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Work from PV diagrams

You might need: Calculator

Problem

A gas is taken through the cycle shown below.
The values of the pressure and volume at the various points is given in the table below.
QuantityValue
P12×105 N/m2
P2105 N/m2
VA1 m3
VB8 m3
VC6 m3
VD2 m3
What is the net work done by the gas in the complete cycle?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
×105 J