Chemical Engineering 150B Problem Set 1 Due Friday September 3, 2010 Problem 1. (15 points) Using Fick's law for a binary mixture, prove the following relations, a)The diffusion coefficient of A in Bequals the diffusion coefficient of Bin A b)JA+ JB = 0c)NA + NB = cVProblem 2. (15 points) A gas mixture at a total pressure of 150 kPa and 295 K contains 20% H2, 40% O2, and 40% H2O 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: jO2, nO2, JO2, NO2. Problem 3. (15 points) The liquid phase diffusivity of carbon tetrachloride (CCl4) in methanol was reported by Reid, Prausnitz, and Sherwood to be 1.7 x 10-9m2/s at 288 K. (a)Use this experimental value to evaluate the association parameter, φΒ, of methanol. The viscosity of methanol at 288 K is 0.62 centipoise.
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