Sketch a PV diagram and find the work done by the gas during the following stage

Question

Sketch a PV diagram and find the work done by the gas during the following stages. (Draw the PV diagram on paper. Your instructor may ask you to turn in this work.)

(a) A gas is expanded from a volume of 1.0 L to 2.8 L at a constant pressure of 2.9 atm.
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(b) The gas is then cooled at constant volume until the pressure falls to 1.9 atm.
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(c) The gas is then compressed at a constant pressure of 1.9 atm from a volume of 2.8 L to 1.0 L. (Note: Be careful of signs.)

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(d) The gas is heated until its pressure increases from 1.9 atm to 2.9 atm at a constant volume.
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(e) Find the net work done during the complete cycle.
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Explanation / Answer

(e) Net work done= area under P-V graph= -(v2-v1)*(p2-p1)= -(2.8_1)*(2.9-1.9) j= -1.8*1 j= -1.8 j

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