Consider the following generic reaction: C(g)+A(g) →B(g) At standard conditions, the forward rea

step 1 So the Gibbs free energy is known as delta G. And so the system is in equilibrium if delta G is

Consider the following generic reaction: C(g)+A(g) →B(g) At...

Consider the following generic reaction: $$ \mathrm{C}(\mathrm{g})+\mathrm{A}(\mathrm{g}) \rightarrow \mathrm{B}(\mathrm{g}) $$ At standard conditions, the forward reaction is spontaneous. Which of the following relationships is/are false regarding this reaction at standard conditions? a. $\Delta G<0$ d. $\Delta H^{\circ}<0$ b. $\Delta G^{\circ}<0$ e. $\Delta S^{\circ}<0$ c. $K<1$

Consider the following generic reaction:
$$ \mathrm{C}(\mathrm{g})+\mathrm{A}(\mathrm{g}) \rightarrow \mathrm{B}(\mathrm{g}) $$
At standard conditions, the forward reaction is spontaneous. Which of the following relationships is/are false regarding this reaction at standard conditions?
a. $\Delta G<0$
d. $\Delta H^{\circ}<0$
b. $\Delta G^{\circ}<0$
e. $\Delta S^{\circ}<0$
c. $K<1$

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Key Concepts

Gibbs Free Energy and Spontaneity

Gibbs free energy (?G) is a key thermodynamic quantity that indicates the spontaneity of a process at constant temperature and pressure. For a reaction to be spontaneous, ?G must be negative, meaning the process can occur without external input of work.

Standard Gibbs Free Energy and Equilibrium Constant Relationship

The standard Gibbs free energy change (?G°) is connected to the equilibrium constant (K) through the equation ?G° = -RT ln K, where R is the gas constant and T is the temperature. A negative ?G° corresponds to K being greater than one, indicating that the reaction favors the formation of products at equilibrium.

Contributions of Enthalpy and Entropy to Spontaneity

The relationship ?G = ?H - T?S shows that both the change in enthalpy (?H) and the change in entropy (?S) affect the spontaneity of a reaction. Even if ?S (the entropy change) is negative, the reaction can be spontaneous so long as the enthalpy change (?H) is sufficiently negative to overcome the unfavorable entropy term.

Entropy Changes in Gas Phase Reactions

In reactions involving gases, changes in the number of gas molecules can significantly impact the entropy change (?S). When a reaction results in fewer gas molecules, the entropy typically decreases, reflecting a reduction in the system's disorder.

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