Chemical Engineering
GATE CH topic:chemical-reaction-engineering PYQs
Build your understanding with focused practice from past exam papers.
Questions 31–40 of 70. Imported answers require independent review unless marked reviewed.
Question 62
Open questionCHNAT2 marksNeeds review
Consider the process in the figure. The liquid phase elementary reactions
occur in the continuous stirred tank reactor (CSTR), where
is the mole fraction of the
component (
) in the CSTR. It is given that
. All process feed, process exit and recycle streams are pure. At steady state, the net generation rate of the undesired product,
, in the CSTR is zero.
is varied at constant reactor temperature, the reactor volume is adjusted to maintain a constant single-pass conversion of
. For a fixed product rate and 90% conversion of
in the reactor, the value of
that minimizes the sum of the molar flow rates of the A and S recycle streams is ______ (round off to one decimal place). 
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Open questionCHNAT2 marksNeeds review
An elementary irreversible liquid-phase reaction,
, is carried out under isothermal conditions in a
ideal plug flow reactor (PFR) as shown in the figure. The volumetric flow rate of fresh A,
and its concentration
. For a recycle ratio
, the conversion of A at location 2 with respect to the fresh feed (location 1) is 50%. For
, the corresponding conversion of A is _______% (rounded off to one decimal place). 
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Open questionCHNAT2 marksNeeds review
An elementary irreversible gas-phase reaction,
, is carried out at fixed temperature and pressure in two separate ideal reactors: (i) a
plug flow reactor (PFR), (ii) a
continuous-stirred tank reactor (CSTR). If pure A is fed at
to the PFR operating at 400 K, the conversion is 80%. If a mixture of 50 mol% of A and 50 mol% of an inert is fed at
to the CSTR operating at 425 K, the conversion is 80%. The universal gas constant
. Assuming the Arrhenius rate law, the estimated activation energy is _______
(rounded off to one decimal place).Log in to check the answer
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Open questionCHNAT2 marksNeeds review
An elementary irreversible liquid-phase reaction,
, where the rate constant
, takes place in an isothermal non-ideal reactor. The E-curve in a tracer experiment is shown in the figure. Pure P (
) is fed to the reactor. Using the segregated model, the percentage conversion of P at the exit of the reactor is _______% (rounded off to the nearest integer). 
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Open questionCHMCQ1 markNeeds review
Ethylene adsorbs on the vacant active sites V of a transition metal catalyst according to the following mechanism.

If
,
and
denote the total number of active sites, number of vacant active sites and number of adsorbed C₂H₄ molecules, respectively, the balance on the total number of active sites is given byYour answerChoose one option.
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Open questionCHNAT1 markNeeds review
The following homogeneous liquid phase reactions are at equilibrium.

The values of rate constants are given by:
,
,
,
,
.The value of rate constant
is __________
(round off to 1 decimal place).Log in to check the answer
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Open questionCHNAT2 marksNeeds review
The following isothermal autocatalytic reaction,
is carried out in an ideal continuous stirred tank reactor (CSTR) operating at steady state. Pure A at 1 mol L
is fed, and 90% of A is converted in the CSTR. The space time of the CSTR is ________ seconds.Log in to check the answer
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Open questionCHNAT2 marksNeeds review
Reactant A decomposes to products B and C in the presence of an enzyme in a well-stirred batch reactor. The kinetic rate expression is given by
If the initial concentration of A is 0.02 mol L
, the time taken to achieve 50% conversion of A is ________ min (round off to 2 decimal places).Log in to check the answer
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Open questionCHNAT2 marksNeeds review
The following homogeneous, irreversible reaction involving ideal gases,
is carried out in a steady state ideal plug flow reactor (PFR) operating at isothermal and isobaric conditions. The feed stream consists of pure A, entering at 2 m s
.In order to achieve 50% conversion of A, the required length of the PFR is ________ meter (round off to 2 decimal places).
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Open questionCHMCQ1 markNeeds review
In a laboratory experiment, a unit pulse input of tracer is given to an ideal plug flow reactor operating at steady state with a recycle ratio,
. The exit age distribution,
, of the tracer at the outlet of the reactor is measured. The first four pulses observed at
,
,
, and
are shown below.

In addition, use the following data and assumptions:
is defined as ratio of the volume of fluid returned to the entrance of the reactor to the volume leaving the systemNo reaction occurs in the reactor
Ignore any dead volume in the recycle loop
If the space time of the plug flow reactor is
seconds, which one of the following is correct?Your answerChoose one option.
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