Chapter 8.6, Problem 8.9P

The explosion of 2.00 mol of solid trinitrotoluene (TNT; C₇H₅N₃O₆) with a volume of approximately 274 mL produces gases with a volume of 448 L at room temperature and 1.0 atm pressure. How much PV work in kilojoules is done during the explosion?

$2{\text{C}}_7{\text{H}}_5{\text{N}}_3{\text{O}}_6(s)\stackrel{}{\to }12\text{CO}(g)+5{\text{H}}_2(g)+3{\text{N}}_2(g)+2\text{C}(s)$