Answer
$-3.0\times10^{2}\,kJ/mol$
Work Step by Step
$\Delta _{r}G^{\circ}=-RT\ln K=-RT\ln K_{p}$
$=-(8.314\,Jmol^{-1}K^{-1})(298\,K)(\ln 4.2\times10^{52})$
$=-3.0\times10^{5}\,J/mol=-3.0\times10^{2}\,kJ/mol$
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