HW1 - Homework 1: Due at the beginning of class 02/11/09...

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Homework 1: Due at the beginning of class 02/11/09 Problem 1. We have an ideal gas in a box, which we can expand as we like. Initially, the box has a volume of V and we expand it to 2 V while keeping the internal gas pressure constant. You see that the temperature changes. (a) In what direction (higher or lower) and how much does the temperature change in this process? Express it as the ratio of the new temperature over the old one. (b) What is the sign of Δ U (i.e. the energy energy of the gas) in this process? (c) What are the signs of w and q in this process? (d) Let’s compare the magnitude of w and q . Which one has a larger magnitude? (e) What do you think is going on to cause the change in temperature? How the energy is converted in this process? Problem 2. Derive the equation for the work of reversible isothermal expansion of a van der Waals gas from V i to V f . Temperature is set to T . The van der Waals equation is () nRT nb V V n a P = + 2 2 Problem 3. Atmospheric pressure ( P ) changes with the elevation h above the sea level. As you know, P = P 0 = 1 atm at h = 0 (the sea level). Let’s derive an expression of the pressure
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This note was uploaded on 04/03/2009 for the course CH 353M taught by Professor Lim during the Spring '08 term at University of Texas at Austin.

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HW1 - Homework 1: Due at the beginning of class 02/11/09...

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