Question

Which of the following correctly relates conversion to the heat of adiabatic reaction?

(a) Cp ∆T(-∆HR) = XA

(b) \(\frac{C_p}{-H_R}\) = XA

(c) \(\frac{C_p ∆T}{-H_R}\) = XA

(d) \(\frac{-H_R C_p}{∆T}\) = XA

The question was posed to me during an internship interview.

This is a very interesting question from RTD for Chemical Reactors topic in portion Distribution of Residence Time for Chemical Reactors of Chemical Reaction Engineering

Answer 1

Right option is (c) \(\frac{C_p ∆T}{-H_R}\) = XA

For explanation: Conversion is obtained by the ratio of heat needed to raise the feed stream to the final temperature, T2 to the heat released by the reaction at T2.

 XA = \(\frac{C_p (T_2- T_1)}{-H_R}. \)