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Question

Chemistry Question on Spontaneity

A certain reaction is non spontaneous at 298K. The entropy change during the reaction is 121 JK1.JK^{-1}. Is the reaction is endothermic or exothermic ? The minimum value of Δ\DeltaH for the reaction is

A

endothermic, ΔH=36.06KJ\Delta H=36.06 KJ

B

exothermic, ΔH=36.06KJ\Delta H=-36.06 KJ

C

endothermic, ΔH=60.12KJ\Delta H=60.12KJ

D

exothermic, ΔH=60.12KJ\Delta H=-60.12KJ

Answer

endothermic, ΔH=36.06KJ\Delta H=36.06 KJ

Explanation

Solution

For non spontaneous reaction
ΔG=+Ve\Delta G=+Ve
ΔG=ΔHTΔSand\Delta G=\Delta H-T \Delta S and
ΔS=121JK1\Delta S=121 JK^{-1}
ForΔG=+VeFor\, \Delta G=+Ve
ΔH\Delta H has to be positive. Hence the reaction is endothermic.
The minimum value of ΔH\Delta H can be obtained by putting Δ\DeltaG = 0
ΔH=TΔS=298×121J\Delta H=T\Delta S=298\times121J
= 36.06 kJ