Toluene, \(\mathrm{C}_{7} \mathrm{H}_{8}\), is used in the manufacture of
explosives such as TNT (trinitrotoluene). A \(1.500 \mathrm{~g}\) sample of
liquid toluene was placed in a bomb calorimeter along with excess oxygen. When
the combustion of the toluene was initiated, the temperature of the
calorimeter rose from \(25.000^{\circ} \mathrm{C}\) to \(26.413^{\circ}
\mathrm{C}\). The products of the combustion were \(\mathrm{CO}_{2}(g)\) and
\(\mathrm{H}_{2} \mathrm{O}(l),\) and the heat capacity of the calorimeter was
\(45.06 \mathrm{~kJ}^{\circ} \mathrm{C}^{-1}\)
(a) Write the balanced chemical equation for the reaction in the calorimeter.
(b) How many joules were liberated by the reaction?
(c) How many joules would be liberated under similar conditions if 1.000 mol
of toluene was burned?