Chemical kinetics

missmaria

1. The problem statement, all variables and given/known data
Write down the material balance for the components A, B, C, D id this reaction takes place in a batch reactor:

A+B[tex]\Updownarrow[/tex]C and C+B[tex]\Updownarrow[/tex]D

The difunctional starting material (A) combines with the primary reactant (B) to form a monofunctional intermediate (C), which subsequently combines with B to produce the final desired product (D).

2. Relevant equations
(dC_j/dt)=R_j

r_1=k_1*C_A*C_B-k_-1*C_C
r_2=k_2*C_B*C_C-k_-2*C_D


3. The attempt at a solution

Okay i know that (dC_A/dt)=-r_1, (dC_B/dt)=-r_1-r_2, (dC_C/dt)=r_1-r_2, and (dC_D/dt)=r_2
I've also assumed that C_A(0)=C_A0, C_B(0)=C_B0, C_C(0)=0 and C_D(0)=0
I don't know how to go about solving the rest. please help.