GATE CH format:nat PYQs & Answers — Page 3

Questions 21–30 of 252. Imported answers require independent review unless marked reviewed.

Topic practice 252 questionsPage 3 of 26

The velocity profile for a fully developed laminar flow of an incompressible Newtonian fluid, at steady state, through a horizontal infinitely wide and long slit of gap 0.01 m is given by the following equation.

where y is the vertical distance measured from the center of the slit. The average velocity of the fluid (in m s⁻¹) is __________ (rounded off to the nearest integer).

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The following data is given for a ternary

gas mixture at 12 MPa and 308 K:

Component →
	0.55	0.20	0.25
	0.75	0.80	0.95

: mole fraction of component

in the gas mixture

: fugacity coefficient of component

in the gas mixture at 12 MPa and 308 K

The fugacity of the gas mixture is ____ MPa (rounded off to 3 decimal places).

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Ideal nonreacting gases

and

are contained inside a perfectly insulated chamber, separated by a thin partition, as shown in the figure. The partition is removed, and the two gases mix till final equilibrium is reached. The change in total entropy for the process is ____ J/K (rounded off to 1 decimal place).

Given: Universal gas constant

J/(mol K)

atm

Diagram for Chemical Engineering question 33

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Oil is extracted from mustard seeds having 20 wt% oil and 80 wt% solids, using hexane as a solvent. After extraction, the hexane-free residual cake contains 1 wt% oil. Assuming negligible dissolution of cake in hexane, the percentage oil recovery in hexane is ____% (rounded off to the nearest integer).

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The residence-time distribution (RTD) function of a reactor (in min

) is

The mean residence time of the reactor is ____ min (rounded off to 2 decimal places).

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Consider the matrix

The eigenvalues of the matrix are 0.27 and ____ (rounded off to 2 decimal places).

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The Newton-Raphson method is used to find the root of

Starting with an initial guess

, the second iterate

is ____ (rounded off to 2 decimal places).

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Consider moist air with absolute humidity of 0.02 (kg moisture)/(kg dry air) at 1 bar pressure. The vapour pressure of water is given by the equation

where

is in bar and

is in K. The molecular weight of water and dry air are 18 kg/kmol and 29 kg/kmol, respectively. The dew temperature of the moist air is ____ °C (rounded off to the nearest integer).

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An ideal monoatomic gas is contained inside a cylinder-piston assembly connected to a Hooke spring as shown in the figure. The piston is frictionless and massless. The spring constant is 10 kN/m. At the initial equilibrium state (shown in the figure), the spring is unstretched. The gas is expanded reversibly by adding 362.5 J of heat. At the final equilibrium state, the piston presses against the stoppers. Neglecting the heat loss to the surroundings, the final equilibrium temperature of the gas is ____ K (rounded off to the nearest integer).

Diagram for Chemical Engineering question 48

GIVEN: For a monoatomic ideal gas,

, where

J/(mol K)

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A leaf filter is operated at 1 atm (gauge). The volume of filtrate collected (

in m

) is related with the volumetric flow rate for the filtrate (

in m

/s) as:

The volumetric flow rate of the filtrate at 1 hour is ____

/s (rounded off to 2 decimal places).

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GATE CH format:nat PYQs

Question 65

Question 32

Question 33

Question 34

Question 35

Question 45

Question 46

Question 47

Question 48

Question 49