Question

The design equation for constant volume batch reactor in terms of partial pressure is (Assuming the gases to be ideal)

(a) –ri = \(\frac{1}{RT}\frac{dpi}{dt} \)

(b) –ri = \(\frac{V}{RT} \frac{dpi}{dt} \)

(c) –ri = \(\frac{PV}{RT} \frac{dCi}{dt} \)

(d) –ri = V \(\frac{dCi}{dt} \)

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I'd like to ask this question from Batch Reactor Design Equations topic in division Ideal Reactors for a Single Reaction, Conversion and Reactor Sizing of Chemical Reaction Engineering

Answer 1

Correct option is (a) –ri = \(\frac{1}{RT}\frac{dpi}{dt} \)

Explanation: The design equation for batch system is –ri = \(\frac{1}{V}\frac{dNi}{dt}.\) For constant volume system

–ri = \(\frac{d(\frac{Ni}{V})}{dt} = \frac{dCi}{dt}\) where C = p/RT. Hence, –ri = \(\frac{1}{RT}\frac{dpi}{dt}. \)