A pressure versus volume (pV diagram is shown in the figure below for a system.

Question

A pressure versus volume (pV diagram is shown in the figure below for a system. The arrows of the curve indicate the direction of the process and the points of interest are labelled. Calculate the amount of work done on the system from 0-2 and then for the entire curve 0 5. The values for the points in the diagram are: Volume (m3) Pressure (Pa) Vo 25.8 Po 31.37 x 104 V 19.9 p1 1.37 x 104 176 p2- 5.13 x103 2 13.6 p3 5.13 x 103 V4 13.6 p4 2.64 x 103 V5 8.36 p5 1.00 x 103 Number 02 V (cubic m p (Pa) Number W. 05

Explanation / Answer

W02 = 1.37 X 104 ( 25.8 - 19.9 ) + 5.13 X 103 X ( 19.9 - 17.6 ) +

( 19.9 - 17.6 ) X ( 1.37 X 104 - 5.13 X103 ) / 2

W02= 102484 J

W05 = ( 17.6 - 13.6 ) X 5.13 X 103 + 1 X 103 X ( 13.6 - 8.6 ) + ( 2.64 X 103 - 1 X 103 ) X ( 13.6 - 8.6 ) / 2

= 20520 + 5000 + 4100

W05 = 29620 J

the total work is W = W02 + W05

W = 102484 + 29620

W = 132104 J

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