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# A2 - PHYS 258 Thermal Physics Student ID Assignment 2 Last...

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PHYS 258 - Thermal Physics: Assignment 2 Due Monday January 24 Student ID: Last Name: Score: /12 1. Short questions [0.5+0.5] Calculate the internal energy in a liter of helium at room temperature and atmospheric pressure. Repeat the calculation for a liter of N 2 . [1] Suppose you have a gas containing hydrogen molecules and oxygen molecules, in thermal equilibrium. Which molecules are moving faster, on average? By what factor? [0.5] Estimate the volume of one mole of air, at room temperature and room pressure. [0.5] Estimate the speed of hydrogen molecule at room temperature. 2. Conceptual Question [3]. Two identical bubbles of gas form at the bottom of a lake, then rise to the surface. Because the pressure is much lower at the surface than at the bottom, both bubbles expand as they rise. However, bubble A rises very quickly, so that no heat is exchanged between it and the water. Meanwhile, bubble B rises slowly (impeded by a tangle of seaweed), so that it always remains in thermal equilibrium with the water (which has the same temperature everywhere). Which of the two bubbles is larger by the time they reach the surface? Explain your reasoning fully.

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