What is the work associated with decomposition of trinitrotoluene $($TNT$)$ upon detonation according to the following reaction at $283\mathrm{.}95$ K $?$

C$7$H$5$N$3$O$6($s$)3/2$N$2($g$)+5/2$H$2($g$)+3$O$2($g$)+7$C$($s$)$

Express your answer using four significant figures.