What is the CSTR volume necessary to consume 99% of A when the - ProProfs Discuss

# What is the CSTR volume necessary to consume 99% of A when the entering molar flow rate is 5 mol/h, assuming that the reaction rate is second order(-rA= kCA2) with k = 3 dm3/mol*h and entering volumetric flow rate is 10 dm3/h? A------> D (Isothermic)

A. 0.2 mol/dm3
B. 0.3 mol/dm3
C. 0.4 mol/dm3
D. 0.5 mol/dm3

This question is part of REACTION ENGINEERING & SEPARATION PROCESS
Asked by Chowcharles, Last updated: Aug 05, 2020

#### V. Barnes

V. Barnes

The reaction or behavior of a CSTR is always approximated or modeled by that of a Continuous Ideally Stirred-Tank Reactor (CISTR). All calculations performed with CISTRs assumes a perfect mixing.

Solution

Write the equation for the final concentration leaving the reactor as follows:
…… (1)
Here, is the final concentration of reactant A, is initial concentration of reactant A, and is the conversion in the reactor.

The entering volumetric flow rate of reactant A is .

The molar flow rate of reactant A is .

Initial concentration of reactant A is calculated using following formula.

For conversion, the final concentration of the reactant from equation (1) is calculated as follows:

Hence the final concentration of reactant A is .

John Smith

0.5 mol/dm3

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