Chemical Engineering
GATE CH format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 101–110 of 378. Imported answers require independent review unless marked reviewed.
Question 36
Open questionCHMCQ2 marksNeeds review
Consider a steady, fully-developed, uni-directional laminar flow of an incompressible Newtonian fluid (viscosity
) between two infinitely long horizontal plates separated by a distance
as shown in the figure. The flow is driven by the combined action of a pressure gradient and the motion of the bottom plate at
in the negative
direction. Given that
, where
and
are the pressures at two
locations separated by a distance
. The bottom plate has a velocity of magnitude
with respect to the stationary top plate at
. Which one of the following represents the
-component of the fluid velocity vector? 
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Open questionCHMCQ2 marksNeeds review
The temperatures of two large parallel plates of equal emissivity are 900 K and 300 K. A reflection radiation shield of low emissivity and negligible conductive resistance is placed parallel between them. The steady-state temperature of the shield, in K, is
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Open questionCHMCQ2 marksNeeds review
Hot oil at 110 °C heats water from 30 °C to 70 °C in a counter-current double-pipe heat exchanger. The flow rates of water and oil are 50 kg min
and 100 kg min
, respectively and their specific heat capacities are 4.2 kJ kg
°C
and 2.0 kJ kg
°C
, respectively. Assume the heat exchanger is at steady state. If the overall heat transfer coefficient is 200 W m
°C
, the heat transfer area in m
isYour answerChoose one option.
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Open questionCHMCQ2 marksNeeds review
A solid slab of thickness
is initially at a uniform temperature
. At time
, the temperature of the top surface at
is increased to
, while the bottom surface at
is maintained at
for
. Assume heat transfer occurs only in the
-direction, and all thermal properties of the slab are constant. The time required for the temperature at
to reach 99% of its final steady value is
. If the thickness of the slab is doubled to
, and the time required for the temperature at
to reach 99% of its final steady value is
, then
isYour answerChoose one option.
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Open questionCHMCQ2 marksNeeds review
A gas stream containing 95 mol% CO
and 5 mol% ethanol is to be scrubbed with pure water in a counter-current, isothermal absorption column to remove ethanol. The desired composition of ethanol in the exit gas stream is 0.5 mol%. The equilibrium mole fraction of ethanol in the gas phase,
, is related to that in the liquid phase,
, as
. Assume CO
is insoluble in water and neglect evaporation of water. If the water flow rate is twice the minimum, the mole fraction of ethanol in the spent water isYour answerChoose one option.
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Open questionCHMCQ2 marksNeeds review
Sulfur dioxide (SO
) gas diffuses through a stagnant air-film of thickness 2 mm at 1 bar and 30 °C. The diffusion coefficient of SO
in air is
. The SO
partial pressures at the opposite sides of the film are 0.15 bar and 0.05 bar. The universal gas constant is 8.314 J mol
K
. Assume ideal gas behavior, the steady-state flux of SO
in mol m
s
through the air-film isYour answerChoose one option.
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Open questionCHMCQ2 marksNeeds review
A simple distillation column separates a binary mixture of
and
. The relative volatility of
with respect to
is 2. The steady-state composition of
in the vapour leaving the 1
, 2
and 3
trays in the rectifying section are 94, 90 and 85 mol%, respectively. For ideal trays and constant molar overflow, the reflux-to-distillate ratio isYour answerChoose one option.
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Open questionCHMCQ2 marksNeeds review
Alumina particles with an initial moisture content of 5 kg per kg dry solid are dried in a batch dryer. For the first two hours, the measured drying rate is constant at 2 kg m
h
. Thereafter, in the falling-rate period, the rate decreases linearly with the moisture content. The equilibrium moisture content is 0.05 kg per kg dry solid and the drying area of the particles is 0.5 m
per kg dry solid. The total drying time, in h, to reduce the moisture content to half its initial value isYour answerChoose one option.
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Open questionCHMCQ2 marksNeeds review
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
L
catalyst volume. At a bulk
concentration of 0.1 mol L
, the observed reaction rate, in mol s
L
catalyst volume, in a 6 mm diameter catalyst particle, isYour answerChoose one option.
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Open questionCHMCQ2 marksNeeds review
A first-order liquid phase reaction
is carried out in two isothermal plug flow reactors (PFRs) of volume 1 m
each, connected in series. The feed flow rate and concentration of
to the first reactor are 10 m
h
and 1 kmol m
, respectively. At steady-state, the concentration of
at the exit of the second reactor is 0.2 kmol m
. If the two PFRs are replaced by two equal-volume continuously stirred tank reactors (CSTRs) to achieve the same overall steady-state conversion, the volume of each CSTR, in m
, isYour answerChoose one option.
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