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(a) A gas is expanded from a volume of 1.0 L to 2.6 L at a constant pressureof 3

ID: 1680153 • Letter: #

Question


(a) A gas is expanded from a volume of 1.0 L to 2.6 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 1.8 atm.
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(c) The gas is then compressed at a constant pressureof 1.8 atm from a volumeof 2.6 L to 1.0 L.(Note: Be careful of signs.)
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(d) The gas is heated until its pressure increasesfrom 1.8 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 2.6 L at a constant pressureof 3.1 atm.
J

(b) The gas is then cooled at constant volume until the pressurefalls to 1.8 atm.
J

(c) The gas is then compressed at a constant pressureof 1.8 atm from a volumeof 2.6 L to 1.0 L.(Note: Be careful of signs.)
J

(d) The gas is heated until its pressure increasesfrom 1.8 atmto 3.1 atm at a constantvolume.
J

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

Explanation / Answer

a) W=Pdv = 3.1* (2.6-1.0) atm-l = 3.1*1.6 atm l = 4.96 atm-l =502.448 J
b)at constant volume W=0
c)W=1.8(1-2.6) atm - l = -291.744 J
d)W=0
e)W=502.448 - 291.744 J = 210.704J

1atm-l = 101.3 J