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A gas undergoes two processes. In the first, the volume remains constant at 0.200 m3 and the pressure increases from 2.00 x 105 Pa to 5.00 x 105 Pa. The second process is a compression to a volume of 0.120 m3 at a constant pressure of 5.00 x 105 Pa. (a) In a pV-diagram, show both processes. (b) Find the total work done by the gas during both processes.

Short Answer

Expert verified

a) The pV diagram of both the processes is:

b) The total work done by the gas during both the processes is-4104J

Step by step solution

01

pV diagram

In the first process the pressure changes where as the volume is constant at V1=0.2. Therefore, the first process is drawn with red line. In the second process the pressure is constant while the volume changes from V1to V2, it is drawn with green line.

02

To calculate the total work done by both the processes.

To calculate the work done during both the process. We will calculate the work done for each process and then combine the two, work done to get the total work done.

In the first process:

the volume is constant therefore the work done is zero.

In the second process,

W1=0

The pressure is kept constant atp=5105 , and the volume changes fromV1toV2and the work done is given byW2 .

W2=pV2-V1=5105pax0.12-0.2=-4104J

Now the total work done is:

Wt=W1+W2=0+W1+W2=0+-4104J=-4104J

Therefore, the total work done by the processes is-4104J

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