Standard entropy of X2,Y2 and XY3 are 60,40 and 50JK−1mol−1, respectively. For the reaction, 12X2+32Y2→XY3.ΔH=−30kJ to be at equilirbium, the temperature will be:
A
1250K
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B
500K
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C
750K
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D
1000K
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Solution
The correct option is C750K Solution:- (C) 750K
12X2+32Y2⟶XY3ΔH=−30kJ
For the above reaction-
ΔS=∑ΔS(Product)−∑ΔS(reactant)
ΔS=50−(12×60+32×40)
⇒ΔH=50−90=−40
As we know that,
ΔG=ΔH−TΔS
But at equilibrium,
ΔG=0
ΔH−TΔS=0
⇒T=ΔHΔS
Given:- ΔH=−30kJ=−30000J
∴T=−30000−40=750K
Hence the temperature of the given reaction is 750K.