A device with a piston$-$cylinder contains an ideal gas with a molecular weight of $30$ and the specific heat ratio of $1\mathrm{.}5.$ The gas undergoes constant$-$pressure heating from $100$kPa and $300$ K to $500$ K in a volume of $1$ m$^3.$ Determine $($a$)$ the specific heat at constant pressure $($Cp$),($b$)$ the specific heat and constant volume $($Cv$),$ thr mass of the gas, $($d$)$ the final volume, $($e$)$ the work done $($W$),$ and $($f$)$ the heat exchange $($Q$).$