Hi all,

Need assistance solving this consecutive, second order, irreversible reaction in a batch reactor problem.

Initially, 1 mole of A, 2 moles of S. Find mole fraction of X after half of A is consumed. k2/k1 = 2

A + S >k1> X

X + S >k2> Y

Attempted Solution

I formed a system of ODEs for A,Y,S, and X but I don't know where to proceed from here. Furthest I can get is:

Nx' + Ns' = -4 (k1) Nx Ns

Where Ns' = dNs/dt