An ideal gas has R $=290$ J$/$kg K and $\backslash$gamma $=1\mathrm{.}35.$ Determine, $($i$)$ The values of cp and cv $($ii$)$ The mass of the

gas, if it is filled in a vessel of $0\mathrm{.}5$ m$3$

at a pressure of $4$ bar and temperature is $270$C$.($iii$)$ If $40$ kJ of heat

is given to the vessel when the vessel is closed. Determine the resulting pressure and temperature