14. 21 In the graph below, each unit on the horizontal axis is 1.5 m 3 and each

Question

14. 21

In the graph below, each unit on the horizontal axis is 1.5 m3 and each unit on the vertical axis is 3.5 atm.

In the graph below, each unit on the horizontal axis is 1.5 m3 and each unit on the vertical axis is 3.5 atm. A gas is compressed along the path AC. What is the work done on the gas in this case? How is the work done related to the area under the curve? What is the difference between work done by the gas and on the gas? J f the gas is instead compressed along the path ABC, what is the work done on the gas? What is the work done along the path where the volume is constant? J What is the work done on the gas if the path of compression is along ADC? What is the work done along the path where the volume is constant? J

Explanation / Answer

1. Work done = area under AC line= (1/2*7*4+2*4)3.5*1.5*1.01325*10^5

W = 117.030*10^5 J

2. for pathh ABC ,

Work done = area of the rectangle under BC = (9*4*3.5*1.5*1.01325*10^5)

W = 191.45*10^5 J

3.for pathh ADC ,

Work done = area of the rectangle under DC = (2*4*3.5*1.5*1.01325*10^5)

W =2.128*10^5 J

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