Questions 101–110 of 378. Imported answers require independent review unless marked reviewed.

Topic practice 378 questionsPage 11 of 38

Question 36

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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?
Diagram for Chemical Engineering question 36

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Question 37

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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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Question 38

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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

is
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Question 39

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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

is
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Question 40

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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 is
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Question 41

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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 is
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Question 42

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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 is
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Question 43

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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 is
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Question 44

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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

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, is
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Question 45

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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

, is
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