In a $1\mathrm{.}5$ft$^3$ piston$-$cylinder, there is carbon dioxide at $30$ psia and $800\backslash$deg F$.$ Determine $($i$)$ density and specific volume of carbon dioxide, $($ii$)$ the mass, in lbm$,$ occupied by carbon dioxide, $($iii$)$ the amount of carbon dioxide present, in lb$-$moles, and $($iv$)$ the number of molecules.