A cylindrical test tube of length L, containing a certain amount of gas at temperature T, is completely immersed in a liquid with density p, so that the bottom of the test tube touches the surface of the liquid. In this case, the liquid fills half of the test tube. The test tube is lifted up so that it barely touches the surface of the liquid with its open end. How should the temperature of the gas in the test tube be changed so that the liquid fills half of the test tube again? Atmospheric pressure is equal to P0.

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