The standard free energy change \( (\Delta G^\circ) \) for \( 50\% \) dissociation of \( \mathrm{N_2O_4} \) into \( \mathrm{NO_2} \) at \( 27^\circ \text{C} \) and \( 1 \, \text{atm} \) pressure is \( -x \, \text{J mol}^{-1} \). The value of \( x \) is __________.(Nearest Integer)
[Given : \( R = 8.31 \, \text{J K}^{-1} \text{mol}^{-1} \) , \( \log 1.33 = 0.1239 \) \( \ln 10 = 2.3 \)]
