Final answer:
The heat of combustion of one mole of naphthalene is 591 kJ/mol.
Step-by-step explanation:
To calculate the heat of combustion of one mole of naphthalene, we first need to calculate the heat released by the combustion of the given mass of naphthalene. We can use the formula q = mcΔT, where q is the heat released, m is the mass of the naphthalene, c is the heat capacity of the calorimeter and its surroundings, and ΔT is the change in temperature. Substituting the given values into the equation, we have:
q = 1.44 g * 10.17 kJ/°C * (30.70°C - 25.00°C)
q = 1.44 g * 10.17 kJ/°C * 5.7°C
q = 82.9728 kJ
Now, to calculate the heat of combustion per mole of naphthalene, we will use the molar mass of naphthalene, which is 128.18 g/mol:
Heat of combustion per mole = 82.9728 kJ / 1.44 g * 128.18 g/mol
Heat of combustion per mole = 591 kJ/mol