40% of HI undergoes decomposition to H₂ and I₂ at 300K. $\Delta G^{\Theta }$ for this decomposition reaction at one atmosphere pressure is_____________J mol^-1 (nearest integer)

(Use R = 8.31 JK^-1 mol^-1; log 2= 0.3010, In 10 = 2.3, log 3 = 0.477)

Kindly go through the solution 

$K=A.e^{-Ea/RT}=\left(6.5\times 10^2\right)e^{-26000K/T}$

$\frac{Ea}{8.314}=26000$

Ea = 216.164kJ/mol $\cong$ $$ 216

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