Consider the following reversible reaction, $AgBg\to ABg$ . The activation energy of the backward reaction exceeds that of the forward reaction by 2$\left(\in Jmo{l}^1\right)$. If the pre-exponential factor of the forward reaction is 4 times that of the reverse reaction, the absolute value of$△G^{\theta }\left(\in Jmo{l}^{?1}\right)$ for the reaction at 300 K is ____. (Given, ln(2) = $0.7,=2500Jmo{l}^{?1}$ at 300 K and G is the Gibbs energy)

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