For complete combustion of ethene, C_2 H_4( g )+3 O_2( g ) → 2 CO_2( g )+2 H_2 O ( l ) the amount of heat produced as measured in bomb calorimeter is…

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