An ideal gas consisting of $6\mathrm{.}5\backslash$times $1024$ particles is contained in a rigid, sealed container at an initial temperature

of $20$ C and a pressure of $1\mathrm{.}0$ atm. The gas is heated in an isochoric process to a final temperature of $180$ C$.$

$($a$)$ What is the volume of the gas?

$($b$)$ What is the final pressure of the gas?

$($c$)$ By how much does the internal energy of the gas change during this process?

$($d$)$ How much heat is gained$/$lost by the gas during this process? Please clearly state if the heat was gained

or lost