GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- VII (New) EXAMINATION - WINTER 2019
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Subject Code: 2173612 Date: 30/11/2019Subject Name: Fundamentals of Reaction Engineering
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
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2. Make suitable assumptions wherever necessary.3. Figures to the right indicate full marks.
MARKS
Q.1 (a) Explain the temperature dependent term of rate equation from Arrhenius law. 03
(b) The half-life period of a reaction of the first order is 2500 second. How long will 04
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it take for 1/4 of the reactant to be left behind?(c) Explain the classification of reaction with proper example of each type. 07
Q.2 (a) On doubling the concentration of reactant, the rate of reaction triples. Find the 03
reaction order
(b) Derive the integrated form of rate expression for Irreversible bimolecular type 04
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First order reactions.(c) Show that decomposition of N2Os at 67 °C is a first order reaction. Calculate the 07
value of rate constant
Time, min 0 1 2 3 4
C (N20s) mol/l | 0.16 | 0.113 | 0.08 | 0.056 | 0.04
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OR(c) The elementary II-order liquid phase reaction A + B > C + D is conducted 07
isothermally in PFR. The volumetric flow rate is 10 m3/hr and Cao = Cbo = 2
mol/m®. Find out the volume of PFR needed to achieve 50% conversion of A.
Take the value of rate constant K =5 m3/mol.hr.
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Q.3 (a) Derive the integrated rate equation for zero order reaction for a variable volume 03
system.
(b) Discuss Differential method for analysis of rate data. 04
(c) This reaction is carried out at 422.2 K at a total pressure of 10 atm with 50% A 07
and remaining 50% inerts. If volumetric feed rate is 6 dm?/sec. Calculate the
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volume necessary to achieve a conversion level of 80% in a CSTR. Conversion, X 0 0.2 0.4 0.6 0.8
-rA (mol/dm>S) | 0.0053 | 0.005 | 0.004 | 0.0025 | 0.00125
OR
Q.3 (a) Define and explain the Space time and space velocity for flow reactors. 03
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(b) Consider a gaseous feed Cao = 100, Cbo = 200 enters an isothermal reactor. For 04Xa = 0.8 find the Ca, Cb and Xs.
(c) Discuss with suitable sketches the different types of continuous reactor systems 07
used in process industries
Q.4 (a) Discuss the size comparison for mixed flow and plug flow reactor for first order 03
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and second order reactions.(b) Liquid A decomposes by first order kinetics in an isothermal batch reactor 50% 04
of A is converted in 300 sec, find the time required for the 75% conversion of A
in the same reactor.
(c) Prove that for a first order reaction N-CSTRs connected in series will approximate 07
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to the behavior of PFR.OR
Q.4 (a) What are the characteristics of Chemical equilibrium? 03
(b) Explain standard heat of formation, standard heat of combustion and standard heat 04
of reaction
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(c) Enzyme E catalyzed the fermentation of substrate A to product R find the size of 07the MFR for 95% conversion of reactant, in a feed stream of 25 lit/min of reactant
(2 mol/lit), and enzyme kinetics is
—rA= 0.1 Ca/(1+0.5Ca)
Q.5 (a) Write a short note on Optimum temperature progression? 03
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(b) Explain the effect of temperature on equilibrium conversion as predicted by 04thermodynamics by keeping pressure fixed.
(c) Synthesize a rate law for the decomposition of Cumene to form benzene and 07
propylene considering that surface reaction is rate limiting.
OR
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Q.5 (a) Write a short note on classification of Catalysts. 03
(b) Explain the role of modifier, promoter and inhibitor in a catalytic reaction. 04
(c) With the help of a sketch mention the seven steps involved in a catalytic reaction. 07
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