$18\mathrm{.}6$ A $0\mathrm{.}5$ m$3$ container holds $50$ mol of an unknown gas at a temperature of $25$C$.($a$)$ At what pressure is the gas in this container $($in kPa$)?$ A piston is used to expand the volume of the chamber to $1\mathrm{.}0$ m$3$ without changing the temperature of gas. $($b$)$ What is the pressure in the container now $($in kPa$)?$ The piston is again used to change the volume of the container $($without changing the temperature$).$ After doing so the pressure in the container is $496$ kPa. $($c$)$ What is the volume of the container $($in m$3)?$