For a reaction, $A \rightleftharpoons P$, the plots of $[ A ]$ and $[ P ]$ with time at temperatures $T _1$ and $T _2$ are given below.
If $T _2> T _1$, the correct statement(s) is (are)
(Assume $\Delta H ^{\ominus}$ and $\Delta S ^{\ominus}$ are independent of temperature and ratio of $\ln K$ at $T _1$ to $\ln K$ at $T_2$ is greater than $T_2 / T_1$. Here $H, S, G$ and $K$ are enthalpy, entropy, Gibbs energy and equillibrium constant, respectively.)
$(A)$ $\Delta H ^{\ominus}<0, \Delta S ^{\ominus}<0$ $(B)$ $\Delta G ^{\ominus}<0, \Delta H ^{\ominus}>0$ $(C)$ $\Delta G ^{\ominus}<0, \Delta S ^{\ominus}<0$ $(D)$ $\Delta G ^{\ominus}<0, \Delta S ^{\ominus}>0$
