energy cannot be created or destroyed, only transferred.

First Law of Thermodynamics

  • ∆U(universe) = 0
  • ∆U(system) = -∆U(surroundings)

Enthalpy and Enthalpy of Reaction

  • Enthalpy (H) = U + PV
  • Enthalpy of reaction (∆H) = ∆H(products) - ∆H(reactants).
  • ∆H > 0, endothermic reaction.
  • ∆H < 0, exothermic reaction.
  • Standard enthalpies of formation (∆H°f) represent the heat change when one mole of a compound is formed from its elements in their standard states.

Spontaneous Processes

  • Spontaneous processes occur under specific conditions.
  • Non-spontaneous processes do not occur under specific conditions.
  • Enthalpy(∆H) can predict spontaneity; ∆H < 0 (exothermic) = spontaneous, ∆H > 0 (endothermic) = not spontaneous.

Entropy

  • Entropy (S) is a measure of how spread out energy is or how dispersed a system's energy.
  • More dispersed energy = increased entropy.
  • Nature tends toward states with higher entropy.
  • ∆S > 0 (increased entropy) = favorable/spontaneous.
  • Entropy is a state function, hence AS = Sfinal - Sinitial.
  • Standard entropy(S°) is the absolute entropy of a substance at 1 atm and typically 25°C.
  • Gas phase entropy > liquid phase entropy > solid phase entropy for the same substance; more complex molecules have higher entropy.
  • S° increases with increasing temperature, more complex molecules, and larger number of particles.
  • Entropy for monatomic species increases with increasing atomic mass

Gibbs Free Energy

  • Gibbs Free Energy (G) is defined as G = H - TS.
  • ∆G < 0 (Gibbs Free Energy is negative) = spontaneous in the forward direction.
  • ∆G = 0 = system at equilibrium.
  • ∆G > 0 = NOT Spontaneous in the forward direction.
  • ∆G° is the standard free energy change at standard conditions , which is at 298K and 1atm.

Relationship between ∆G and Equilibrium

  • ∆G° = -RTlnK
  • K= equilibrium constant
  • R= ideal gas constant
  • T= temperature.
  • Q= reaction quotient
  • If Q < K or Q/K < 1 then ∆G < 0.
  • If Q > K or Q/K > 1 then ∆G > 0.
  • If Q = K then ∆G = 0.

Third Law of Thermodynamics

  • The entropy of a perfect crystalline substance at 0 K is zero

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