A vertical cylindrical vessel, closed on both sides, is divided into two parts by a heavy heat-proof piston; both parts of the vessel contain the same amount of air. At the same air temperature T1 = 400° K in both parts, the pressure P2 in the lower part of the vessel is twice the pressure P1 in the upper part. To what temperature T2 must the air in the lower part of the vessel be heated so that the volumes of the upper and lower parts become equal?

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