A piston$-$cylinder device contains a mass m$=0\mathrm{.}75+0\mathrm{.}0025$Z $[$kgl of an ideal gas $($Figure $1).$ The ratio of the gas specific heats is k cp$/$cv$=1\mathrm{.}667.$ The gas is cooled at constant pressure until its temperature decreases by T$=10\backslash$deg C$.$ During the process, a compression work W$=16\mathrm{.}5$ kJ is done.$($i$)$Determine the value of the specific gas constant and the molecular mass of the gas.$($ii$)$Determine the values of the gas specific heats $($Cp$,$ Cv$).$Ideal gaS