Chemical Engineering 150B Problem Set 1 Due Wednesday September 2, 2009 Problem 1. (15 points) Using Fick's law for a binary mixture, prove the following relations, a) The diffusion coefficient of A in B equals the diffusion coefficient of B in A b) J A + J B = 0 c) N A + N B = c V Problem 2. (15 points) A gas mixture at a total pressure of 150 kPa and 295 K contains 20% H 2 , 40% O 2 , and 40% H 2 O by volume. The absolute velocities of each species are -10, -2, and 12 m/s, respectively, all in the direction of the z-axis. a) Determine the mass average velocity, v , and the molar average velocity, V , for the mixture b) Evaluate the four fluxes: j O2 , n O2 , J O2 , N O2 . Problem 3. (15 points) The liquid phase diffusivity of carbon tetrachloride (CCl 4 ) in methanol was reported by Reid, Prausnitz, and Sherwood to be 1.7 x 10-9 m 2 /s at 288 K. (a) Use this experimental value to evaluate the association parameter, φ Β , of methanol. The viscosity of methanol at 288 K is 0.62 centipoise.
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