20.0L of an ideal diatomic gas at 1.00 atm and 300 K are contained in a cylinder

Question

20.0L of an ideal diatomic gas at 1.00 atm and 300 K are contained in a cylinder with a piston. The gas first expands isobarically to twice its original volume (step 1). It is then compressed isothermally back to its original volume (step 2), compressed isobarically to half its original volume (step 3), and finally allowed to expand isothermally back to its original volume (step 4).

a) Show the series of processes on a pV diagram.
b) Calculate the temperature, pressure, and volume of the system at the end of each step in the process. Indicate the values of the isothermal processes on the pV diagram.
c) Compute the total work done by the gas on the piston during each step of the cycle, both in Joules and in L-atm, and the total work done by the gas for one complete cycle.
d) Compute the heat added during each step of the cycle, both in Joules and in L-atm, and the total heat added for one cycle. Compare the total work done with the total heat added.

Explanation / Answer

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