Sketch a PV diagram and find the work done by the gasduring the following stages

Question

Sketch a PV diagram and find the work done by the gasduring the following stages. (Draw the PV diagram onpaper. Your instructor may ask you to turn in this work.) (a) A gas is expanded from a volume of 1.0 L to2.6 L at a constant pressure of3.3 atm.
1 J

(b) The gas is then cooled at constant volume until the pressurefalls to 1.9 atm.
2 J

(c) The gas is then compressed at a constant pressure of1.9 atm from a volume of 2.6 L to 1.0 L. (Note: Be careful ofsigns.)
3 J

(d) The gas is heated until its pressure increases from1.9 atm to 3.3atm at a constant volume.
4 J

(e) Find the net work done during the complete cycle.
5 J (a) A gas is expanded from a volume of 1.0 L to2.6 L at a constant pressure of3.3 atm.
1 J

(b) The gas is then cooled at constant volume until the pressurefalls to 1.9 atm.
2 J

(c) The gas is then compressed at a constant pressure of1.9 atm from a volume of 2.6 L to 1.0 L. (Note: Be careful ofsigns.)
3 J

(d) The gas is heated until its pressure increases from1.9 atm to 3.3atm at a constant volume.
4 J

(e) Find the net work done during the complete cycle.
5 J

Explanation / Answer

(a) A gas is expanded from a volume of 1.0 L to 2.6 L at a constant pressure of 3.3 atm. 1    W1 =535 J (b) The gas is then cooled at constant volume until the pressurefalls to 1.9 atm. 2             W2 = 0 J (c) The gas is then compressed at a constant pressure of1.9 atm from a volume of 2.6 L to 1.0 L. (Note: Be careful ofsigns.) 3 W3 = 308J (d) The gas is heated until its pressure increases from1.9 atm to 3.3atm at a constant volume. 4    W4 = 0 J (e) Find the net work done during the complete cycle. 5    W = 302 J

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