(Solution) - a An ideal gas initially at pressure ps undergoes a -(2025 Original AI-Free Solution)

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(a) An ideal gas initially at pressure ps undergoes a free expansion until its volume is 3.00 times its initial volume. What then is the ratio of its pressure to p0?
(b) The gas is next slowly and adiabatically compressed back to its original volume. The pressure after compression is (3.00)1/3 p0. Is the gas monatomic, diatomic, or polyatomic?
(c) What is the ratio of the average kinetic energy per molecule in this final state to that in the initial state?