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Four moles of an ideal gas under 10 bar of pressure at T=300 K is allowed to expand from 2 L to 8 L by decreasing the pressure to 1 bar.

a. Calculate the work if the process is carried out reversibly and isothermally.

b. Calculate the work for question 1 if the process is carried out irreversibly.

c. Calculate the work if the gas is now re-compressed to 2 L by reapplying the 8 bar of pressure. Assume that the process is carried out reversibly and isothermally.

d. Calculate the work if the gas is now re-compressed to 2 L by reapplying the 8 bar of pressure but it is done irreversibly.

e. How are your answers to a and c related? B and d?

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