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The consecutive liquid phase reactions k1 ,r1 k2 ,r2 k3 ,r3 . Estimate A −−→ B...

The consecutive liquid phase reactions k1 ,r1 k2 ,r2 k3 ,r3 . Estimate A −−→ B −−→ C −−→ D with first-order kinetics occur in a steady state CSTR. The feed composition for the CSTR is: CA0 > 0, CJ0 = 0, J = B, C, D. (a). Write mass balances for A, B, C, and D. From these, deduce that CJ’s, J = A, B, C, D, are related by a linear equation. Obtain expressions for CJ, J = A, B, C, D, in terms of CSTR space time τ. (b). Deduce qualitatively that CB and CC undergo maxima with respect to τ. Obtain condi- tions/expressions for optimum values of τ where CB and CC attain their individual maxima. (c). For k1 = 3 min−1, k2 = 2 min−1, and k3 = 1 min−1, estimate the optimum τ’s corre- sponding to maximum CB and CC and the corresponding reactor compositions, CJ’s, J = A, B, C, D.

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