Air as an ideal gas execute a carnot cycle while operating between thermal reservoirs at $1200$ K and $600$ K$.$ The pressure at the initial and final states of the isothermal expansion process are $5000$ kPa and $3000$ kPa. Determine pressures at initial and final states of isothermal compression. Determine heat and work process for each of the four processes. Determine the thermal efficiency. Assume mass flow rate of air as m$=1$ kg$/$s