For complete combustion of ethene, \( \mathrm{C_2H_4(g)} + \mathrm{3O_2(g)} \longrightarrow \mathrm{2CO_2(g)} + \mathrm{2H_2O(l)} \) the amount of heat produced as measured in bomb calorimeter is \( 1406 \, \mathrm{kJ\, mol^{-1}} \) at \( 300 \, \mathrm{K} \). The minimum value of \( \mathrm{T\Delta S} \) needed to reach equilibrium is (–) ________ \( \mathrm{kJ} \) (Nearest integer)
Given: \( R = 8.3 \, \mathrm{J\,K^{-1}\,mol^{-1}} \)