A certain mass of gas has a pressure P1, a volume V1 and a temperature T1. Then the gas at a constant volume is heated to a temperature T2 = 2T1, after which the gas expands at a constant pressure to a volume V2 = 4 V1. From the resulting state, the gas is returned to the initial (P1, V1, T1)t in such a way that during this process PVn is const. Determine n.

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