$($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 $4R.$ 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 $1).$