One kilomole ideal gas is compressed so that the pressure and temperature vary according to the law P = aT ^ 2, where the numerical value of a = R / 2. The initial volume of the gas decreases 3L 3 times. What kind of work performed during gas compression, and how much heat will be generated, if the molar heat capacity of the gas in C = Cv + 2R, where Cv = 21 (J / mol * K) - the molar heat at constant volume?

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