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An ideal gas initially at pressure P0, volume V0, and temperature T0 is taken through the cycle described in the figure below. (Assume n = 4 and m = 7.) A rectangular path is plotted on a PV diagram that has a horizontal axis labeled V, and a vertical axis labeled P. The area inside the rectangle is shaded. The path is clockwise and runs through corner points A–D in the following order: A (V0, P0),  B (V0, nP0),  C (mV0, nP0),  D (mV0, P0). (a) Find the net work done by the gas per cycle in terms of P0 and V0. (Substitute numeric values for n and m, do not use the variables n and m.) Wenv= (b) What is the net energy Q added to the system per cycle? (Use the following as necessary: P0 and V0.) Q =  (c) Obtain a numerical value for the net work done per cycle for 1.00 mol of gas initially at 0°C. Hint: Recall that the work done by the system equals the area under a PV curve.  kJ

An ideal gas initially at pressure P0, volume V0, and temperature T0 is taken through the cycle described in the figure below. (Assume n = 4 and m = 7.) A rectangular path is plotted on a PV diagram that has a horizontal axis labeled V, and a vertical axis labeled P. The area inside the rectangle is shaded. The path is clockwise and runs through corner points A–D in the following order: A (V0, P0),  B (V0, nP0),  C (mV0, nP0),  D (mV0, P0). (a) Find the net work done by the gas per cycle in terms of P0 and V0. (Substitute numeric values for n and m, do not use the variables n and m.) Wenv= (b) What is the net energy Q added to the system per cycle? (Use the following as necessary: P0 and V0.) Q =  (c) Obtain a numerical value for the net work done per cycle for 1.00 mol of gas initially at 0°C. Hint: Recall that the work done by the system equals the area under a PV curve.  kJ

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An ideal gas initially at pressure P0, volume V0, and temperature T0 is taken through the cycle described in the figure below. (Assume n = 4 and m = 7.)

A rectangular path is plotted on a PV diagram that has a horizontal axis labeled V, and a vertical axis labeled P. The area inside the rectangle is shaded. The path is clockwise and runs through corner points A–D in the following order:
  • A (V0, P0), 
  • B (V0, nP0), 
  • C (mV0, nP0), 
  • D (mV0, P0).
(a) Find the net work done by the gas per cycle in terms of P0 and V0. (Substitute numeric values for n and m, do not use the variables n and m.)
Wenv=
(b) What is the net energy Q added to the system per cycle? (Use the following as necessary: P0 and V0.)
Q = 
(c) Obtain a numerical value for the net work done per cycle for 1.00 mol of gas initially at 0°C. Hint: Recall that the work done by the system equals the area under a PV curve.
 kJ
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