GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER-V (NEW) EXAMINATION - WINTER 2018
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Subject Code:2150403 Date:16/11/2018Subject Name:Basics 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.
Q.1 (a) Discuss the different ways in which rate of reaction can be defined. 03
(b) What do you understand by instantaneous fractional yield and overall 04
fraction yield of a product?
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(c) Write a short note on differential method and integral method of analysis 07of kinetic data.
Q.2 (a) Find the conversion for the reaction A — R, after 1 hour in a batch reactor. 03
-rA=3Ca mol/lit.hr, Cao = 1 mol/lit.
(b) Define and explain the following terms: 04
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1) Series reactions ii) Parallel reactionsiii) Molecularity iv) Rate constant
(c) Derive the Crmax and trmax for the first order reactions given below: 07
A—R—>S
OR
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(c) Find the overall order of the irreversible reaction, 072H2 +2NO — N2 +2H20
at 296 K from the following constant volume data using equimolar amount
of hydrogen and nitric oxide.
Total Pressure, mmHg 200 240 280 320 360
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Half life, sec 265 186 115 107 67Q.3 (a) Explain different types of ideal reactors. 03
(b) Explain the classification of reaction in details with examples. 04
(c) The rate constant of a reaction is measured at different temperatures is 07
reported below. Calculate the activation energy for this reaction.
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Temperature, K 273 293 303 313
Rate constant, k, | 2.46x 10-3 | 47.5 x 10-3 | 576 x 10-3 | 5480 x 10-3
sec-1
OR
Q.3 (a) Write a brief note on variable volume batch reactor. 03
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(b) Consider a feed Cao = 200, Cbo = 200, Cio = 100 (inert) to a steady flow 04reactor. The isothermal gas phase reaction is A + 3B — 6R. If CAo =40 at
the reactor exit, what is Cb, Xa and Xb there?
(c) Derive an expression to determine the kinetics by integral method for the 07
irreversible bi-molecular elementary reaction of 2nd order of the type
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2A — R, -ra = kCA2?Q.4 (a) Derive the performance equation of ideal batch reactor. 03
(b) Show that for a first order irreversible reaction In(1/(1 - xa)) = kt. 04
(c) For an irreversible reaction, the rate of formation of product has been found to be well correlated by
the following rate equation: rAG = kCB2, .... independent of CA.
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What reaction mechanism is suggested by this rate expression if thechemistry of the reaction suggests that the intermediate consists of an
association of reactant molecules and that a chain reaction does not occur?
OR
Q.4 (a) How mixing of different composition of fluid is the key to the formation 03
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of intermediate for irreversible reactions in series?(b) Liquid A decomposes by first order kinetics, and in a batch reactor 50% 04
of A is converted in 5 minutes. How long it will take to reach 75%
conversion?
(c) Write a brief note on variable volume batch reactor. 07
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Q.5 (a) Derive the performance equation of ideal plug flow reactor (PFR). 03
(b) Write a short note on optimum temperature progression. 04
(c) Define autocatalytic reactions. Derive an expression to find its kinetics. 07
Explain plots of rate of reaction Vs. time and concentration Vs. time
OR
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Q.5 (a) Explain the size comparison of single ideal CSTR with PFR and mention 03the different parameter affecting the sizes of the reactor.
(b) Define recycle ratio. Derive the design equation of Recycle reactor. 04
(c) Explain the qualitative distribution for irreversible first order 07
reactions A—>R—>S in series.
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