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Sketch a PV diagram and find the work done bythe gas during the following stages

ID: 1747708 • Letter: S

Question

Sketch a PV diagram and find the work done bythe gas during the following stages. (Drawthe PV diagram on paper. Your instructor may askyou to turn in this work.) (a) A gas is expanded from a volume of 1.0 L to 3.5 L at a constant pressureof 3.1 atm.
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(b) The gas is then cooled at constant volume until the pressurefalls to 2.0 atm.
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(c) The gas is then compressed at a constant pressureof 2.0 atm from a volumeof 3.5 L to 1.0 L.(Note: Be careful of signs.)
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(d) The gas is heated until its pressure increasesfrom 2.0 atmto 3.1 atm at a constantvolume.
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(e) Find the net work done during the complete cycle.
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(a) A gas is expanded from a volume of 1.0 L to 3.5 L at a constant pressureof 3.1 atm.
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(b) The gas is then cooled at constant volume until the pressurefalls to 2.0 atm.
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(c) The gas is then compressed at a constant pressureof 2.0 atm from a volumeof 3.5 L to 1.0 L.(Note: Be careful of signs.)
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(d) The gas is heated until its pressure increasesfrom 2.0 atmto 3.1 atm at a constantvolume.
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(e) Find the net work done during the complete cycle.
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Explanation / Answer

(a)   constant pressure,    work= p V =   3.1 * 2.5 =   7.75 atm-L =    785.1Joules . (b)   constant volume,   work =   0 . (c)   constant pressure,   work = pV = 2.0 * -2.5 =   - 5.00atm-L =  -506.5 Joules . (d) constant volume,   work = 0 . (e)     total work =  785.1 + 0   - 506.5 + 0   =    278.6 J
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