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3) 20.0L of an ideal monatomic gas at 1.00 atm and 300 K are contained in a cyli

ID: 2105825 • Letter: 3

Question

3)

20.0L of an ideal monatomic gas at 1.00 atm and 300 K are contained in a cylinder with a piston. The gas first heats up isochorically to twice its original pressure (step 1). It then expands isothermally to twice its original volume (step 2), cools down isochorically back to its original temperature (step 3), and finally compresses isothermally back to its original pressure (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

Honestly, at this point you should probably rage quit.

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