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Question

Which of the following graphs correctly represents the temperature dependence of equilibrium constant K, for an
endothermic reaction?

A
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B
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C
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D
none of these
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Solution

The correct option is B
we know, Go=RT lnK
(K= equilibrium constant) and
Go=HoTSo, so
RT lnK=HoTSo
or
lnK=HoRT+SoR -(eq.1)
The above equation relates equilibrium constant with temperature, on plotting (ln K) versus (1T) slope m is m=HoRT
for endothermic reaction Ho=+ive slope is negative, hence option (b) is correct

Note: When we differentiate the (eq.1) equation with respect to T, we get van't Hoff equation:
d lnKdT=HoRT2



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