JEE MAIN - Chemistry (2023 - 24th January Morning Shift - No. 14)
For independent process at 300 K
| Process | $$\mathrm{\Delta H/kJ~mol^{-1}}$$ | $$\mathrm{\Delta S/J~K^{-1}}$$ |
|---|---|---|
| A | $$-25$$ | $$-80$$ |
| B | $$-22$$ | 40 |
| C | 25 | $$-50$$ |
| D | 22 | 20 |
The number of non-spontaneous process from the following is __________
Answer
2
Explanation
$$
\begin{aligned}
& \Delta \mathrm{G}=\Delta \mathrm{H}-\mathrm{T} \Delta \mathrm{S} \\\\
& \mathrm{A}: \Delta \mathrm{G}\left(\mathrm{J} \mathrm{mol}^{-1}\right)=-25 \times 10^3+80 \times 300:-\mathrm{ve} \\\\
& \mathrm{B}: \Delta \mathrm{G}\left(\mathrm{J} \mathrm{mol}^{-1}\right)=-22 \times 10^3-40 \times 300:-\mathrm{ve} \\\\
& \mathrm{C}: \Delta \mathrm{G}\left(\mathrm{J} \mathrm{mol}^{-1}\right)=25 \times 10^3+300 \times 50:+\mathrm{ve} \\\\
& \mathrm{D}: \Delta \mathrm{G}\left(\mathrm{J} \mathrm{mol}^{-1}\right)=22 \times 10^3-20 \times 300:+\mathrm{ve}
\end{aligned}
$$
Processes $\mathrm{C}$ and $\mathrm{D}$ are non-spontaneous.
Processes $\mathrm{C}$ and $\mathrm{D}$ are non-spontaneous.
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