$($Sandler $4\mathrm{.}32)$ A two partitioned tank $($Tank $2)$ is connected to another tank $($Tank $1).$ Tank $1$ initially contains an ideal gas at $10$ bar and $20C,$ and both parts of tank $2$ contain the same gas at $1$ bar and $20C.$ The valve connecting the two tanks is opened. long enough to allow the pressures in the tanks to equilibrate and is then shut. There is no transfer of heat from the gas to the tanks or the frictionless piston, and the constant$-$pressure heat capacity of the gas is $4$R$.$ Compute the temperature and pressure of the gas in each part of the system at the end of the process and the work done on the gas behind the piston $($each partition of Tank $2$ and the Tank $1).$