GATE CH branch:ch PYQs & Answers — Page 11

Questions 101–110 of 650. Imported answers require independent review unless marked reviewed.

Consider a Cartesian coordinate system with orthogonal unit basis vectors

defined over a domain:

. Choose the condition for which the divergence of the vector field

is zero.

Your answerChoose one option.

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A probability distribution function is given as

where

is a positive constant. For a function

, the expectation of

Your answerChoose one option.

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A hot plate is placed in contact with a cold plate of a different thermal conductivity as shown in the figure. The initial temperature (at time

) of the hot plate and cold plate are

and

, respectively. Assume perfect contact between the plates.

Diagram for Chemical Engineering question 38

Which one of the following is an appropriate boundary condition at the surface S for solving the unsteady state, one-dimensional heat conduction equations for the hot plate and cold plate for

Your answerChoose one option.

Temperature at S is same for both the plates

Gradient of temperature at S is same for both the plates

Gradient of temperature vanishes at S

Temperature at S is the average of

and

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The first-order irreversible liquid phase reaction

occurs inside a constant volume (

) isothermal CSTR with the initial steady state conditions shown in the figure. The gain, in

, of the transfer function relating the reactor effluent

concentration,

, to the inlet flow rate,

, is

Diagram for Chemical Engineering question 39

Your answerChoose one option.

1.2

0.4

0.6

0.8

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500 mg of a dry adsorbent is added to a beaker containing 100 mL solution of concentration 100 mg phenol/(L solution). The adsorbent is separated out after 5 h of rigorous mixing. If the residual concentration in the solution after separating the adsorbent is 30 mg phenol/(L solution), the amount of phenol adsorbed (in mg per gram of dry adsorbent) is

Your answerChoose one option.

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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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GATE CH branch:ch PYQs

Question 36

Question 37

Question 38

Question 39

Question 40

Question 41

Question 42

Question 43

Question 44

Question 45