A piston-cylinder device initially contains 100 moles of an ideal gas at T = 353.15 K and P = 0.1 MPa. The ideal gas has CP* = (7/2)R. The ideal gas is compressed isothermally until its volume is half its initial volume. How much work was done on the gas?
A. No work was done because the temperature stayed constant throughout.
B. 461. kJ
C. -203. kJ
D. 203. kJ
E. Insufficient information to solve
A. Incorrect. The decrease in volume must increase pressure. Increasing system pressure—even a system composed of an ideal gas—requires energy added to the system.
B. Incorrect. You forgot to convert to absolute temperature.
C. Incorrect. The system is being compressed, so energy is being given (+) to the system. Check your natural log function.
D. Correct. This problem closely parallels Example 3-10.
E. Incorrect. Enough information is provided to solve the problem.
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