GATE CH format:nat PYQs & Answers — Page 7

Questions 61–70 of 252. Imported answers require independent review unless marked reviewed.

Topic practice 252 questionsPage 7 of 26

A metallic spherical particle of density 7001 kg m

and diameter 1 mm is settling steadily due to gravity in a stagnant gas of density 1 kg m

and viscosity 10

kg m

. Take

m s

. Assume that the settling occurs in the regime where the drag coefficient

is independent of the Reynolds number, and equals 0.44. The terminal settling velocity of the particle, in m s

, rounded off to 2 decimal places, is ____

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Water of density 1000 kg m

is pumped at a volumetric flow rate of

through a pipe of inner diameter 10 cm and length 100 m, from a large Reservoir 1 to another large Reservoir 2 at a height 50 m above Reservoir 1, as shown in the figure. The flow in the pipe is in the turbulent regime with a Darcy friction factor

, and a kinetic energy correction factor

. Take

m s

. If all minor losses are negligible, and the pump efficiency is 100%, the pump power, in kW, rounded off to 2 decimal places, is ____

Diagram for Chemical Engineering question 59

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A Venturi meter with a throat diameter

cm measures the flow rate in a pipe of diameter

cm, as shown in the figure. A U-tube manometer is connected to measure the pressure drop. Assume the discharge coefficient is independent of the Reynolds number and geometric ratios. If the volumetric flow rate through the pipe is doubled

, the corresponding ratio of the manometer readings

, rounded off to the nearest integer, is _______

Diagram for Chemical Engineering question 60

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Heat is available at a rate of 2 kW from a thermal reservoir at 400 K. A two-stage process harnesses this heat to produce power. Stages 1 and 2 reject heat at 360 K and 300 K, respectively. Stage 2 is driven by the heat rejected by Stage 1. If the overall process efficiency is 50% of the corresponding Carnot efficiency, the power delivered by the process, in kW, rounded off to 2 decimal places, is _____

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A chemostat with cell recycle is shown in the figure. The feed flow rate and culture volume are

L h

and

L, respectively. The glucose concentration in the feed

g L

. Assume Monod kinetics with specific cell growth rate

, where

and

g L

. Assume maintenance and death rates to be zero, input feed to be sterile (

) and steady-state operation. The glucose concentration in the recycle stream,

, in g L

, rounded off to 1 decimal place, is ________

Diagram for Chemical Engineering question 62

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Consider the surge drum in the figure. Initially the system is at steady-state with a hold-up

, which is 50% of full tank capacity,

, and volumetric flow rates

. The high hold-up alarm limit

while the low hold-up alarm limit

. A proportional (P-only) controller manipulates the outflow to regulate the hold-up

. At

increases as a step from

. Assume linear control valves and instantaneous valve dynamics. Let

be the minimum controller gain that ensures

never exceeds

. The value of

, in

, rounded off to 2 decimal places, is ________

Diagram for Chemical Engineering question 63

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A PD controller with transfer function

is used to stabilize an open-loop unstable process with transfer function

, where

and time is in minutes. From the necessary conditions for closed-loop stability, the maximum feasible value of

, in minutes, rounded off to 1 decimal place, is __________

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Consider a tray-column of diameter 120 cm. Each downcomer has a cross-sectional area of 75 cm². For a tray, the percentage column cross-sectional area not available for vapour flow due to the downcomers, rounded off to 1 decimal place, is __________

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The position

of a particle, at constant

, is described by the equation

The initial conditions are

and

. The position of the particle at

is __________ (in integer).

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Burning of methane in a combustor yields carbon monoxide, carbon dioxide, and water vapor. Methane is fed to the combustor at 100 mol·hr

, of which 50 % reacts. The theoretical oxygen requirement (in mol·hr

) is ________ (rounded off to one decimal place).

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GATE CH format:nat PYQs

Question 58

Question 59

Question 60

Question 61

Question 62

Question 63

Question 64

Question 65

Question 31

Question 32