GATE CH year:2021 PYQs & Answers — Page 4

Questions 31–40 of 65. Imported answers require independent review unless marked reviewed.

The van der Waals equation of state is given by

where

and

represent reduced pressure, reduced temperature and reduced molar volume, respectively. The compressibility factor at critical point (

) is 3/8.

and

, then the compressibility factor based on the van der Waals equation of state is __________ (round off to 2 decimal places).

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Consider a steady flow of an incompressible, Newtonian fluid through a smooth circular pipe. Let

and

denote the kinetic energy correction factors for laminar and turbulent flow through the pipe, respectively. For turbulent flow through the pipe

Here,

is the average velocity,

is the centerline velocity, and

is a parameter. The ratio of average velocity to the centerline velocity for turbulent flow through the pipe is given by

For

, the value of

is __________ (round off to 2 decimal places).

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The molar heat capacity at constant pressure

(in J mol⁻¹ K⁻¹) for n-pentane as a function of temperature (T in K) is given by

At 100 K, the rate of change of molar entropy of n-pentane with respect to temperature at constant pressure is __________ J mol⁻¹ K⁻² (round off to 2 decimal places).

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The following homogeneous liquid phase reactions are at equilibrium.

Diagram for Chemical Engineering question 24

The values of rate constants are given by:

The value of rate constant

is __________

(round off to 1 decimal place).

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A company invests in a recovery unit to separate valuable metals from effluent streams. The total initial capital investment of this unit is Rs. 10 lakhs. The recovered metals are worth Rs. 4 lakhs per year. If the annual return on this investment is 15%, the annual operating costs should be ______ lakhs of rupees (correct to 1 decimal place).

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Let

be a square matrix of size

(

). The elements of

are given by

The determinant of

Your answerChoose one option.

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Consider a fluid confined between two horizontal parallel plates and subjected to shear flow. In the first experiment, the plates are separated by a distance of 1 mm. It is found that a shear stress of 2 N m

has to be applied to keep the top plate moving with a velocity of 2 m s

, while the other plate is fixed. In the second experiment, the plates are separated by a distance of 0.25 mm. It is found that a shear stress of 3 N m

has to be applied to keep the top plate moving with a velocity of 1 m s

, while the other plate is fixed. In the range of shear rates studied, the rheological character of the fluid is

Your answerChoose one option.

Newtonian

Pseudoplastic

Dilatant

Ideal and inviscid

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Water of density 1000 kg m

flows in a horizontal pipe of 10 cm diameter at an average velocity of 0.5 m s

. The following plot shows the pressure measured at various distances from the pipe entrance.

Diagram for Chemical Engineering question 28

Using the data shown in the figure, the Fanning friction factor in the pipe when the flow is FULLY DEVELOPED is

Your answerChoose one option.

0.0012

0.0074

0.0082

0.0106

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In a solvent regeneration process, a gas is used to strip a solute from a liquid in a countercurrent packed tower operating under isothermal condition. Pure gas is used in this stripping operation. All solutions are dilute and Henry’s law,

, is applicable. Here,

is the mole fraction of the solute in the gas phase in equilibrium with the liquid phase of solute mole fraction

, and

is the Henry’s law constant. Let

be the mole fraction of the solute in the leaving liquid, and

be the mole fraction of solute in the entering liquid. When the value of the ratio of the liquid-to-gas molar flow rates is equal to

, the overall liquid phase Number of Transfer Units, NTU

, is given by

Your answerChoose one option.

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Which of these symbols can be found in piping and instrumentation diagrams?

Diagram for Chemical Engineering question 30

Your answerChoose one option.

(Q) and (S) only

(P), (Q) and (R) only

(P), (R) and (S) only

(P), (Q), (R) and (S)

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GATE CH year:2021 PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30