Mothballs are composed primarily of the hydrocarbon naphthalene $($C$10$H$8).$ When $1\mathrm{.}034$ g of naphthalene burns in a bomb calorimeter, the temperature rises from $25\mathrm{.}269$C to $30\mathrm{.}181$C$.$

Part A

Find $\backslash$Delta rU for the combustion of naphthalene. The heat capacity of the calorimeter, determined in separate experiment, is $5\mathrm{.}112$ kJ$$C$1.$

Part B

Find $\backslash$Delta rH for the combustion of naphthalene at $298$ K$.$

Express your answer using four significant figures.