Consider the reaction $\mathrm{A}\rightleftharpoons \mathrm{B}$ at $1000\mathrm{K}$. At time ${\mathrm{t}}^{\text{'}}$, the temperature of the system was increased to $2000\mathrm{K}$ and the system was allowed to reach equilibrium. Throughout this experiment the partial pressure of $\mathrm{A}$ was maintained at $1$ bar. Given below is the plot of the partial pressure of $\mathrm{B}$ with time. What is the ratio of the standard Gibbs energy of the reaction at $1000\mathrm{K}$ to that at $2000\mathrm{K}$?

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.