Consider the following reversible reaction: A   g + B   g ⇌ AB   g The activation…

Consider the following reversible reaction:
A g+B gAB g
The activation energy of the backward reaction exceeds that of the forward reaction by 2RT (in  mol-1). If the pre-exponential factor of the forward reaction is 4 times that of the reverse reaction, the absolute value of G  (in J mol-1) for the reaction at 300 K is ____.
(Given; ln2= 0.7,  = 2500 J mol-1 at 300 K and G is the Gibbs energy)

Solution

A g+B gAB g
Eab-Eef=2RT H=-2RT andAfAb=4
Keq=KfKb=Af e-Eaf/RTAbe-Eab/RT=4e2
Go=-RTlnK=-2500×ln4×e2=-8500J/mol
   Absolute value of Go-8500 J/mol

Asked in: JEE Advanced 2018 (Paper 2)

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