GATE CH topic:process-engineering PYQs & Answers — Page 50

Questions 491–500 of 650. Imported answers require independent review unless marked reviewed.

The solution of the ordinary differential equation

, subject to the initial condition

, is

Your answerChoose one option.

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The value of the complex number

(where

) is

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An incompressible Newtonian fluid flows in a pipe of diameter

at volumetric flow rate

. Fluid with same properties flows in another pipe of diameter

at the same flow rate

. The transition length required for achieving fully-developed flow is

for the tube of diameter

, while it is

for the tube of diameter

. Assuming steady laminar flow in both cases, the ratio

is:

Your answerChoose one option.

1/4

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A disk turbine is used to stir a liquid in a baffled tank. To design the agitator, experiments are performed in a lab-scale model with a turbine diameter of 0.05 m and a turbine impeller speed of 600 rpm. The liquid viscosity is 0.01 Pa s while the liquid density is 1000 kg/m

. The actual application has a turbine diameter of 0.5 m, an impeller speed of 600 rpm, a liquid viscosity of 0.1 Pa s and a liquid density of 1000 kg/m

. The effect of gravity is negligible. If the power required in the lab-scale model is

and the estimated power for the actual application is

, then the ratio

Your answerChoose one option.

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Consider two non-interacting tanks-in-series as shown in figure. Water enters TANK 1 at

/s and drains down to TANK 2 by gravity at a rate

(cm

/s). Similarly, water drains from TANK 2 by gravity at a rate

(cm

/s) where

and

represent levels of TANK 1 and TANK 2, respectively (see figure). Drain valve constant

/s and cross-sectional areas of the two tanks are

. At steady state operation, the water inlet flow rate is

/s. The transfer function relating the deviation variables

(cm) to flow rate

(cm

/s) is,

Diagram for Chemical Engineering question 30

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Choose the option that correctly matches the step response curves on the left with the appropriate transfer functions on the right. The step input change occurs at time

Diagram for Chemical Engineering question 31

Your answerChoose one option.

P – II, Q – IV; R – II, S – I

P – III, Q – I; R – IV, S – II

P – IV, Q – III; R – II, S – I

P – III, Q – II; R – IV, S – I

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100 kg of a feed containing 50 wt.% of a solute C is contacted with 80 kg of a solvent containing 0.5 wt.% of C in a mixer-settler unit. From this operation, the resultant extract and raffinate phases contain 40 wt.% and 20 wt.% of C, respectively. If E and R denote the mass of the extract and raffinate phases, respectively, the ratio E/R is

Your answerChoose one option.

1/4

1/2

2/3

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The combination that correctly matches the process in Group-1 with the entries in Group-2 is

Group-1 P) Wulf process Q) Sulfite process R) Solvay process S) Frasch process

Group-2 I) Sulfur mining II) Soda ash production III) Acetylene production IV) Pulp production

Your answerChoose one option.

P-II, Q-IV, R-III, S-I

P-III, Q-IV, R-II, S-I

P-IV, Q-I, R-II, S-III

P-II, Q-I, R-IV, S-III

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and

are directions in a Cartesian coordinate system and

and

are the respective unit vectors, the directional derivative of the function

at the point

in the direction

is __________ (rounded off to two decimal places).

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Two unbiased dice are thrown. Each dice can show any number between 1 and 6. The probability that the sum of the outcomes of the two dice is divisible by 4 is__________ (rounded off to two decimal places).

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GATE CH topic:process-engineering PYQs

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35