GUJARAT TECHNOLOGICAL UNIVERSITY
BE- SEMESTER-VII (NEW) EXAMINATION - WINTER 2020
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Subject Code:2173612 Date:28/01/2021
Subject Name:Fundamentals of Reaction Engineering
Time:10:30 AM TO 12:30 PM Total Marks: 56
Instructions:
- Attempt any FOUR questions out of EIGHT questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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MARKS
Q.1 (a) Explain the temperature dependent term of rate equation from Arrhenius law. 03
(b) Define and Explain, Rate and Molecularity of the reaction. 04
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(c) Consider a feed Cao=100, Co=200, Cio=100 to a steady flow reactor. The 07 isothermal gas phase reaction is A+3B—6R If Ca=40 at the reactor exit what is Cb, Xa, and Xb there? Notations have their conventional meanings.
Q.2 (a) On doubling the concentration of reactant, the rate of reaction triples. Find the 03 reaction order
(b) Explain the different types of reaction with proper example of each type. 04
(c) The aqueous reactions A — R+S proceeds as follows 07
Time, 0 36 65 100 160 8
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min
Ca, 0.1823 | 0.1453 0.1216 | 0.1025 0.0795 0.0494
mol/lt
With Cao= 0.1823 mol/lt, Cro= 0, Cso =55 mol/lt. Find the rate equation for this reaction
Q.3 (a) Milk is pasteurized if it is heated to 63 °C for 30 min, but if it is heated to 74 03 °C it only needs 15 s for the same result. Find the activation energy of this sterilization process.
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(b) The reaction between nitric oxide and oxygen 2 NO + O2 — 2 NO2 follows the rate 04 law d[O2] /dt=k [NO]² [O2] Suggest a reaction mechanism which is consistent with this rate law.
(c) Derive the integrated rate equation for zero order reaction for a variable volume 07 system.
Q.4 (a) Liquid A decomposes by second order kinetics, and in a batch reactor 50% 03 of A is converted in a 5 minute run. How much longer would it take to reach 75% conversion?
(b) How will you compare the performance of single batch reactor with the 04 flow reactor and mixed versus plug flow reactor for a first order reaction?
(c) What are the different types of ideal reactors? Derive the performance 07 equation of steady state mixed flow reactor.
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Q.5 (a) Explain the significance of space time and space velocity 03
(b) Derive the performance equation of the plug flow reactor. 04
(c) A homogenous gas reaction A 3R has a reported rate at 215 °C 07 -rA= 10?² Ca [ mol/lit sec]
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Find the space time needed for 80% conversion of a 50% A-50% inert feed to a plug flow reactor operating at 215 °C and 5 atm (Ca0=0.0625 mol/liter).
Q.6 (a) Explain differential method of analysis to find kinetics of any reaction of n? 03 order.
(b) Define autocatalytic reactions. Derive an expression to find its kinetics. 04
(c) An irreversible bimolecular type reaction A+B—P is taking place in a 07 constant volume batch reactor. Derive an expression for estimating conversion at any time ‘t’.
Q.7 (a) Derive an expression to find kinetics of 1? order reaction taking place in a 03 variable volume batch reactor.
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(b) How mixing of different composition of fluid is the key to the formation of 04 intermediate for irreversible reactions in series? Discuss in detail the qualitative product distribution for series reaction.
(c) Derive the Crmax for the reaction first order followed by zero-order reaction 07 for
A-K1 R—K2 S
Q.8 (a) Derive the performance equation-of the Batch reactor. 03
(b) Derive an equation of equal size mixed flow reactors connected in series for 04 first order reaction
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(c) What do you understand by instantaneous fractional yield and overall 07 fraction yield of a product? Give different contacting patterns for different concentration of reactant.
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