CH6N2 is used as liquid rocket fuel. The combustion of methylhydrazine with oxygen produces N2, CO2, and H2O:
2CH6N2 (l) + 5O2(g) --> 2N2(g) + 2CO2(g) +6H2O (l)
When 4.00 g of methylhydrazine is combusted in a bomb calorimeter, the temperature of the calorimeter increases from 25 C to 39.5 C. The heat capacity of the calorimeter is measured to be 7.794 kJ/C. Calculate the heat of reaction for the combustion of a mole of CH6N2.