To analyze the Gibbs free energy (
G) vs extent of reaction graph, consider the following:
A spontaneous reaction occurs where
G decreases, until the reaction reaches equilibrium. At equilibrium,
G is minimized, and any deviation will increase it.
Let's evaluate each statement:
- Statement A: "Reaction is spontaneous at (a) and (b)."
- At point (a), G is decreasing, so the reaction is spontaneous.
- Near equilibrium at point (b), the change in G is zero. This makes the reaction neither spontaneous nor non-spontaneous.
- This statement is false. - Statement B: "Reaction is at equilibrium at point (b) and nonspontaneous at point (c)."
- At point (b), G is at a minimum, indicating equilibrium.
- At point (c), G is increasing, indicating a nonspontaneous reaction.
- This statement is true. - Statement C: "Reaction is spontaneous at (a) and nonspontaneous at (c)."
- Correct as explained in A and B: G is decreasing at (a) and increasing at (c).
- This statement is true. - Statement D: "Reaction is non-spontaneous at (a) and (b)."
- Incorrect as discussed: (a) is spontaneous, and (b) is equilibrium.
- This statement is false.
The number of true statements is 2, which fits the given range (2,2).