Map sapling learning A pressure versus volume (p) diagram is shown in the figure
ID: 1474954 • Letter: M
Question
Map sapling learning A pressure versus volume (p) 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 F 1.37 x 104 p1 1.37 x 104 V1 19.6 V2 168 p2 5.55 x 103 p3 5.55 x 103 V3 14.2 p4 3.48 103 V4 14.2 V5 9.04 p5 1.38 x 103 Number 02 V (cubic m p (Pa) Number 05 Previous Give Up & View Solution Check Answer Next Exit 8 HintExplanation / Answer
a)
work done from 0 to 2 is,
W02=W01+W12
=Po*(V1-Vo)+1/2*(V2-V1)*(P2-P1)
=1.37*10^4*(19.6-25.8)+(1/2*(16.8-19.6)*(5.55*10^3-1.37*10^4)
=-73530 J
work done on the system W02=73530 J
b)
Work done from 0 to 5 is,
W05=W02+W25
=(-73530)+(W23+W34+W45)
=(-73530)+(P2*(V3-V2)+0+1/2*(v5-v4)*(P5-P4))
=(-73530)+(5.55*10^3*(14.2-16.8)+1/2*(9.04-14.2)*(1.38*10^3-3.48*10^3))
=-82542 J
work done on the system W05=82542 J