GATE CH year:2025 PYQs & Answers — Page 5

Questions 41–50 of 65. Imported answers require independent review unless marked reviewed.

A catalyst particle is modeled as a symmetric double cone solid as shown in the figure. For each conical sub-part, the radius of the base is

and the height is

. The sphericity of the particle is given by

Diagram for Chemical Engineering question 41

Your answerChoose one option.

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A zero-order gas phase reaction

with rate

mol/(L min) is carried out in a mixed flow reactor of volume 1 L. Pure A is fed to the reactor at a rate of 1 mol/min. At time

, the outlet flow is stopped while the inlet flow rate and reactor temperature remain unchanged. Assume that the reactor was operating under steady state before the flow was stopped (

). The rate of consumption of

, in mol/(L min), at

min is

Your answerChoose one option.

63.2

36.8

90.6

99.0

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For a steady state, fully developed laminar flow of a Newtonian fluid through a cylindrical pipe at a constant volumetric flow rate, which of the following statements regarding the pressure drop across the pipe (

) is/are TRUE?

Your answerSelect all correct options. You can choose more than one.

increases with fluid viscosity

increases with pipe length

increases with pipe diameter

remains unchanged with fluid viscosity

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Consider the differential equation

Choose the CORRECT option(s) for the solution

Your answerSelect all correct options. You can choose more than one.

;

is a constant

;

is a constant

;

is a constant

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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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An adiabatic pump of efficiency 40% is used to increase the water pressure from 200 kPa to 600 kPa. The flow rate of water is 600 L/min. The specific heat of water is 4.2 kJ/(kg °C). Assuming water is incompressible with a density of 1000 kg/m

, the maximum temperature rise of water across the pump is ____ °C (rounded off to 3 decimal places).

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GATE CH year:2025 PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50