Consider the following reversible reaction: A(g) + B(g) ⇌ AB(g) The...

Consider the following reversible reaction:
$A\left(g\right) + B\left(g\right) ⇌ AB\left(g\right)$
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 $∆ {G}^{⊝} ( inJ{mol}^{- 1} )$ for the reaction at $300K$ is ____.
(Given; $\ln \left(2\right) = 0 .7 , = 2500J{mol}^{- 1}at300K$ and $G$ is the Gibbs energy)