Question

When the same quantity of heat is absorbed by a system at two different temperatures $T_1$ and $T_2$, such that $T_1 > T_2$, change in entropies are $\Delta S_1$ and $\Delta S_2$ respectively. Then

• A. $\Delta S_1 < \Delta S_2$
• B. $\Delta S_1 = \Delta S_2$
• C. $S_1 > S_2$
• D. $\Delta S_2 < \Delta S_1$

Answer 1

Answer: (A)

In thermodynamics, we are concerned about entropy change due to the transfer of heat.

Which we can write in the form, $\Delta S = q / T$, here $q$ is constant.

So, $\Delta S \propto 1 / T$

We are given, $T _{1}> T _{2}$, so the actual relation between the entropies will be $\Delta S _{1}<\Delta S _{2}$