An ideal gas has temperature $T_{1}$ at the initial state $i$ shown in the $P-V$ diagram. The gas has a…
An ideal gas has temperature $T_{1}$ at the initial state $i$ shown in the $P-V$ diagram. The gas has a higher temperature $T_{2}$ at the final states $a$ and $b$, which it can reach the paths shown. The change in entropy:
greatest in $a$
greatest in $b$
same in $a$ and $b$
nothing can be said
Solution
$Q_{a}=\Delta U+0=\Delta U$ and $Q_{b}=\Delta U+P \Delta V$
As $Q_{b}>Q_{a}$
$\therefore$ Change in entropy is greater in case (b).
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