GATE CH exam:gate PYQs & Answers — Page 37

Questions 361–370 of 650. Imported answers require independent review unless marked reviewed.

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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It is required to control the volume of the contents in the jacketed reactor shown in the figure.

Diagram for Chemical Engineering question 31

Which one of the following schemes can be used for feedback control?

Your answerChoose one option.

Measure L101 and manipulate valve V-2

Measure T101 and manipulate valve V-1

Measure L101 and manipulate valve V-3

Measure F101 and manipulate valve V-1

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Which of the following is NOT a necessary condition for a process under closed-loop control to be stable?

Your answerChoose one option.

Dead-time term(s) must be absent in the open-loop transfer function

Roots of the characteristic equation must have negative real part

All the elements in the left (first) column of the Routh array must have the same sign

Open-loop transfer function must have an amplitude ratio less than 1 at the critical frequency

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Match the reaction in Group – 1 with the reaction type in Group – 2.

Group – 1	Group – 2
P: Methylcyclohexane → Toluene + 3H	I: Dehydrocyclization
Q: Ethylcyclopentane → Methylcyclohexane	II: Cracking
R: n-Octane → Ethylbenzene + 4H	III: Dehydrogenation
S: n-Octane → n-Pentane + Propylene	IV: Isomerization

The correct combination is:

Your answerChoose one option.

P – II, Q – III, R – I, S – IV

P – II, Q – IV, R – I, S – II

P – II, Q – IV, R – II, S – I

P – I, Q – IV, R – III, S – II

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To solve an algebraic equation

, an iterative scheme of the type

is proposed, where

. At the solution

and

. The order of convergence for this iterative scheme near the solution is ________.

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The probability distribution function of a random variable

is shown in the following figure.

Diagram for Chemical Engineering question 35

From this distribution, random samples with sample size

are taken. If

is the sample mean, the standard deviation of the probability distribution of

, i.e.

is ________ (round off to 3 decimal places).

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GATE CH exam:gate PYQs

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35