One mole of an ideal monoatomic gas is put through a cycle consisting of the following reversible steps:  a. Isothermal compression from 2 atm and 10 L to 20 atm and 1 L  b. Isobaric expansion to return the gas to the original volume of 10 L  c. Cooling at constant volume to bring the gas to the original pressure and temperature.  Illustrate the steps on a P-V curve. Calculate q, w, ΔU, ΔH, and ΔS for each step and for the cycle.

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