CSTR Equation Derivations

The reactions are:

1 A->B -r1A = k1*cA; r1A = -k1*cA

2 B->A r2A = k2*cB

3 B->C -r3B = k3*cB

4 2A->D -r4A = k4*cA^2

F_A - F_A⁰ = (S⁴_i=1 r_iA)*V = (r1A + r2A + r3A + r4A)*V
F_A = v0*cA; F_B = v0*cB
c_A - c_A⁰ = (r1A + r2A + r3A + r4A)*V/v0 = (r1A + r2A + r3A + r4A)*t
where t = V/v0

c_A - c_A⁰ = (-k1cA+k2cB-k4cA^2)*t

c_B - c_B⁰ = t*S⁴_i=1 r_iB = (k1cA-k2cB-k3cB)*t

Return

1	A->B	-r1A = k1cA; r1A = -k1cA
2	B->A	r2A = k2*cB
3	B->C	-r3B = k3*cB
4	2A->D	-r4A = k4*cA^2