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Question

The pressure in the gas in a flow device changes according to the relation P=1000 V+C where P is in kPa and v in m3/kg initially the pressure is 100 kPa and volume is 0.01 m3/kg. What is the work done if the final pressure is 50 kPa ?

A
1.75 kJ
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B
3.25 kJ
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C
3.75 kJ
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D
4.5kJ
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Solution

The correct option is A 1.75 kJ
P1=100 kPa v1=0.01 m3/kg

P2=50 kPa

P=1000 v+C

100=1000×0.01+C

110=C

P=1000v+110

100C1000=v

100C1000=+0.01C=110

P1101000=v

Work done =vdP=P1101000dP

11000[P2110P]=11000{(5021002)2110[50100]}=1.75kJ

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