In an isothermal expansion, an ideal gas at an initial pressure P0 expands until its volume is

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In an isothermal expansion, an ideal gas at an initial pressure P0 expands until its volume is twice its initial volume.

(a) Find its pressure after the expansion.

(b) The gas is then compressed adiabatically and quasi-statically back to its original volume, at which point its pressure is 1.32P0. Is the gas monatomic, diatomic, or polyatomic?

(c) How does the translational kinetic energy of the gas change in these processes?

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