Indian Institute of Technology Kharagpur (IIT-K) 2007 B.Tech Chemical Engineering Chemical process calculation - Question Paper

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-* /    Consider the coupled pair of reversible chemical reactions

2 A + B <- C A + D <-* C

Here, xi denotes the number of moles of C produced by the first reaction and X2 denotes the number of moles of C produced by the second reaction. Initially, the reaction mixture consists of 20 moles of A, 10 moles of B and 10 moles of D.

Accordingly, the equilibrium constants for the two reactions are given by:

K\

(20 - 2x_{ - x₂ )² (l 0 - x_l)

Kl

(20-2x_{ -x₂) (10- x₂)

If (ICeq)! = 1.63XI0^-4 and (K = 3.27X1 O'³, calculate the number of moles ofC present at equilibrium. Starting guess should be Xi = 0.5 and X2 = 0.5, and at least two iterations with Newton Raphson method is expected.