I have tried this problem multiple times and I keep getting the same answers whi

Question

I have tried this problem multiple times and I keep getting the same answers which are wrong. Can someone please help?

The picture is ak little blurry so here is the 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 (m^3) Pressure (Pa) V0=26.2 p0=1.37e4 V1=19.3 p1=1.37e4 V2=16.6 p2=5.76e3 V3=13.3 p3=5.76e3 V4=13.3 p4=3.06e3 V5=8.02 p5=1.00e3 ressure 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: Pressure (Pa) Volume (ms) Vo 26.2 po 1.37 x 104 Vi 19.3 p1 1.37 x 104 166 p2 5.76 x 103 13.3 V4 13.3 p4 3.06 x 103 V5 *8.02 p5 1.00 x 103 Number W. 02 105249 V (cubic p (Pa) Number 13010.4. 05

Explanation / Answer

we know when work is done by the gas, W is positive

when work is done on gas W is negative.

In the given case work is done on the gas. so, W is negative.

we also know, Workdone = area under P-V curve

Wo2 = -( (Vo - V1)*Po + (V1 - V2)*P2 + (1/2)*(V1-V2)*(P2-P1) )

= -( (26.2 - 19.3)*1.37*10^4 + (19.3 - 16.6)*5.76*10^3 + (1/2)*(19.3 - 16.6)*(1.37-0.576)*10^4 )

= -120801 J

Wo5 = Wo2 + W25

= -120801 -( (V2-V3)*P2 + (V4-V5)*P5 + (1/2)*(V4-V5)*(P5-P4) )

= -120801 - ( (16.6 - 13.3)*5.76*10^3 + (13.3 - 8.02)*1*10^3 + (1/2)*(13.3 - 8.02)*(3.06 - 1)*10^3 )

= -150527 J

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