Verified Solution • 2025–26 Session moderate

QJEEM21Ch1236: JEE Main 2021 Chemistry - Class 11 JEEM21Ch1236 Solution: For a chemical reaction A + B ⇌ C + D ( = 80 kJ mol 1 ) the…

For a chemical reaction A + B ⇌ C + D

( ΔrHΘ{\Delta _r}{H^\Theta } = 80 kJ mol −- 1) the entropy change ΔrSΘ{\Delta _r}{S^\Theta } depends on the temperature T (in K) as ΔrSΘ{\Delta _r}{S^\Theta } = 2T (J K −- 1mol −- 1).

Minimum temperature at which it will become spontaneous is ___________ K. (Integer)

Step-by-Step Verified Solution

We know, ΔG∘=ΔH∘−TΔS∘\Delta G^\circ = \Delta H^\circ - T\Delta S^\circ

For a reaction to be spontaneous
\Delta G^\circ < 0

⇒\Rightarrow \Delta H^\circ - T\Delta S^\circ < 0

⇒\Rightarrow T > {{\Delta H^\circ } \over {\Delta S^\circ }}

⇒\Rightarrow T > {{80000} \over {2T}}

⇒\Rightarrow 2T2 > 80000

⇒\Rightarrow T2 > 40000

⇒\Rightarrow T > 200

The minimum temperature to make it spontaneous is 200 K.

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