GATE CH format:mcq PYQs & Answers — Page 3

Questions 21–30 of 378. Imported answers require independent review unless marked reviewed.

A two-dimensional temperature profile is given as

. If

and

are the unit vectors along x and y directions, respectively, which one of the following is the directional derivative of T at the location

Your answerChoose one option.

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Which one of the following is the value of

Your answerChoose one option.

−1

∞

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Which one of the following is the pair of eigenvalues of the matrix

Your answerChoose one option.

−7, 7

−5, 5

−4, 3

−3, 4

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Which one of the following is produced by catalytic reforming of straight run gasoline and naptha?

Your answerChoose one option.

diesel oil

furnace oil

high octane gasoline

kerosene

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K value is defined as the ratio of mole fraction of a component in the vapor phase to that in the liquid phase. The K values of propane and iso-butane at 293 K are given in the table.

Pressure (kPa)	Propane	iso-Butane
1100	1.8	0.85
1200	1.6	0.75
1300	1.4	0.65
1400	1.25	0.5
1500	1.1	0.45

Which one of the following is closest to the bubble point pressure (in kPa) of an equimolar mixture of propane and iso-butane at 293 K?

Your answerChoose one option.

1110

1190

1310

1390

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Consider a flow with the following velocity field

where

and

are the unit vectors in the x, y and z directions, respectively. Which one of the following is CORRECT?

Your answerChoose one option.

The flow is incompressible and irrotational.

The flow is incompressible and rotational.

The flow is compressible and rotational.

The flow is compressible and irrotational.

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Vapor pressure of water at various temperature is given in the table.

Temperature (in K)	284	289	294	299	310
Vapor pressure of water (in kPa)	1.28	1.80	2.50	3.40	6.40

An air and water vapor mixture at 100 kPa with a relative humidity of 20% has a dry-bulb temperature of 310 K. Assume latent heat of vaporization for water is 44 kJ mol

and specific heat capacity of the air and water vapor mixture is 0.035 kJ mol

. Which one of the following is the closest to its wet-bulb temperature (in K)?

Your answerChoose one option.

284

294

310

321

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A volatile organic compound (VOC) is to be adsorbed from air onto a bed of activated carbon. The equilibrium capacity of activated carbon at the feed conditions is 0.4 grams VOC per gram of activated carbon. The column contains 4 grams of activated carbon per cm

of cross-section. The feed rate into the adsorber column is 0.2 grams VOC cm

. Breakthrough time is defined as the time at which the concentration at the exit of the bed (

) reaches a value of

, where

is the concentration of VOC in the feed. The breakthrough time for the bed is 2 h. The area under the

curve between the initial and breakthrough times is 0.1 h. Which one of the following is the fraction of unused bed at breakthrough?

Your answerChoose one option.

0.25

0.50

0.75

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Consider the following complex numbers

where

are real numbers,

, and

, which one of the following conditions is necessarily CORRECT?

Your answerChoose one option.

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Consider the following curve in polar coordinates.

Which one of the following is the area enclosed by the curve for

Your answerChoose one option.

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GATE CH format:mcq PYQs

Question 21

Question 22

Question 23

Question 24

Question 36

Question 37

Question 38

Question 39

Question 40

Question 41