Two consecutive first-order reactions are carried out in a perfectly stirred, isothermal batch reactor.

r_a=k₁Ca

r_b=k₂Cb

(Use Laplace transform for problem solving tool)

a) Considering constant density, obtain analytically the dynamic behavior of the concentrations of components A and B for the situation where k₁ = k₂. The concentration of A at the start of the batch is Ca₀. Initially there are no B and C components in the reactor.

b) What will be the maximum concentration of component B produced and when does this occur?

A HB - Cc do |V CA