A system undergoes a two-step process as sketched in the figure below. The syste

Question

A system undergoes a two-step process as sketched in the figure below. The system first expands at constant pressure from state i to state A and then it is compressed with the pressure again held fixed, ending with the system in state f. What is the approximate amount of work done by the system during each step? (Assume V1 = 0.2m3 and V2 = 0.4 m3.)

Estimate the pressure of the system.
? Pa

Estimate the volume at state i.
? m3

Estimate the volume at state A.
? m3

Estimate the volume at state f.
? m3

Calculate the work done by the system during the expansion step. (Use your estimates.)
? J

Calculate the work done by the system during the compression step. (Use your estimates.)
? J

Explanation / Answer

part a)

pressure of the system is given

P=15,000

part b)

Volume of state i=0.1

part c)

Volume of state A=0.4+0.05

part d)

Volume of state f=0.2

part e)

W=nRTln(VA/Vi)

part f)

W=nRTln(Vf/VA)

in this process P is constant

for ideal gas

PV=nRT

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