For the reaction sequence carried out in a well-mixed batch reactor with no R or S initially present, the concentration of R will go through a maximum as a function of time. Derive the model  4s for...

For the reaction sequence

carried out in a well-mixed batch reactor with no R or S initially present, the concentration of R will go through a maximum as a function of time. Derive the model  4s for this situation and solve them for C_R(t). Compute the time at which the maximum occurs, t_M, and the value C_R(t_M). [It will be necessary to solve an equation of the form dx/dt + kx = b(t).