GATE ME year:2023 PYQs & Answers — Page 7

Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 7 of 7

Consider a mixture of two ideal gases, X and Y, with molar masses

and

, respectively, in a container. The total pressure in the container is 100 kPa, the total volume of the container is 10 m

and the temperature of the contents of the container is 300 K. If the mass of gas-X in the container is 2 kg, then the mass of gas-Y in the container is ____ kg. (Rounded off to one decimal place)

Assume that the universal gas constant is 8314 J kmol

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The velocity field of a certain two-dimensional flow is given by

where

. The coordinates

and

are in meters. Assume gravitational effects to be negligible.

If the density of the fluid is 1000 kg/m

and the pressure at the origin is 100 kPa, the pressure at the location (2 m, 2 m) is ____________ kPa.

(Answer in integer)

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Consider a unidirectional fluid flow with the velocity field given by

where

. If the spatially homogeneous density field varies with time

the value of $u(2,1) is ______________. (Rounded off to two decimal places)

Assume all quantities to be dimensionless.

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The figure shows two fluids held by a hinged gate. The atmospheric pressure is

kPa. The moment per unit width about the base of the hinge is ____________ kN·m/m. (Rounded off to one decimal place)

Take the acceleration due to gravity to be

Diagram for Mechanical Engineering question 64

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An explosion at time

releases energy

at the origin in a space filled with a gas of density

. Subsequently, a hemispherical blast wave propagates radially outwards as shown in the figure.

Let R denote the radius of the front of the hemispherical blast wave. The radius R follows the relation

, where k is a dimensionless constant. The value of exponent a is __________.

(Rounded off to one decimal place)

Diagram for Mechanical Engineering question 65

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GATE ME year:2023 PYQs

Question 61

Question 62

Question 63

Question 64

Question 65