An ideal gas is enclosed in a cylinder with a movable piston at the top. The walls of the cylinder are insulated, so no heat can enter or exit. The gas initially occupies volume V1 and has pressure p1 and temperature T1. -The piston is then moved very rapidly to a volume of V2 = 3V1. The process happens so rapidly that the enclosed gas does not do any work. Find p2, T2, and the change in entropy of the gas.
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