It is desired to obtain 1 mol/h of a product "R" at 700°C and at 1 atm pressure, which results from the reaction:

A+B→T.

From previous experimentation, it is known that the reaction is irreversible and of first order with respect to each reactant, and that the value of the rate constant is 1.5 L/mol-min.

The composition of the gaseous feed is 20 mol% A, 60 mol% B and 20 mol% inerts. If a 90% conversion of the limiting reactant is to be achieved, calculate:

a) The volume of an intermittent reactor (Batch) at constant volume with the same purpose, if the dead times have a value of 60 minutes and the feeding conditions are the same as in item (a).

b) Calculate the optimal conversion.