Consider the following system of gas phase reactions at 27 °C and 4 atm pressure. k₁ = 0.3 min-1 r₁ = k₁(CA); r₂ = K₂ (CA¹/2); 13 = K3 (C₁²); K₂ = 0.004 (mol¹/² dm-3/2)min-¹ k3 = 0.25 (dm³/mol)min A → B; A → X; A → Y;

Applications and Investigations in Earth Science (9th Edition)
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Chapter1: The Study Of Minerals
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3. Fogler P8-4 (Fifth edition)
Consider the following system of gas phase reactions at 27 °C and 4 atm pressure.
r₁ = k₁(C₁);
k₁ = 0.3 min-1
r₂ = k₂ (C₁²¹/²);
k₂ = 0.004 (mol¹/² dm¯³/²)min¯¹
0.25 (dm3³ /mol)min
13 = K3 (C₁²);
k3
A → B;
A → X;
A → Y;
=
B is the desired product, while X and Y are impurities, which are expensive to remove.
Pure A enters the reactor with a volumetric flow rate of 10 dm³/min.
a) Sketch the instantaneous selectivities (SB/X, SB/Y, and SB/XY) as a function of CA
b) What is the reactor volume, effluent concentrations, and conversion of A after first
reactor if a series of reactors is considered.
c)
If E₁ =20,000 cal/mol, E2 = 10,000 cal/mol, and E3 = 30,000 cal/mol, what
temperature would you recommend for a single CSTR with a space-time of 10 min
and CAO = 0.1 mol/dm³
Transcribed Image Text:3. Fogler P8-4 (Fifth edition) Consider the following system of gas phase reactions at 27 °C and 4 atm pressure. r₁ = k₁(C₁); k₁ = 0.3 min-1 r₂ = k₂ (C₁²¹/²); k₂ = 0.004 (mol¹/² dm¯³/²)min¯¹ 0.25 (dm3³ /mol)min 13 = K3 (C₁²); k3 A → B; A → X; A → Y; = B is the desired product, while X and Y are impurities, which are expensive to remove. Pure A enters the reactor with a volumetric flow rate of 10 dm³/min. a) Sketch the instantaneous selectivities (SB/X, SB/Y, and SB/XY) as a function of CA b) What is the reactor volume, effluent concentrations, and conversion of A after first reactor if a series of reactors is considered. c) If E₁ =20,000 cal/mol, E2 = 10,000 cal/mol, and E3 = 30,000 cal/mol, what temperature would you recommend for a single CSTR with a space-time of 10 min and CAO = 0.1 mol/dm³
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