With a reaction taking place in a 100 dm3 batch reactor, while the initial concentration of A is 0.01 mol / dm3, R is desired to be obtained with 70% conversion. Calculate according to all the different reaction rates below and discuss the difference in the results (the respective rate constant values for each reaction rate equation are given in parentheses). i) -rA = k (k = 0.05 mol / hr.dm3), ii) -rA = kCA (k = 0.05 h-1) ii) -rA = kCA2 (k = 0.05 dm3 / mol.sa) b. For the elemental reaction to A = R + S gerçekleşen at PAR, the volumetric flow rate is constant, 0.4m3 / s, and the reaction rate constant is 0.6 s-1. Calculate the reactor volume and free space time required to achieve 90% conversion (inlet molar flow rate of A: 10 mol / hr). c. What is the conversion realized in the reactor volume of 0.2 m3 and volumetric flow rate of 0.6 m3 / s for a liquid phase reaction that takes place in TKSR and has a 1st order reaction rate equation according to A? (Reaction rate constant: 1s-1)

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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a. With a reaction taking place in a 100 dm3 batch reactor, while the initial concentration of A is 0.01 mol / dm3, R is desired to be obtained with 70% conversion. Calculate according to all the different reaction rates below and discuss the difference in the results (the respective rate constant values for each reaction rate equation are given in parentheses).
i) -rA = k (k = 0.05 mol / hr.dm3),
ii) -rA = kCA (k = 0.05 h-1)
ii) -rA = kCA2 (k = 0.05 dm3 / mol.sa)

b. For the elemental reaction to A = R + S gerçekleşen at PAR, the volumetric flow rate is constant, 0.4m3 / s, and the reaction rate constant is 0.6 s-1. Calculate the reactor volume and free space time required to achieve 90% conversion (inlet molar flow rate of A: 10 mol / hr).

c. What is the conversion realized in the reactor volume of 0.2 m3 and volumetric flow rate of 0.6 m3 / s for a liquid phase reaction that takes place in TKSR and has a 1st order reaction rate equation according to A? (Reaction rate constant: 1s-1)

Expert Solution
Step 1

Given data:

Volume of reactor = 100 dm3

Initial concentration of A = 0.01 mol/ dm3

Conversion of A = 70 %

Step 2

(a). (i)

The elemental reaction is,

AR +S

It is also given that the reaction is liquid phase reaction, therefore the system is CVRS(constant volume reaction system).

-rA = k

The value of k = 0.05mol/h·dm3

From the unit of rate constant it is concluded that the reaction is of zero order.

Therefore the rate of reaction becomes,

-rA = 0.05 molh·dm3

Step 3

(ii)

The rate of reaction is,

-rA = kCA

k = 0.05 h–1

From the unit of rate of reaction, it is concluded that the reaction is of first order.

for CVRS,CA =CA01-xA

Therefore the value of rate of reaction becomes,

-rA = 0.05 h-1 ×0.01 moldm3 1-0.7         = 0.00015 moldm3·h

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