This is for the course Reaction Engineering which concerns the design of reactors. using the problem below and the solution, EXPLAIN THE GIVEN SOLUTION AND EXPLAIN WHAT THE PROBLEM SHOULD TEACH CHEMICAL ENGINEERING STUDENTS.

Problem: The first order gas phase reaction A $-->3$B is taking place in a constant volume batch reactor. The initial pressure, which is constituted with $50\%$ A and the rest inerts is $2$ atm. If the rate constant for the reaction is $0\mathrm{.}05$ min$^(-1),$ how much time would be needed to reach a pressure of $3$ atm in the reactor.

Solution: