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Q. For independent processes at $300\, K$
Process $\Delta H / kJ mol ^{-1}$ $\Delta S / JK ^{-1}$
A -25 -80
B -22 40
C 25 -50
D 22 20
The number of non-spontaneous processes from the following is

JEE MainJEE Main 2023

Solution:

$ \Delta G =\Delta H - T \Delta S$
$A : \Delta G \left( J mol ^{-1}\right)=-25 \times 10^3+80 \times 300:- ve $
$ B : \Delta G \left( J mol ^{-1}\right)=-22 \times 10^3-40 \times 300:- ve$
$ C : \Delta G \left( J mol ^{-1}\right)=25 \times 10^3+300 \times 50:+ ve$
$ D : \Delta G \left( J mol ^{-1}\right)=22 \times 10^3-20 \times 300:+ ve$
Processes $C$ and $D$ are non-spontaneous.