Equation of state $($EOS$)$ of a gas is given by U$($P$,$V$,$N$)=$ PVsquare where U is total energy, P is pressure, V is

volume. The gas is initially at $($Po$,$ Vo$).$ The volume of the gas is changed to V$1$ in an adiabatic manner.

$($a$)$ Find the new pressure of the gas, P$1.$

$($b$)$ Find the work done during the process.