GATE CH Chemical Reaction Engineering PYQs & Answers — Page 2

Questions 11–20 of 70. Imported answers require independent review unless marked reviewed.

The residence-time distribution (RTD) function of a reactor (in min

) is

The mean residence time of the reactor is ____ min (rounded off to 2 decimal places).

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The first-order irreversible liquid phase reaction

occurs inside a constant volume (

) isothermal CSTR with the initial steady state conditions shown in the figure. The gain, in

, of the transfer function relating the reactor effluent

concentration,

, to the inlet flow rate,

, is

Diagram for Chemical Engineering question 39

Your answerChoose one option.

1.2

0.4

0.6

0.8

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A zero-order gas phase reaction

with rate

mol/(L min) is carried out in a mixed flow reactor of volume 1 L. Pure A is fed to the reactor at a rate of 1 mol/min. At time

, the outlet flow is stopped while the inlet flow rate and reactor temperature remain unchanged. Assume that the reactor was operating under steady state before the flow was stopped (

). The rate of consumption of

, in mol/(L min), at

min is

Your answerChoose one option.

63.2

36.8

90.6

99.0

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The reaction

with reaction rate,

, occurs in an isothermal PFR operating at steady state. The conversion (

) at two axial locations (1 and 2) of the PFR is shown in the figure.

Diagram for Chemical Engineering question 58

The value of

is ____ (rounded off to 2 decimal places).

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The catalytic gas phase reaction

is carried out in an isothermal batch reactor of 10 L volume using 0.1 kg of a solid catalyst. The reaction is first-order with

where

and

is the concentration of

in mol/L.

The catalyst activity

undergoes first order decay with rate constant

per hour and

The reactant conversion after 1 day of operation is ____ (rounded off to 2 decimal places).

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Consider the flowsheet in the figure for manufacturing

via the reaction

in an isothermal CSTR. The split in the separator is perfect so that the recycle stream is free of

and the product stream is pure

. Let

denote the mole fraction of species

(

) in the CSTR, which is operated in excess

with

. The reaction is first-order in

with the reaction rate

, where

kmol/(m

h).

Diagram for Chemical Engineering question 64

The reactor volume

in m

is to be optimized to minimize the cost objective

, where

is the recycle rate in kmol/h. For a product rate

kmol/h, the optimum value of

is ____ m

(rounded off to the nearest integer).

GIVEN:

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The ratio of the activation energy of a chemical reaction to the universal gas constant is 1000 K. The temperature-dependence of the reaction rate constant follows the collision theory. The ratio of the rate constant at 600 K to that at 400 K is

Your answerChoose one option.

2.818

4.323

1.502

1.000

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The rate of a reaction

is 0.2 mol m

at a particular concentration

. The rate constant of the reaction at a given temperature is 0.1 m

mol

. If the reactant concentration is increased to

at the same temperature, the reaction rate, in mol m

, is

Your answerChoose one option.

100

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Two parallel first-order liquid phase reactions

and

are carried out in a well-mixed isothermal batch reactor. The initial concentration of A in the reactor is 1 kmol m

, while that of B and C is zero. After 2 hours, the concentration of A reduces to half its initial value, and the concentration of B is twice that of C. The rate constants

and

, in h

, are, respectively

Your answerChoose one option.

0.40, 0.20

0.23, 0.12

0.50, 0.25

0.36, 0.18

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A first-order heterogeneous reaction

is carried out using a porous spherical catalyst. Assume isothermal conditions, and that intraphase diffusion controls the reaction rate. At a bulk

concentration of 0.3 mol L

, the observed reaction rate in a 3 mm diameter catalyst particle is 0.2 mol s

catalyst volume. At a bulk

concentration of 0.1 mol L

, the observed reaction rate, in mol s

catalyst volume, in a 6 mm diameter catalyst particle, is

Your answerChoose one option.

0.011

0.033

0.022

0.005

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GATE CH Chemical Reaction Engineering PYQs

Question 35

Question 39

Question 42

Question 58

Question 59

Question 64

Question 19

Question 20

Question 21

Question 44