Chemical Engineering Gate 2021 Questions with Answer

Ques 27 GATE 2021

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^-2 has to be applied to keep the top plate moving with a velocity of 2 m s^-1 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 3N m^-2 has to be applied to keep the top plate moving with a velocity of 1 m s^-1 while the other plate is fixed.
In the range of shear rates studied, the rheological character of the fluid is

Ques 28 GATE 2021

Water of density 1000 kg m^-3 flows in a horizontal pipe of 10 cm diameter at an average velocity of 0.5 m s^-1. The following plot shows the pressure measured at various distances from the pipe entrance.

Ques 29 GATE 2021

Consider a tank filled with 3 immiscible liquids A, B and C at static equilibrium, as shown in the figure. At 2 cm below the liquid A - liquid B interface, a tube is connected from the side of the tank. Both the tank and the tube are open to the atmosphere.

Ques 30 GATE 2021

Seawater is passed through a column containing a bed of resin beads.
Density of seawater =1025 kg m^-3
Density of resin beads =1330 kg m^-3
Diameter of resin beads =50 μm
Void fraction of the bed at the onset of fluidization =0.4
Acceleration due to gravity =9.81 m s^-2
The pressure drop per unit length of the bed at the onset of fluidization is _______ Pa m^-1 (round off to nearest integer).

Ques 31 GATE 2021

The ratio of boys to girls in a class is 7 to 3.
Among the options below, an acceptable value for the total number of students in the class is:

Ques 32 GATE 2021

A polygon is convex if, for every pair of points, P and Q belonging to the polygon, the line segment PQ lies completely inside or on the polygon.
Which one of the following is NOT a convex polygon?

A

B

C

D

Ques 33 GATE 2021

Consider the following sentences:
(i) Everybody in the class is prepared for the exam.
(ii) Babu invited Danish to his home because he enjoys playing chess.
Which of the following is the CORRECT observation about the above two sentences?

Ques 34 GATE 2021

A

B

C

D

Ques 35 GATE 2021

_______ is to surgery as writer is to _______.
Which one of the following options maintains a similar logical relation in the above sentence?

Ques 36 GATE 2021

We have 2 rectangular sheets of paper, M and N, of dimensions 6 cm x 1 cm each. Sheet M is rolled to form an open cylinder by bringing the short edges of the sheet together. Sheet N is cut into equal square patches and assembled to form the largest possible closed cube. Assuming the ends of the cylinder are closed, the ratio of the volume of the cylinder to that of the cube is

Ques 37 GATE 2021

Details of prices of two items P and Q are presented in the above table. The ratio of cost of item P to cost of item Q is 3:4. Discount is calculated as the difference between the marked price and the selling price. The profit percentage is calculated as the ratio of the difference between selling price and cost, to the cost (Profit %= (Selling price - cost)/cost × 100).
The discount on item Q, as a percentage of its marked price, is

Ques 38 GATE 2021

There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag.
The probability that at least two chocolates are identical is

Ques 39 GATE 2021

Given below are two statements 1 and 2, and two conclusions I and II.
Statement 1: All bacteria are microorganisms.
Statement 2: All pathogens are microorganisms.
Conclusion I: Some pathogens are bacteria.
Conclusion II: All pathogens are not bacteria.
Based on the above statements and conclusions, which one of the following options is logically CORRECT?