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GATE Chemical Engineering Exam  >  GATE Chemical Engineering Tests  >  GATE Chemical Engineering Mock Test - 5 - GATE Chemical Engineering MCQ

GATE Chemical Engineering Mock Test - 5 - GATE Chemical Engineering MCQ


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30 Questions MCQ Test - GATE Chemical Engineering Mock Test - 5

GATE Chemical Engineering Mock Test - 5 for GATE Chemical Engineering 2025 is part of GATE Chemical Engineering preparation. The GATE Chemical Engineering Mock Test - 5 questions and answers have been prepared according to the GATE Chemical Engineering exam syllabus.The GATE Chemical Engineering Mock Test - 5 MCQs are made for GATE Chemical Engineering 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for GATE Chemical Engineering Mock Test - 5 below.
Solutions of GATE Chemical Engineering Mock Test - 5 questions in English are available as part of our course for GATE Chemical Engineering & GATE Chemical Engineering Mock Test - 5 solutions in Hindi for GATE Chemical Engineering course. Download more important topics, notes, lectures and mock test series for GATE Chemical Engineering Exam by signing up for free. Attempt GATE Chemical Engineering Mock Test - 5 | 65 questions in 180 minutes | Mock test for GATE Chemical Engineering preparation | Free important questions MCQ to study for GATE Chemical Engineering Exam | Download free PDF with solutions
GATE Chemical Engineering Mock Test - 5 - Question 1
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References : ______ : : Guidelines : Execute  (By definition)

Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 1

Sight means, a thing that one sees or that can be seen Site means, build (some thing) in a particular place Cite means, quote (a passage or book) as evidence for refer Plagiarise means, the practice of taking some one else’s work As guidelines are related with word implement in the same way references is related with cite. Guidelines are implemented and references are cited.
Hence, the correct option is (C).

GATE Chemical Engineering Mock Test - 5 - Question 2
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From the four given sentences, identify the one that is most appropriate in terms of grammar and usage.

Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 2

- The sentence D, "I will not leave the place until the minister meets me," is grammatically correct.
- The word "until" is used to indicate a condition that must be met before an action occurs.
- In this context, the correct structure is "until the minister meets me," which uses the present simple tense "meets" to describe a future condition.
- Options A, B, and C are incorrect due to inappropriate use of negation and verb forms.

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GATE Chemical Engineering Mock Test - 5 - Question 3
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If three dice are thrown, what is the probability that the total of the numbers shown on the three dice equals 10?

Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 3

The total number of outcomes when rolling three dice is 6×6×6=216

To calculate the number of favorable outcomes where the sum of the dice is 10, we enumerate all possible combinations:

There are 27 favorable outcomes.
Thus, the probability = 27/216 ​.

GATE Chemical Engineering Mock Test - 5 - Question 4
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Human beings are one of numerous beings that exist in an imagined realm. Within this realm, certain beings exhibit cruelty. If it is assumed in this imagined realm that the assertion "Some human beings are not cruel creatures" is FALSE, which of the following statements can be deduced with certainty?

(i) All human beings are cruel creatures.

(ii) Some human beings are cruel creatures.

(iii) Some creatures that are cruel are human beings.

(iv) No human beings are cruel creatures.
Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 4

“Some human beings are not cruel creatures” is FALSE.
The venn diagram for the statement is shown in the figure below.

From this statement we can say that “All human beings are cruel creature”, according to this.
(i) All human beings are cruel creatures, can be inferred with certainty.
(ii) Some human beings are cruel creatures, can be inferred as if all is definite them some is also definite.
(iii) Some creatures that are cruel are human beings, can be inferred as all human beings are cruel creature.
(iv) No human beings are cruel creatures cannot be inferred as all human beings are cruel creature.

Hence, the correct option is (D).

GATE Chemical Engineering Mock Test - 5 - Question 5
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In order to build a wall, sand and cement are combined in the ratio of 3:1. The expenses for sand and cement are in the ratio of 1:2.
If the combined cost of sand and cement for constructing the wall is 1000 rupees, what is the cost (in rupees) of the cement utilized?
Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 5

To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and that of cement are in the ratio of 1:2.
If the total cost of sand and cement to construct the wall is 1000 rupees, then the cost (in rupees) of cement used is, Composition ratio of sand and cement is 3:1
Cost ratio of sand and cement is 1 : 2
Total cost of sand = Quantity´ Cost
= 3x *1 = 3x
Total cost of cement = Quantity´ Cost
= 1x * 2 = 2x
Total cost of sand and cement = 3x + 2x = 5x
According to the information, 5x = 1000
x = 200
So, total cost of cement = 2x = 2 x 200 = 400 Rs.
Hence, the correct option is (A).

GATE Chemical Engineering Mock Test - 5 - Question 6
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Determine the quantity of roots situated to the left of the line s = –3 in the characteristic equation: s3 10s2 32s 32 = 0
Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 6

Put s = s – 3 in the equation, and make Routh table, one sign change means one root right of  s = –3 line. 
∴ 3rd degree equation has 3roots 2 roots on the left side.

GATE Chemical Engineering Mock Test - 5 - Question 7
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The phase angle at the corner frequency for will be:
Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 7

GATE Chemical Engineering Mock Test - 5 - Question 8
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Which of the following represents the CORRECT value of y, as defined by the expression illustrated below?
Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 8


On Applying L – Hospital’s rule, we get 

Hence, the correct option is (B).

GATE Chemical Engineering Mock Test - 5 - Question 9
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Considering that where z1 = 2 3i and z2 = -2 3i with i =  √-1, which of the following options is CORRECT?
Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 9


where, z1 = 2+3i and z2 = -2 +3i
On substituting z1 and z2 in F we get 

∴ The value of F is Less than 1.
Hence, the correct option is (B).

GATE Chemical Engineering Mock Test - 5 - Question 10
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The initial expense for a piece of equipment amounts to 10,000 rupees, and after a useful life of 6 years, the equipment has a salvage value of 2,000 rupees. Utilizing the declining balance method, what will be the book value after 3 years?
Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 10

f = 0.23
V3 = V(1 - 0.235)3 = 4472.13 Rs.

GATE Chemical Engineering Mock Test - 5 - Question 11
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A solution of 96% NaCl and 93% is utilized to generate 500 kg of HCl. Given that the conversion rate is 92%, the reaction can be expressed as follows:
Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 11

Moles of HCL = 500/36.5  K mol = 13.7 K mol
Stoichiometric moles of NaCl required = 13.7 K mol
Actual mass of NaCl required = 
Stoichiometric moles of H2SO4 required = 13.7 × 0.5 K mol
Actual mass of H2SO4 required

GATE Chemical Engineering Mock Test - 5 - Question 12
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Examine the hyperbolic functions listed in Group 1 along with their corresponding definitions in Group 2.

Identify the accurate pairings.
GATE Chemical Engineering Mock Test - 5 - Question 13
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What is the probability of obtaining two heads when two coins are tossed simultaneously?
Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 13

Probability of two Heads

*Multiple options can be correct
GATE Chemical Engineering Mock Test - 5 - Question 14
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In a scenario where a Carnot engine functions between a heat source and a heat sink, which of the following statements regarding this system is/are INCORRECT?
Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 14

For Carnot Engine,


Thus, option (B) is correct.
Carnot engine follows cyclic operation thus entropy will be constant.
Thus, option (D) also is correct.

*Multiple options can be correct
GATE Chemical Engineering Mock Test - 5 - Question 15
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In the case of a fully developed turbulent flow of an incompressible Newtonian fluid within a pipe that maintains a constant diameter, which of the following statements is/are CORRECT?
Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 15

Reynold stress, averaged over a sufficiently long time is zero everywhere inside the pipe.

  • Reynolds stress at the pipe wall is zero.
  • For Turbulent Flow –
    vavg = 0.817vmax
*Answer can only contain numeric values
GATE Chemical Engineering Mock Test - 5 - Question 16
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Consider two Carnot engines, C1 and C2, as depicted in the figure. 

The efficiencies of engines C1 and C2 are 0.40 and 0.35, respectively. Given that the temperature of Reservoir R1 is 800 K, what is the temperature (in K) of Reservoir R3? Please round off to the nearest integer.

Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 16


*Answer can only contain numeric values
GATE Chemical Engineering Mock Test - 5 - Question 17
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In a binary gas-liquid system, NA,EMD refers to the molar flux of gas A during equimolar counter diffusion with liquid B. Conversely, NA indicates the molar flux of A for steady-state one-component diffusion through stagnant B. Given that the mole fraction of A in the bulk of the gas phase is 0.2 and at the gas-liquid interface is 0.1 for both diffusion modes, what is the ratio of NA,umd to NA,EMD, rounded to two decimal places?

Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 17

For Diffusing A through Non-Diffusing B.

For Equimolar Counter Diffusion –

*Answer can only contain numeric values
GATE Chemical Engineering Mock Test - 5 - Question 18
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A column filled with resin beads is subjected to seawater flow.
The density of seawater is 1025 kgm-3  
The density of the resin beads is 1330 kgm-3
The diameter of the resin beads is 50 μm
The void fraction of the bed at the beginning of fluidization is 0.4  
The acceleration due to gravity is 9.81 ms−2
What is the pressure drop per unit length of the bed at the beginning of fluidization, expressed in _______ Pa m−1? (round off to the nearest integer)  

Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 18

Sea water is passed through a column containing a bed of resin beads    
Seawater (Pwater ) Pf= 1025 kg/m3
Density of resin bed (PP) = 1330 kg/m3
Diameter of resin beads = 50 mm gravity = 9.81 m/sec2
Void fractions ε= 0.4
Presure drop per unit length of the Bed at the onset (incipient) fluidization 

GATE Chemical Engineering Mock Test - 5 - Question 19
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In a container, there are 5 green balls and 10 blue balls. A person randomly selects 6 balls. What is the probability that the selected balls include 4 green balls and 2 blue balls?
Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 19

In the box,  
Number of Green balls = 5  
Number of Blue balls = 10  
Balls chosen at random = 6 

Probability of getting 4 Green Ball 2 Blue Ball  

Hence, the correct option is (D) 

GATE Chemical Engineering Mock Test - 5 - Question 20
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The two-film theory is applicable for the absorption of a solute from a gaseous mixture into a liquid solvent. The interfacial mass transfer coefficient (in mol m-2s-1) on the gas side is 0.1, while on the liquid side it is 3. The equilibrium relationship is represented by , where x and denote the mole fractions of the solute in the liquid and gas phases, respectively. What is the ratio of the mass transfer resistance in the liquid film to the overall resistance?
Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 20

kx = 3
ky = 2
y = 0.1x

Hence, the correct options is (C). 

GATE Chemical Engineering Mock Test - 5 - Question 21
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Which of the following represents a linear non-homogeneous differential equation, considering that x and y are the independent and dependent variables, respectively?
Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 21

General form of linear non-homogeneous DE is

*Multiple options can be correct
GATE Chemical Engineering Mock Test - 5 - Question 22
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Which statements regarding heat transfer and heat exchangers are accurate?
Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 22

Incorrect; statement 3 is false because hot and cold fluids flow in counterflow or parallel flow, but the correct description is typically counterflow in heat exchangers for better efficiency

*Answer can only contain numeric values
GATE Chemical Engineering Mock Test - 5 - Question 23
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A suspension in water at 60°C is introduced into the first effect of a double effect forward feed evaporator with a mass flow rate of 1.25 kg/s. The combined rates of water evaporated from both the first and second effects amount to 1.0 kg/s. The exit temperatures from the first and second effects are 100°C and 60°C, respectively. The specific heat of the aqueous suspension and the latent heat of phase change for water are given as 4 kJ/kg·K and 2200 kJ/kg, respectively, within this temperature range. Calculate the steam economy (in kg per kg) and round off to 2 decimal places.

Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 23


 

Given Data:

  • Tf = 60°C
  • Tj = 100°C
  • T2 = 60°C
  • λV = 2200 kJ/kg
  • CP = 4 kJ/kg
  • Given: V1 + V2 = 1 kg/s
  • f = L1 + V1
  • 1.25 = L1 + x
  • L1 = (1.25 - x) kg/s

Energy Balance on First Stage

FCP(T - Tf) + V1λv = SλS
1.25(4 × 103)(100 - 60) + x(2200 × 103) = S(2200 × 103)
200000 + 2200000x = 2200000S
11x - 11S + 1 = 0
11x = -1 + 11S ... (i)

Energy Balance on Second Stage
L1CP(T1 - T2) + V2λv = V1λS
(1.25 - x)(4)(60 - 100) + (1 - x)(2200) = x(2200)
4240x = 2000
x = 0.4716 kg/s
On substituting this value in equation (i)
11(0.4716) =−1 + 11S
S = 0.5626 kgs

Economy of =1.7774

*Answer can only contain numeric values
GATE Chemical Engineering Mock Test - 5 - Question 24
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A packed bed held vertically has a height of 1m and a void fraction of 0.1 when there is no flow passing through it. The onset of incipient (minimum) fluidization is achieved by injecting a fluid with a density of 1kg m-3. The particle density (ρp) of the solids is 3000 kg m-3. The acceleration due to gravity is 9.81 m s-2. What is the pressure drop (in Pa) across the height of the bed? Please round off your answer to the nearest integer.

Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 24

For minimum fluidization 

*Answer can only contain numeric values
GATE Chemical Engineering Mock Test - 5 - Question 25
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In a stirred vessel that is in a state of agitation, the Reynolds number is kept above 10,000. Initially, a solution with viscosity μ was used, and the agitator was recorded to be operating at 50 rpm. For the subsequent measurements, a solution with viscosity '2μ' was utilized, and the agitator's rpm was observed to be 200 rpm. What will be the ratio of the power requirement for the solution with viscosity μ compared to that of the solution with viscosity '2μ'?

Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 25

As, Re > 10,000 hence power requirement (P) = 
Where K is constant
ρ is density, n is agitator speed

Da is diameter.

*Answer can only contain numeric values
GATE Chemical Engineering Mock Test - 5 - Question 26
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A sizable tank is filled with water (density = 1 g.cm-3) to a height of 5 m. A solid spherical particle with a diameter of 100 μm (density = 0.8 g.cm-3) is dropped from the bottom of the tank. The particle reaches its terminal velocity (vt) after ascending to a certain height within the tank. Assume the acceleration due to gravity is 10 m.s-2 and the viscosity of water is 10-3 Pa.s. Ignore the effects of the tank walls on the particle. If Stokes' law is applicable, what is the absolute value of vt (in mm.s-1) ____________ (rounded to two decimal places)?

Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 26

For Stoke’s Law regime –
Terminal settling velocity 

*Answer can only contain numeric values
GATE Chemical Engineering Mock Test - 5 - Question 27
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A mixture of gases is composed of the following components with their mass percentages: O2 = 40%, CO2 = 40%, and N2 = 20%. Calculate the density at 25º C and 100 kPa [in g/m3].

Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 27

Let 100 gm of gasses

Average molecular weight
= 0.435 × 32 + 0.316 × 44 + 0.248 × 28 = 34.768
ρ = PM/RT = 1.403 kg/ m3

*Answer can only contain numeric values
GATE Chemical Engineering Mock Test - 5 - Question 28
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A continuous random variable x is defined with a probability density function f(x) = e-x, where 0 < x < ∞.

What is the value of P(x > 1)?

*Answer can only contain numeric values
GATE Chemical Engineering Mock Test - 5 - Question 29
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A mixture of air and water vapour that is to undergo a drying process has a dry bulb temperature of 57.2ºC and an absolute humidity of 0.030 kg H2O / kg dry air. What is the humid volume of this mixture expressed in lit/kg of dry air? (Round to two decimal places)

Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 29

*Answer can only contain numeric values
GATE Chemical Engineering Mock Test - 5 - Question 30
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In a given control system where the resultant transfer function behaves like an underdamped second order system,

What will be the gain K for this second order system if the damping factor is 0.56?
(up to two decimal places)

Detailed Solution for GATE Chemical Engineering Mock Test - 5 - Question 30


Inner loop transfer function,



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