Consider the following simple reaction mechanism where both reactions follow first-order kinetics
and R is the desired product:
𝐴
1
-> 𝑅
2
-> 𝑆
For this reaction mechanism, the time at which the desired product R reaches its maximum (tmax),
and the value of the maximum achievable concentration of desirable product R (CR,max) are given
by:
tmax = ln(k1 k2
⁄ ) (k1− k2)
⁄
CR,max = CA0[k1 k2
⁄ ]k2 (k2−k1)
⁄
A laboratorial test carried out with an initial concentration of reactant A of 1150 mol m-3
, resulted
in values of tmax and CR,max of 6.6 min and 957.82 mol m-3
, respectively. Based on this information,
calculate the value of the rate constant k2 in hr-1
.
Hint: the solution to this question requires the algebraic manipulation of the equations provided.