The mass of nitroglycerin is 1 g,
Molar mass of nitroglycerin is 227 g/mol
The number of moles = moles/molar mass
= 1 g / 227 g/mol
= 0.004405 mol
The equation for the bond enthalpy of the reaction is shown below, thus, the total enthalpy change in the reaction is as follows:
ΔHreaction = Number of moles (∑ΔHbond break - ∑ΔH bond forms)
= 0.004405 mol × -3564.5 kJ/mol
= -7.85 kJ