$1.($a$)$ Construct a stoichiometric table in terms of partial pressures $($Pi$)$ for the gas phase decomposition of nitrosyl chloride $($NOCl$)$ to nitric oxide $($NO$)$ and chlorine $($Cl$2)$ in a constant$-$volume batch reactor based on the following initial conditions : PNOCl, $0=0\mathrm{.}5$ bar, PCl$2,0=0\mathrm{.}1$ bar, and $($inert$)$ PN$2,0=0\mathrm{.}4$ bar.$($b$)$ If the reaction proceeds to $50\%$ completion at a constant temperature, what is the total pressure $($P$)$ in the vessel?$($c$)$ If the temperature changes as the reaction proceeds, can the table be constructed in terms of moles? Molar concentrations? Partial pressures? Explain.$($d$)$ If instead the total pressure is kept constant at $1\mathrm{.}0$ bar and the temperature constant at $400$ K$,$ determine the concentration of NO for a $50\%$ conversion.