For complete combustion of ethene. $\mathrm{C}_2 \mathrm{H}_4(\mathrm{~g})+3 \mathrm{O}_2(\mathrm{~g}) 2 \mathrm{CO}_2(\mathrm{~g})+2 \mathrm{H}_2 \mathrm{O}(\mathrm{l})$ the amount of heat produced as measured in bomb calorimeter is $1406 \mathrm{~kJ} \mathrm{~mol}^{-1}$ at 300 K . The minimum value of TS needed to reach equilibrium is (-) $\_\_\_\_$ kJ. (Nearest integer) Given: $\mathrm{R}=8.3 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}$