$(40pts)$ A Carnot engine containing I mole of ideal gas is initially at rest at $600K$ and $5$atm. It goes

through the following scries of processes to make one cycle:

Isothermal expansion to $5$ times its initial volume

Adiabatic expansion to a pressure of $0\mathrm{.}2$atm

Isothermal compression to a volume of $26lt$ and a pressure of $0\mathrm{.}99$atm

Adiabatic compression to the inital volume, pressure and temperature

Calculate the PVT values at cach state and the changes in internal energy, heat and work transfers during each

of the processes. Also calculate the efficiency of this engine.