# Question: A 4 00 L sample of a diatomic ideal gas

A 4.00-L sample of a diatomic ideal gas with specific heat ratio 1.40, confined to a cylinder, is carried through a closed cycle. The gas is initially at 1.00 atm and at 300 K.

First, its pressure is tripled under constant volume.

Then, it expands adiabatically to its original pressure. Finally, the gas is compressed isobarically to its original volume.

(a) Draw a PV diagram of this cycle.

(b) Determine the volume of the gas at the end of the adiabatic expansion.

(c) Find the temperature of the gas at the start of the adiabatic expansion.

(d) Find the temperature at the end of the cycle.

(e) What was the net work done on the gas for this cycle?

First, its pressure is tripled under constant volume.

Then, it expands adiabatically to its original pressure. Finally, the gas is compressed isobarically to its original volume.

(a) Draw a PV diagram of this cycle.

(b) Determine the volume of the gas at the end of the adiabatic expansion.

(c) Find the temperature of the gas at the start of the adiabatic expansion.

(d) Find the temperature at the end of the cycle.

(e) What was the net work done on the gas for this cycle?

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