Two of the vessel with the same volume V connected by

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Two of the vessel with the same volume V connected by a thin capillary tube, which amount is negligible compared with the volume of the vessel. In the middle of the capillary is a drop of mercury. The relation between the temperature changes and the relative displacement of the drop, if the initial temperature of the gas in the two vessels is equal to T and only one vessel is heated. The area of the capillary is S.

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Task 20724. Detailed solution with a short recording conditions, laws and formulas used in the decision, the withdrawal of the calculation formula and the answer.
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