Question

The design equation for Batch reactor in integral form is _____

(a) t = NA0\(\int_0^{XA} \frac{dXA}{-r_A} \)

(b) t = \(\int_0^{XA} \frac{dXA}{-r_A} \)

(c) t = NA0\(\int_0^{XA} \frac{dXA}{-r_{AV}} \)

(d) t = \(\int_0^{XA} \frac{dXA}{-r_{AV}} \)

The question was asked in a job interview.

The query is from Batch Reactor Design Equations topic in portion Ideal Reactors for a Single Reaction, Conversion and Reactor Sizing of Chemical Reaction Engineering

Answer 1

Correct choice is (c) t = NA0\(\int_0^{XA} \frac{dXA}{-r_{AV}} \)

Easiest explanation: The differential form of the design equation is widely used in interpreting the lab data. Mole balance written in terms of conversion is integrated to get the above equation.