During an adiabatic bomb calorimeter experiment, naphthalene was burned, the following data were obtained $($where $\frac{\frac{?}{?}}{?}$ Delta $U$ is the heat of combustion$)$:

Mass of naphthalene $=0\mathrm{.}8216+-0\mathrm{.}0005g$

Mass of wire $=0\mathrm{.}0132+-0\mathrm{.}0005g$

$T=1\mathrm{.}431+-0\mathrm{.}005K$

$U_{\text{n}\text{a}\text{p}}=-26,410+-10\frac{J}{g}$

$U_{\text{w}\text{i}\text{r}\text{e}}=-6,680+-10\frac{J}{g}$

The total energy released from burning the naphthalene and the wire $($which holds naphthalene in place in the calorimeter$)$ is given by

$U_{\text{t}\text{o}\text{t}}=m_{\text{n}\text{a}\text{p}}{U}_{\text{n}\text{a}\text{p}}+m_{\text{w}\text{i}\text{r}\text{e}}{U}_{\text{w}\text{i}\text{r}\text{e}}$

$($a$)$ Determine $U_{\text{t}\text{o}\text{t}}$

$($b$)$ What is the error in $U_{\text{t}\text{o}\text{t}}?$

$($c$)$ Report $U_{\text{T}\text{o}\text{t}\text{a}\text{l}}+-$ Uncertainty