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Unformatted text preview: Chemistry 135: Problem Set #4 (Practice Midterm) Due October 19, 2010 1. Transformations of a non-ideal gas (50 pts) Consider a non-ideal gas, whose equation of state takes the form P kT = + B 2 + C 3 where = N/V is the density of the gas. For the complete problem, assume that temperature is a constant T . (a) Consider a reversible transformation at constant temperature, from a volume V i to V f . What is the work done on the gas? (b) Consider an irreversible , instantaneous 1-step transformation at constant temperature, from a volume V i to V f . What is the work done on the gas? (c) Which value is greater? Why? (d) What is the change in Helmholtz free energy F of the gas for the reversible transforma- tion above? (e) What is the change in Helmholtz free energy F of the gas for the irreversible transfor- mation above? 2. Magnetic moments in a magnetic field (50 pts) Consider a system of N magnetic moments of strength in a magnetic field of strength B ....
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