Chapter 10, Problem 10.145MP

An empty 4.00-Lsteel vesselis filled with 1.00 atm of CH₄(g)and 4.00 atm of O₂(g) at 300 °C. A spark causes the $C{H}_4$ to burn completely, according to the equation $C{H}_4+2O_2\left(g\right)\to C{O}_2\left(g\right)+2H_{2}O\left(g\right)$ $\Delta H°=-80\text{2 kJ}$
(a) What mass of $C{O}_2\left(g\right)$ is produced in the reaction?
(b) What is the final temperature inside the vessel after combustion, assuming that the steel vessel has a mass of 14.500 kg, the mixture of gases has an average molar heat capacity of $\text{21 J/}\left(\text{mol}\cdot °\text{C}\right)\text{,}$ and the heat capacity of steel is $\text{0}\text{.449 J/}\left(\text{g}\cdot °\text{C}\right)$ ?
(c) What is the partial pressure of ${\text{CO}}_{\text{2}}\left(\text{g}\right)$ in the vessel after combustion?