Thermal Physics PHYS ‐ 253 Assignment 3, due 8 October (2010) in class 1) A container of volume V contains n moles of gas at high pressure. Connected to the container is a capillary tube though which the gas may leak slowly out to the atmosphere, where the pressure is p0 . Surrounding the container and capillary is a warm bath, in which is immersed an electrical resistor. The gas is allowed to leak slowly through the capillary into the atmosphere while electrical energy is dissipated in the resistor at such a rate that the temperature of the gas, the container, the capillary, and the water is kept equal to that of the outside air. Show that, after as much gas as possible has leaked out during the time interval t , the change in internal energy is ∆ܷ ൌ ݂݁݉ ∙ ܫ ∙ ݐ െ ∙ሺ݊ݒ െܸሻ Where v0 is the molar volume of the gas at atmospheric pressure, emf is the potential difference across the resistor, and I is the current in the resistor.
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This note was uploaded on 12/15/2010 for the course PHYS 253 taught by Professor Petergrutter during the Fall '10 term at McGill.