CH E
HW 4 S_corrected

# HW 4 S_corrected - HW 4 Problem 1 1 A homogeneous gas-phase...

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HW 4 Problem 1 1. A homogeneous gas-phase reaction A 3R has a reported rate expression at 215 C -r A = 10 -2 C A ½ [mol/Liter sec] Find the space-time (V R /v 0 ) needed to reach 80% conversion (X A ) of a 50% A-50% inert feed to a plug flow reactor (PFR) operating at 215 C and 5 atm (C Ao = 0.0625 mol/Liter).

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Problem 2

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Problem 3 A gaseous feed of pure A (1 mol/Liter) enters a CSTR mixed flow reactor (2 Liters) and reacts as follows: 2A R -r A = 0.05 C A 2 [mol/Liter. Sec] Find what feed rate (v 0 ) (liter/min) will give an outlet concentration C A = 0.5 Mol/Liter. Problem 4 Gaseous reactant A decomposes as follows: A 3R -r A = (0.6 min -1 ) C A Find the conversion of A (X A ) in a 50% A-50% inert feed (v 0 = 180 liter/min, C Ao = 300 mmol/Liter) to a 1 m 3 CSTR mixed flow reactor. Vo = 180 L/min epsilon = (200 – 100)/(50+50) = 1 CA0 = 0.3 mol/L FA FA0-FA = r V FAo=54 mol/min 54 X = 0.6 * 0.3(1-X)/(1+X)*1000 Solve for X = 0.67

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Unformatted text preview: Problem 5 A 1 Liter/sec flow of a 20% ozone-80% air mixture passes through a plug flow reactor (PFR) at 1.5 atm and 93°C. Under these conditions ozone (O 3 ) decomposes by the following homogeneous reaction 20 3 30 2 , -r ozone = k C ozone 2 k = 0.05 [Liter/mol . sec] What reactor size is needed for 50% decomposition of ozone? Problem 6. For the first-order reaction A B on a CSTR, start from the CSTR design equation to derive the expression k = X/(1-X) – What assumptions are made? Obtain τ an equivalent equation for the second-order reaction 2A 5B (gas phase, feed is pure A). (a) F A0 X = k C A V So, v C A0 X = k C A0 (1-X) V Since V/v 0 = τ Then, X = k (1-X) τ And, X/(1-X) = k. τ (b) F A0 X = k C A 2 V = X = k C τ A0 (1-X) 2 / (1+1.5X) 2 So, X (1+1.5X) 2 = k C τ A0 (1-X) 2...
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