GATE CH topic:process-engineering PYQs & Answers — Page 30

Questions 291–300 of 650. Imported answers require independent review unless marked reviewed.

Consider steady-state diffusion in a binary

liquid at constant temperature and pressure. The mole-fraction of

at two different locations is 0.8 and 0.1. Let

be the diffusive flux of

calculated assuming

to be non-diffusing, and

be the diffusive flux of

calculated assuming equimolar counter-diffusion. The quantity

is__________ (rounded off to one decimal place).

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Consider interphase mass transfer of a species

between two immiscible liquids

and

. The interfacial mass transfer coefficient of

in liquid

is twice of that in liquid

. The equilibrium distribution of

between the liquids is given by

, where

and

are the mole-fractions of

and

, respectively. The bulk phase mole-fraction of

and

is 0.10 and 0.02, respectively. If the steady-state flux of

is estimated to be 10 kmol h

, the mass transfer coefficient of

is ________ kmol h

(rounded off to one decimal place).

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A wet solid containing 20% (w/w) moisture (based on mass of bone-dry solid) is dried in a tray-dryer. The critical moisture content of the solid is 10% (w/w). The drying rate (kg m

) is constant for the first 4 hours, and then decreases linearly to half the initial value in the next 1 hour. At the end of 5 hours of drying, the percentage moisture content of the solid is ________% (w/w) (rounded off to one decimal place).

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A process described by the transfer function

is forced by a unit step input at time

. The output value immediately after the step input (at

) is ________ (rounded off to the nearest integer).

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A compressor with a life of 10 years costs Rs 10 lakhs. Its yearly operating cost is Rs 0.5 lakh. If the annual compound interest rate is 8%, the amount needed at present to fund perpetual operation of the compressor is Rs ________ lakhs (rounded to first decimal place).

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The partial differential equation

where,

and

, is subjected to the following initial and boundary conditions:

The value of

at which

Your answerChoose one option.

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moles of an ideal gas undergo a two-step process as shown in the figure. Let

and

denote the pressure, volume and temperature of the gas, respectively. The gas, initially at state-1 (

), undergoes an isochoric (constant volume) process to reach state-A, and then undergoes an isobaric (constant pressure) expansion to reach state-2 (

). For an ideal gas,

, where

and

are the heat capacities at constant pressure and constant volume, respectively, and are assumed to be temperature independent. The heat gained by the gas in the two-step process is given by

Diagram for Chemical Engineering question 37

Your answerChoose one option.

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A horizontal cylindrical water jet of diameter

cm strikes a vertical solid plate with a hole of diameter

cm, as shown in the figure. A part of the jet passes through the hole and the rest is deflected along the plate. The density of water is 100 kg m

. If the speed of the jet is 20 m s

, the magnitude of the horizontal force, in N, required to hold the plate stationary is

Diagram for Chemical Engineering question 38

Your answerChoose one option.

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Consider a horizontal rod of radius

(

) in a stationary pipe of radius

. The rod is pulled coaxially at a constant velocity

as shown in the figure. The annular region is filled with a Newtonian incompressible fluid of viscosity

. The steady state fully developed axial velocity profile in the fluid is given by

, where

is the radial coordinate. Ignoring end effects, the magnitude of the pulling force per unit rod length is

Diagram for Chemical Engineering question 39

Your answerChoose one option.

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Consider a bare long copper wire of 1 mm diameter. Its surface temperature is

and the ambient temperature is

(

). The wire is to be coated with a 2 mm thick insulation. The convective heat transfer coefficient is 20 W m

. Assume that

and

remain unchanged. To reduce heat loss from the wire, the maximum allowed thermal conductivity of the insulating material, in W m

, rounded off to two decimal places, is

Your answerChoose one option.

0.02

0.04

0.10

0.01

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GATE CH topic:process-engineering PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40