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**Tutorial 2 solutions Lecturer: Miss Anis Atikah Ahmad**

Tel:

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**Questions X 0.2 0.4 0.45 0.5 0.6 0.8 0.9 -rA (mol/dm3.min 1.0 1.67 5.0**

The exothermic reaction A--->B + C was carried out adiabatically and the following data recorded: The entering molar flow rate of A was 300 mol/min. (a) What are the PFR and CSTR volumes necessary to achieve 40 % conversion? (b) Over what range of conversions would the CSTR and PFR reactor volumes be identical? (c) What is the maximum conversion that can be achieved in a 105 dm3 CSTR? (d) What conversion can be achieved if a 72 dm3 PFR is followed in series by a 24 dm3 CSTR? (e) What conversion can be achieved if a 24 dm3 CSTR is followed in a series by a 72 dm3 PFR? (f) Plot the conversion and rate of reaction as a function of PFR reactor volume up to a volume of 100 dm3. X 0.2 0.4 0.45 0.5 0.6 0.8 0.9 -rA (mol/dm3.min 1.0 1.67 5.0 1.25 0.91

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Part (A) What are the PFR and CSTR volumes necessary to achieve 40 % conversion? PFR Volume: Using Simpson One-Third Rule; Recall Simpson One-Third Rule Formula:

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**Part (A) X 0.2 0.4 0.45 0.5 0.6 0.8 0.9 -rA (mol/dm3.min) 1.0 1.67 5.0**

0.2 0.4 0.45 0.5 0.6 0.8 0.9 -rA (mol/dm3.min) 1.0 1.67 5.0 1.25 0.91 FA0/-rA (dm3) 300 180 60 240 330 Levelspiel Plot VPFR

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**Part (a) CSTR Volume: Substituting the value of FA0/–rA at X=0.4;**

VCSTR Levelspiel Plot

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**The volume of both reactors are identical at X=0.4-0.6,**

Part (B) Over what range of conversions would the CSTR and PFR reactor volumes be identical? From Levelspiel Plot; The volume of both reactors are identical at X= ,

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**Using Simpson One-Third Rule**

Part (B) Over what range of conversions would the CSTR and PFR reactor volumes be identical? Proving by calculation; Volume of PFR Using Simpson One-Third Rule Volume of CSTR

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Part (c) What is the maximum conversion that can be achieved in a 105 dm3 CSTR? By trial and error, calculate what is X that gives a CSTR volume of 105 dm3 Trial 1: X=0.6, Trial 2: X=0.8, Trial 3: X=0.7, X=0.7 The max conversion can be achieved in 105 dm3 of CSTR is 0.7

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**Now, we know that the conversion must be between 0.6-0.7.**

Part (d) What conversion can be achieved if a 72 dm3 PFR is followed in series by a 24 dm3 CSTR? FA0=300 mol/dm3 X1=0.4 From part (a) VPFR=72 dm3 VCSTR=24 dm3 By trial and error, calculate what is X2 that gives a CSTR volume of 24 dm3 Trial 1: X=0.6, Trial 2: X=0.7, X2=? Now, we know that the conversion must be between

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Part (d) What conversion can be achieved if a 72 dm3 PFR is followed in series by a 24 dm3 CSTR? FA0=300 mol/dm3 X1=0.4 VPFR=72 dm3 VCSTR=24 dm3 Trial 3: X=0.64, X2=? X=0.64 X=0.64 can be achieved if a 72 dm3 PFR is followed in series by a 24 dm3 CSTR.

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Part (e) What conversion can be achieved if a 24 dm3 CSTR is followed in a series by a 72 dm3 PFR? FA0=300 mol/dm3 From part (a) VCSTR=24 dm3 X1=0.4 VPFR=72 dm3 X2=? By trial and error, calculate what is X2 that gives a PFR volume of 72 dm3 Trial 1: X=0.8,

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Part (e) What conversion can be achieved if a 24 dm3 CSTR is followed in a series by a 72 dm3 PFR? FA0=300 mol/dm3 VCSTR=24 dm3 X1=0.4 VPFR=72 dm3 X2=? By trial and error, calculate what is X2 that gives a PFR volume of 72 dm3 Trial 2: X=0.9,

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Part (e) What conversion can be achieved if a 24 dm3 CSTR is followed in a series by a 72 dm3 PFR? Trial 3: X=0.91, X=0.91 can be achieved if a 24 dm3 CSTR is followed in a series by a 72 dm3 PFR

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Part (f) Plot the conversion and rate of reaction as a function of PFR reactor volume up to a volume of 100 dm3? X 0.2 0.4 0.45 0.5 0.6 0.8 0.9 -rA (mol/dm3.min) 1.0 1.67 5.0 1.25 0.91 FA0/-rA (dm3) 300 180 60 240 330 VPFR (dm3) 48 72 76.5 80 84 104 130.5

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Part (f) Plot the conversion and rate of reaction as a function of PFR reactor volume up to a volume of 100 dm3?

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THANK YOU

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