(Solved):   The following reaction with is carried out in a constant volume batch reactor. The rate of ...

 

The following reaction with is carried out in a constant volume batch reactor. The rate of consumption of \( \mathrm{A} \) is first order kinetics and the rate constant is \( 0.035 \mathrm{~min}^{-1} \) at the operating temperature. \[ A \rightarrow B+C \] Determine the time needed to reach a conversion of \( 70 \% \) when the initial concentration of \( \mathrm{A} \) in the reactor is \( 1.5 \mathrm{~mole} / \mathrm{L} \). I. Determine the Control Volume, Physical Law, Model, Variables , Assumptions, Arbitrary Constants in the general solutions II. Establish the governing differential equation based on physical principles and geometrical properties underlying the problem. III. Identify the type of these differential equation and then solve using Laplace transforms