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JEE PYQ: Thermodynamics Question 32

Question 32 - 2019 (10 Jan Shift 1)

A process has $\Delta H = 200$ J mol$^{-1}$ and $\Delta S = 40$ JK$^{-1}$mol$^{-1}$. Out of the values given below, choose the minimum temperature above which the process will be spontaneous:

(1) 20 K

(2) 12 K

(3) 5 K

(4) 4 K

Show Answer

Answer: (3)

Solution

For spontaneous reaction, $\Delta G < 0$. $\Delta H - T\Delta S < 0$. $\dfrac{\Delta H}{\Delta S} < T$: $\dfrac{200}{40} < T$. $5 < T$. So, minimum temperature is 5 K.


Learning Progress: Step 32 of 40 in this series