A gas is compressed from an initial volume of to a final

Chapter 4, Problem 10P

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QUESTION:

Problem 10P

A gas is compressed from an initial volume of  to a final volume of During the quasi-equilibrium process, the pressure changes with volume according to the relation Calculate the work done during this process (a) by plotting the process on a P-V diagram and finding the area under the process curve and (b) by performing the necessary integrations.

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QUESTION:

Problem 10P

A gas is compressed from an initial volume of  to a final volume of During the quasi-equilibrium process, the pressure changes with volume according to the relation Calculate the work done during this process (a) by plotting the process on a P-V diagram and finding the area under the process curve and (b) by performing the necessary integrations.

ANSWER:

Problem 10P

A gas is compressed from an initial volume of 0.42  to a final volume of 0.12 . During the quasi-equilibrium process, the pressure changes with volume according to the relation  where a = -1200 kPa/ and b = 600 kPa. Calculate the work done during this process (a) by plotting the process on a P-V diagram and finding the area under the process curve and (b) by performing the necessary integrations.

                                                              Step by Step Solution

Step 1 of 6

(a)   Sketch the p-v diagram for the quasi equilibrium process as in Figure (1)

       

        Figure 1

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