Chapter 6, Problem 6.57P

Nitroglycerine, ${\text{C}}_3{\text{H}}_5{(\text{N}{\text{O}}_3)}_3(\text{l}),$ a powerful explosive used in mining, detonates to produce a hot gaseous mixture of nitrogen, water, carbon dioxide, and oxygen.

(a) Write a balanced equation for this reaction using the smallest whole-number coefficients.

(b) If $\text{Δ}{\text{H}}_{rxn}^o=-2.29\times {10}^4\text{kJ}$ for the equation as written in part (a), calculate $\text{Δ}{\text{H}}_f^o$ of nitroglycerine.