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Unformatted text preview: University of California Santa Barbara, Department of Chemical Engineering ChE 210A: Thermodynamics and Statistical Mechanics Problem set #6 Due: Friday, November 6, 2009 Objective: To understand and manipulate the thermodynamic properties of ideal and nonideal solutions and solids. 1. Statistical antics : Youve been asked to play a part in a murder mystery movie. Which character would you most enjoy playing: (1) a witty employee of the castle (the butler / cook / nanny / etc), (2) a secret government scientist, (3) the local police detective, (4) a bitter, rich old heir/heiress, (5) a quirky psychic/clairvoyant, or (6) a mysterious stranger from a foreign land? 2 . Conceptual problem (1 point). Show that g G and g are always positive, as long as is positive. 3. Applied problem (2 points). Consider a solution of two components, A and B, at vaporliquid equilibrium. Henrys law is an approximation that states that, if component A is very dilute, then where is the partial pressure of A in the gas phase, is the solutionphase mole fraction of A, and is Henrys constant, specific to the two components involved but independent of concentration. a) Assuming ideal gases and solutions, express in terms of standard chemical potentials. What makes Henrys law different from Raoults law ( vap )? b) [MDF problem 16.2] Divers can get the bends from nitrogen bubbles in their blood. Assume that blood is largely water. The Henrys law constant for N 2 in water at 25 is 86,000 atm. The hydrostatic pressure is 1atm at the surface of a body of water and increases by approximately 1 atm for every 33 feet of depth. Calculate the N 2 solubility in the blood at 0 and 30 ft deep, and explain why the bends occur. Assume ideal gases and solutions, and note that the atmosphere is roughly 80% nitrogen. 5. Applied problem (3 points).Applied problem (3 points)....
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 Spring '09
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