First slide

2nd Law of Thermodynaimcs

Question

Statement-I : For the same amount of heat absorbed reversibly and isothermally, the increase in randomness at low temperature is more than at higher temperature.
Statement-II : ${ΔS}_{system}$ for a spontaneous process is always positive.

Moderate

A

Both statements I and II are correct
B

Statement-I is correct and statement-II is incorrect
C

Statement-I is incorrect and statement-II is correct
D

Both statements I and II are incorrect

Solution

$\begin{array}{l} (I) ΔS = \frac{q_{rev}}{T} \\ let T_{1} < T_{2} \\ q_{rev} is a constant \\ {ΔS}_{1} \propto \frac{1}{T_{1}} and ∆ S_{2} \propto \frac{1}{T_{2}} \\ ∴ {ΔS}_{1} > {ΔS}_{2} \end{array}$
(B) For a spontaneous process, ${ΔS}_{tot} > 0$ always.
${ΔS}_{system}$ can be positie (or) negative.

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