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1. Consider the stirred tank mixing process below. Streams 1 and 2 feed dilute aqueous solutions of species A (at compositions X1 and x2, in g A/g) into the tank. Determine the composition of A in the tank, x, that results by adjusting the mass flow rate, w2. You can assume that the feed composition X2, the mass flow rate wu the density, p, and the volume, V, are constant. Note that feed composition xj is subject to change. x] X2 w1 102 x a. Write the material balance for the tank, linearize it, and transform it to the Laplace domain (defining and using appropriate deviation variables). b. Find a transfer function for the system.

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