Consider a reaction at the gas phase A --> B + C taking place in a PFR with diameter 2.5 cm. The reactor temperature is 500 degC and the pressure is 2 atm and all gases can be assumed ideal. The reaction rate is first order with respect to the reactant, A, and the corresponding rate constant is k= 0.05 s-1 at the reactor operating conditions. For a feed flowrate of 0.5 L/s, calculate the length of the reactor required to achieve 40% conversion of the reactant