An ideal monatomic gas is used in a heat engine and is taken around the cycle shown on thePV diagram of the figure. In part C of the cycle, the gas experiences adiabatic expansion suchthat it obeys the relation pVY = constant, where y = 2, and f is the number of degrees offreedom of the molecules. Hint: you DO NOT need to know the number of molecules tosolve this problem.1. Find the pressure P2.2. Compute the work done on the gas, the change in the internal energy, and the heatadded to the gas in step A.3. Compute the work done on the gas, the change in the internal energy, and the heatadded to the gas in step B.4. Compute the work done on the gas, the change in the internal energy, and the heatadded to the gas in step C.5. Compute the net work done BY the gas, the input heat added to the gas, and the netchange in the internal energy of the gas.6. Compute the efficiency of the heat engine.7. Compute the efficiency of a Carnot engine operating between the same temperatureextremes. P(pa)P,2PVY == constantB105→V (m³)

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