Chemical Engineering
GATE CH kind:question PYQs
Build your understanding with focused practice from past exam papers.
Questions 251–260 of 650. Imported answers require independent review unless marked reviewed.
Question 56
Open questionCHNAT2 marksNeeds review
Partially saturated air at 1 bar and 50 °C is contacted with water in an adiabatic saturator. The air is cooled and humidified to saturation, and exits at 25 °C with an absolute humidity of 0.02 kg water per kg dry air. Use latent heat of vaporization of water as 2450 kJ·kg
, and average specific heat capacity for dry air and water, respectively as 1.0 kJ·kg
·K
and 4.18 kJ·kg
·K
. If the absolute humidity of air entering the adiabatic saturator is
kg water per kg dry air, the value of
is __________ (rounded off to two decimal places).Log in to check the answer
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Open questionCHNAT2 marksNeeds review
Distillation of a non-reactive binary mixture with components
and
is carried out in a batch still as shown in the figure below. The initial charge of the mixture in the still is 1 kmol. The initial and final amounts of
in the still are 0.1 kmol and 0.01 kmol, respectively. Use a constant relative volatility of 4.5. The mole fraction of
remaining in the vessel is ______ (rounded off to three decimal places). 
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Open questionCHNAT2 marksNeeds review
Fresh catalyst is loaded into a reactor before the start of the following catalytic reaction:
The catalyst gets deactivated over time. The instantaneous activity
, at time
, is defined as the ratio of the rate of the reaction
(mol·(g cat)
·hr
) to the rate of reaction with fresh catalyst. Controlled experimental measurements led to an empirical correlation
where
is in hours. The activity of the catalyst at
hr is ______ (rounded off to one decimal place).Log in to check the answer
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Open questionCHNAT2 marksNeeds review
A unimolecular, irreversible liquid-phase reaction
was carried out in an ideal batch reactor at temperature
. The rate of the reaction (
) measured at different conversions
is given in the table below. This reaction is also carried out in an ideal continuous stirred tank reactor (CSTR) at the same temperature
with a feed concentration of 1 mol m
, under steady-state conditions. For a conversion of 0.8, the space time (in s) of the CSTR is ______ (in integer).Log in to check the answer
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Open questionCHNAT2 marksNeeds review
An irreversible liquid-phase second-order reaction
with rate constant
liter·mol
·min
, is carried out in an isothermal non-ideal reactor. A tracer experiment conducted on this reactor resulted in a residence time distribution (
-curve) as shown in the figure below. The areas of the rectangles (i), (ii) and (iii) are equal. Pure
at a concentration of 1.5 mol·liter
is fed to the reactor. The segregated model mimics the nonideality of the reactor. The percentage conversion of
at the exit of the reactor is _____ (rounded off to the nearest integer). 
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Open questionCHNAT2 marksNeeds review
The outlet concentration
of a plug flow reactor (PFR) is controlled by manipulating the inlet concentration
. The following transfer function describes the dynamics of this PFR.
In the above equation,
m
,
m
min
and
min
. The measurement and valve transfer functions are both equal to 1. The ultimate gain, defined as the proportional controller gain that produces sustained oscillations, for this system is _____ (rounded off to one decimal place).Log in to check the answer
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Open questionCHNAT2 marksNeeds review
The transfer function of a measuring instrument is
At time
, a step change of +1 unit is introduced in the input of this instrument. The time taken by the instrument to show an increase of 1 unit in its output is _____ (rounded off to two decimal places).Log in to check the answer
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Open questionCHNAT2 marksNeeds review
A design engineer needs to purchase a membrane module (M) for a plant. Details about the two available options, M1 and M2, are given in the table below. The overall plant has an expected life of 7 years. If the interest rate is 8% per annum, compounded annually, the difference in the net present value (NPV) of these two options, in lakhs of rupees, is _____ (rounded off to one decimal place).
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Open questionCHNAT2 marksNeeds review
The purchase cost of a new distillation column is Rs. 10 lakhs with an installation factor of 5.8. The cost of the capital is to be annualized over a period of 6 years at a fixed rate of interest of 5 % per annum, compounded annually. The annual cost (in lakhs of rupees) of the installed capital is ______ (rounded off to one decimal place).
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Open questionCHNAT2 marksNeeds review
Pumps
and
are being considered for purchase in a chemical plant. Cost details for these two pumps are given in the table below. The interest rate is 10 % per annum, compounded annually. For both the pumps to have the same capitalized cost, the salvage value (in Rs.) of pump B should be _____ (rounded off to the nearest integer).Log in to check the answer
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