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This mock test of Chemical Engineering- CH 2015 GATE Paper (Practice Test) for GATE helps you for every GATE entrance exam.
This contains 65 Multiple Choice Questions for GATE Chemical Engineering- CH 2015 GATE Paper (Practice Test) (mcq) to study with solutions a complete question bank.
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QUESTION: 1

**Q.No-1-5 Carry One Mark Each**

**Q.**

Choose the word most similar in meaning to the given word: Educe

Solution:

QUESTION: 2

If log_{x} (5/7) = -1/3, then the value of x is

Solution:

QUESTION: 3

Operators

Find the value of

Solution:

QUESTION: 4

Choose the most appropriate word from the options given below to complete the following

sentence.

The principal presented the chief guest with a ____________, as token of appreciation.

Solution:

QUESTION: 5

Choose the appropriate word/phrase, out of the four options given below, to complete the

following sentence:

Frogs ____________________.

Solution:

Frogs make ‘croak’ sound.

QUESTION: 6

**Q.No-6-10 Carry Two Mark Each**

**Q**

A cube of side 3 units is formed using a set of smaller cubes of side 1 unit. Find the proportion of

the number of faces of the smaller cubes visible to those which are NOT visible.

Solution:

*Answer can only contain numeric values

QUESTION: 7

Fill in the missing value

**Imp : you should answer only the numeric value**

Solution:

Middle number is the average of the numbers on both sides.

Average of 6 and 4 is 5

Average of (7+4) and (2+1) is 7

Average of (1+9+2) and (1+2+1) is 8

Average of (4+1) and (2+3) is 5

Therefore, Average of (3) and (3) is 3

QUESTION: 8

Humpty Dumpty sits on a wall every day while having lunch. The wall sometimes breaks. A

person sitting on the wall falls if the wall breaks.

Which one of the statements below is logically valid and can be inferred from the above

sentences?

Solution:

QUESTION: 9

The following question presents a sentence, part of which is underlined. Beneath the sentence you find four ways of phrasing the underlined part. Following the requirements of the standard written English, select the answer that produces the most effective sentence.

Tuberculosis, together with its effects,__ "ranks one of the leading causes of death"__ in India.

Solution:

QUESTION: 10

Read the following paragraph and choose the correct statement.

Climate change has reduced human security and threatened human well being. An ignored reality

of human progress is that human security largely depends upon environmental security. But on

the contrary, human progress seems contradictory to environmental security. To keep up both at

the required level is a challenge to be addressed by one and all. One of the ways to curb the

climate change may be suitable scientific innovations, while the other may be the Gandhian

perspective on small scale progress with focus on sustainability.

Solution:

*Answer can only contain numeric values

QUESTION: 11

**Q.No-11-35 Carry One Mark Each**

Benzene is removed from air by absorbing it in a non-volatile wash-oil at 100kPa in a countercurrent

gas absorber. Gas flow rate is 100 mol/min, which includes 2 mol/min of benzene. The

flow rate of wash-oil is 50 mol/min.Vapour pressure of benzene at the column conditions is 50

kPa. Benzene forms an ideal solution with the wash-oil and the column is operating at steady

state. Gas phase can be assumed to follow ideal gas law. Neglect the change in molar flow rates

of liquid and gas phases inside the column.’

For this process, the value of the absorption factor (upto two decimal places) is _________.

**Imp : you should answer only the numeric value**

Solution:

QUESTION: 12

The following set of three vectors

is linearly dependent when x is equal to

Solution:

For linearly dependent vectors |A| = 0

QUESTION: 13

For which reaction order, the half-life of the reactant is half of the full lifetime (time for 100%

conversion) of the reactant?

Solution:

QUESTION: 14

Match the output signals as obtained from four measuring devices in response to a unit step

change in the input signal.

Output signal time

P: Gas chromatograph, with a long capillary tube

Q : Venturi tube

R : Thermocouple with first order dynamics

S : Pressure transducer with second order dynamics

Solution:

If y(t) = output (response)

Gas chromatograph – IV

Ventury tube - I

Thermocouple – II

Pressure transducer with second order dynamics - III

QUESTION: 15

Match the chemicals written on the left with the raw materials required to produce them

mentioned on the right.

Solution:

Single super phosphate (SSP) → Phosphate rock + H_{2}SO_{4}

Triple super phosphate (TSP) →phosphate rock + H_{3}PO_{4}

Diammonium phosphate (DAD) →Rock phosphate + H_{2}SO_{4} + NH_{3}

Caustic soda → Brine

*Answer can only contain numeric values

QUESTION: 16

For the matrix is an eigenvector, the corresponding eigenvalue is _______.

Solution:

QUESTION: 17

The transfer function for the disturbance response in an open-loop process is given by

The corresponding transfer function for the disturbance response in closed-loop feedback control

system with proportional controller is given by . Select the option that is Always correct

{O [G(S)] represents order of transfer function G(s)};

Solution:

QUESTION: 18

If v,u, s and g represent respectively the molar volume, molar internal energy, molar entropy and

molar Gibbs free energy, then match the entries in the left and right columns below and choose

the correct option.

Solution:

*Answer can only contain numeric values

QUESTION: 19

Two different liquids are flowing through different pipes of the same diameter. In the first pipe,

the flow is laminar with centerline velocity, V_{max.1} , Whereas in the second pipe, the flow is

turbulent. For turbulent flow, the average velocity is 0.82 times the centerline velocity, max.2 V .

For equal volumetric flow rates in both the pipes, the ratio V_{max.1/} V_{max.2} (up to two decimal

places) is ______.

**Imp : you should answer only the numeric value**

Solution:

QUESTION: 20

Consider linear ordinary differential equation Functions p(x) and r( x) are defined and have a continuous first derivative. The integrating factor of this equation is non-zero.

Multiplying this equation by its integrating factor converts this into a:

Solution:

Linear differential equation

y^{1}+p(x)y =r(x)

Multiplying above equation by integrating factor makes the equation exact

*Answer can only contain numeric values

QUESTION: 21

A spherical naphthalene ball of 2mm diameter is subliming very slowly in stagnant air at 25^{O}C.

The change in the size of the ball during the sublimation can be neglected. The diffusivity of

naphthalene in air at 25^{o} C is 1.1×10^{-6} m^{2}/s.

The value of mass transfer coefficient is B × 10^{-3} m/s, where B (up to one decimal place) is

**Imp : you should answer only the numeric value**

Solution:

For spherical ball

Dimensionless sherwood number = 2

QUESTION: 22

An irreversible, homogeneous reaction A→ products, has the rate expression:

where C_{A }is the concentration of A.

C_{A }varies in the range 0.5 – 50 mol/m^{3}.

For very high concentration of A, the reaction order tends to:

Solution:

QUESTION: 23

scalar function in the xy-plane is given by are unit vectors in the x

and y directions, the direction of maximum increase in the value of φ at (1,1) is along:

Solution:

Direction of maximum increase

QUESTION: 24

For a gas phase cracking reaction A®B+C at 300^{o}C, the Gibbs free energy of the reaction at

this temperature is ΔG^{o} = −2750J mol. The pressure is 1 bar and the gas phase can be assumed

to be ideal. The universal gas constant R = 8.314J/mol. K. The fractional molar conversion of A

at equilibrium is:

Solution:

QUESTION: 25

Two infinitely large parallel plates (I and II) are held at temperatures T_{I} and T_{II} ( T_{I} > T_{II})

respectively, and placed at a distance 2d apart in vacuum. An infinitely large flat radiation shield

(III) is placed in parallel in between I and II. The emissivities of all the plates are equal. The ratio

of the steady state radiative heat fluxes with and without the shield is:

Solution:

*Answer can only contain numeric values

QUESTION: 26

A cylindrical packed bed of height 1 m is filled with equal sized spherical particles. The particles

are nonporous and have a density of 1500 kg/m^{3}. The void fraction of the bed is 0.45. The bed is

fluidized using air (density 1kg/m^{3}). If the acceleration due to gravity is 9.8m/s^{2}, the pressure drop

(in pa) across the bed at incipient fluidization (up to one decimal place ) is _________.

Solution:

*Answer can only contain numeric values

QUESTION: 27

For a pure liquid, the rate of change of vapour pressure with temperature is 0.1 bar/K in the

temperature range of 300 to 350 K. if the boiling point of the liquid at 2 bar is 320 K, the

temperature (in K) at which it will boil at 1 bar (up to one decimal place) is ___________.

**Imp : you should answer only the numeric value**

Solution:

QUESTION: 28

For uniform laminar flow over a flat plate, the thickness of the boundary layer, δ, at a distance x

from the leading edge of the plate follows the relation:

Solution:

QUESTION: 29

Match the polymer mentioned on the left with the catalyst used for it manufacture given on the

right.

Solution:

QUESTION: 30

Three identical closed systems of a pure gas are taken from an initial temperature and pressure

( T_{L} , P_{1}) to a final state ( T_{2} P_{2}) , each by a different path. Which of the following in Always true

for the three systems? ( Δ represents the change between the initial and final states: U, S, G, Q

and W are internal energy, entropy, Gibbs free energy, heat added and work done, respectively.)

Solution:

QUESTION: 31

Identify the WRONG statement amongst the following

Solution:

Steam distillation is used for the mixture immiscible with water.

Option (C) is the wrong statement

QUESTION: 32

For a binary mixture of components A and B, N_{A} and N_{B} denote the total molar fluxes of

components A and B, respectively. J_{A} and J_{B} are the corresponding molar diffusive fluxes. Which

of the following is true for equimolar counter-diffusion in the binary mixture?

Solution:

QUESTION: 33

A complex-valued function, f(z), given below is analytic domain D:

f (z) =u(x,y) + iv(x,y) z = x + fy

Which of the following is NOT correct?

Solution:

QUESTION: 34

Which of the following can change if only the catalyst is changed for a reaction system?

Solution:

Catalyst changes the activation energy of the reaction

QUESTION: 35

Match the technologies in Group 1 with the entries in Group 2:

Solution:

P : Urea manufacture → IV prilling tower

Q: coal gasification → VI Gas solid non − catalytic reaction

R : controlled release of chemical → I :micron capsulation.

S: Deep hydrodesulphurization→ II ultra low sulphur diesel.

QUESTION: 36

**Q.No-36-65 Carry Two Marks Each**

**Q**

Consider a solid block of unit thickness for which the thermal conductivity decreases with an increase in temperature. The opposite faces of the block are maintained at constant but different temperatures: T(x = 0) > T(x = 1). Heat transfer is by steady state conduction in x-direction only. There is no source or sink of heat inside the block. In the figure below, identify the correct temperature profile in the block.

Solution:

From the above expression for temperature profile it is clear that the temp passes through a

minima

*Answer can only contain numeric values

QUESTION: 37

The schematic diagram of a steady state process is shown below. The fresh feed (F) to the reactor

consists of 96 mol% reactant A and 4 mol% inert I. The stoichiometry of the reaction is A→C .

A part of the reactor effluent is recycled. The molar flow rate of the recycle stream is 0.3F. The

product stream P contains 50 mol% C. The percentage conversion of A in the reactor based on A

entering the reactor at point 1 in the figure (up to one decimal place) is ________.

Solution:

Basis: -

100 mole of feed F

A in feed = 96 mol

Inert in feed = 4mol

Recycle = 0.3F = 30 mole

Product (P) Contains 50%C

At steady state F = P = 100 mole

Product Contains 50 mole C

Product must also contain 4% inert

At point (2) total molar flow rate =100 + 30 = 130mole

QUESTION: 38

The impulse response to a tracer pulse experiment for a flow reactor is given below:

In the above figure, c is the exit tracer concentration. The corresponding E or E_{θ} (normalized E)

curve is correctly represented by which of the following choices? Here, θ is dimensionless time.

Solution:

*Answer can only contain numeric values

QUESTION: 39

Consider a steady state mass transfer process between well-mixed liquid and vapour phases of a

binary mixture comprising of components A and B. The mole fractions of component A in the

bulk liquid (x_{A}) and bulk vapour ( y_{A}) phases are 0.36 and 0.16, respectively. The mass transfer

coefficients for component A in liquid and vapour phases are 0.1 mol/(m^{2}.s) and 0.05 mol/(m^{2}.s),

respectively. The vapour-liquid equilibrium can be approximated as for X_{A} less than

0.4. The mole fraction of A in the liquid at the interface (up to two decimal places) is

**Imp : you should answer only the numeric value**

Solution:

QUESTION: 40

A heated solid copper sphere (of surface area A and volume V) is immersed in a large body of cold

fluid. Assume the resistance to heat transfer inside the sphere to be negligible and heat transfer

coefficient (h), density (ρ) , heat capacity (C), and thermal conductivity (k) to be constant. Then,

at time t, the temperature difference between the sphere and the fluid is proportional to:

Solution:

T = f(time)

Let apply first law of thermodynamics. If at any instant of time T. if T is body temperature then.

*Answer can only contain numeric values

QUESTION: 41

An ideal gas is initially at a pressure of 0.1 MPa and a total volume of 2m^{3}. It is first compressed

to 1MPa by a reversible adiabatic process and then cooled at constant pressure to a final volume

of 0.2m^{3}. The total work done (in kJ) on the gas for the entire process (up to one decimal place) is

____________

Data: R = 8.314 J/molK; heat capacity at constant pressure (C_{P}) = 2.5R

**Imp : you should answer only the numeric value**

Solution:

1→2 : Re versible adiabatic process

2→3: Re versible isobaric process

*Answer can only contain numeric values

QUESTION: 42

A centrifugal pump delivers water at the rate of 0.22 m^{3}/s from a reservoir at ground level to

another reservoir at a height H, through a vertical pipe of 0.2m diameter. Both the reservoirs are

open to atmosphere. The power input to the pump is 90 kW and it operates with an efficiency of

75%.

Data:

Fanning friction factor for pipe flow is f = 0.004. Neglect other head losses

Take gravitational acceleration, g = 9.8 m/s^{2} and density of water is 1000kg/m3.

The height H, in meters, to which the water can be delivered (up to one decimal place) is _______.

**Imp : you should answer only the numeric value**

Solution:

QUESTION: 43

A multi-stage, counter-current liquid-liquid extractor is used to separate solute C from a binary

mixture (F) of A and C using solvent B. Pure Solvent B is recovered from the raffinate R by

distillation, as shown in the schematic diagram below:

Locations of different mixtures for this process are indicated on the triangular diagram below. P is

the solvent-free raffinate, E is the extract, F is the feed and D is the difference point from which

the mass balance lines originate. The line PB interects the binodal curve at U and T. The lines PD

and FB intersect the bimodal at V and W respectively

The raffinate coming out of extractor is represented in the diagram by the point:

Solution:

QUESTION: 44

The solution of the non-linear equation

x^{3} − x = 0 is to be obtained using Newton-Raphson method. If the initial guess is x = 0.5, the

method converges to which one of the following values:

Solution:

QUESTION: 45

An isothermal steady state mixed flow reactor (CSTR) of 1m3 volume is used to carry out the

first order liquid-phase reaction A → products. Fresh feed at a volumetric flow rate of Q

containing reactant A at a concentration C_{A0} mixes with the recycle steam at a volumetric flow

rate RQ as shown in the figure below.

It is observed that when the recycle ratio R = 0.5, the exit conversion X_{Af} =50% When the

recycle ratio is increased to R = 2, the new exit conversion (in percent) will be:

Solution:

Mole balance

Input – Output

disappearance = Accum.

At steady state,

*Answer can only contain numeric values

QUESTION: 46

A typical batch filtration cycle consists of filtration followed by washing, One such filtration unit

operating at constant pressure difference first filters a slurry during which 5 liters of filtrate is

collected in 100 s. This is followed by washing. Which is done for t_{w} seconds and uses 1 liter of

wash water. Assume the following relation to be applicable between the applied pressure drop

ΔP , cake thickness L at time t, and volume of liquid V collected in time t.

k_{1} and k_{2} can be taken to be constant during filtration and washing. The wash time t_{w}, in seconds

(up to one decimal place) is __________

**Imp : you should answer only the numeric value**

Solution:

QUESTION: 47

Which one of the following transfer functions, upon a unit step change in disturbance at t = 0, will

show a stable time domain response with a negative initial slope (i.e., slope at t = 0):

Solution:

QUESTION: 48

Solution:

QUESTION: 49

A spherical solid particle of 1mm diameter is falling with a downward velocity of 1.7mm/s

through a liquid (viscosity 0.04 Pa.s) at a low Reynolds number (Strokes regime). The liquid is

flowing upward at a velocity of 1 mm/s. All velocities are with respect to a stationary reference

frame. Neglecting the wall effects, the drag force per unit projected area of the particle, in Pa, (up

to two decimal places) is _________

**Correct Answer will be updated soon**

Solution:

QUESTION: 50

In the figure below, the temperature profiles of cold and hot fluids in counter current double pipe heat exchanges (in different mode of operation) are shown on the left. For each case, match the heat exchange process for the fluid represented by the bold curve with the options given on the right.

Solution:

(1) Sub cooled to saturated

(2) Saturated up to boiling point

(3) Saturated to superheat

(1) Cooling of superheated vapour to saturated vapour

(2) Condensation of saturated vapour to liquid.

(1) Heating of sub cooled liquid to saturated liquid

(2) Boiling of saturated liquid

(1) Condensation of saturated vapour to saturated liquid

(2) Sub cooling of saturated liquid.

*Answer can only contain numeric values

QUESTION: 51

The block diagram for a process with feedback control for output deviation variable h is shown in

the figure below. All transfer functions are given with pre-factor of s in minutes. A unit step

change is made in the set-point at t = 0. The time required for h to reach 50% of its ultimate value,

in minutes (up to two decimal places), is: _____________.

**Imp : you should answer only the numeric value**

Solution:

QUESTION: 52

Adsorption on activated carbon is to be used for reducing phenol concentration in wastewater

from 0.04 mol/1 to 0.008mol/1. The adsorption isotherm at the operating temperature can be

expressed as q = 0.025C^{1/3}; where q is the phenol concentration in solid (mol/g solid) and C is the

phenol concentration in water (mol/1). The minimum amount of solid (in grams) required per liter

of wastewater (up to one decimal place) is ______________________

**Correct answer will be updated soon**

Solution:

*Answer can only contain numeric values

QUESTION: 53

Consider a control system with the open loop transfer function given by:

In the above function, pre-factor of s is in minutes and KC is the gain of proportional controller.

The frequency for phase margin of 30^{O} is 40.04rad/min. The value of K_{C} for a gain margin of 1.7

(up to one decimal place) is _______

Solution:

*Answer can only contain numeric values

QUESTION: 54

For complex variable Z, the value of the contour integral along the clockwise

contour C: |z| = 2 (up to two decimal places) is __________

Solution:

QUESTION: 55

A proposed chemical plant is estimated to have a fixed capital (FC) of Rs. 24 crores. Assuming

other costs to be small, the total investment may be taken to be same as FC. After commissioning

(at t = 0 years), the annual profit before tax is Rs.10 crores/year (at the end of each year) and the

expected life of the plant is 10 years. The tax rate is 40% per year and a linear depreciation is

allowed at 10% per year. The salvage value is zero. If the annual interest rate is 12% the NPV

(net present value or worth) of the project in crores of rupees (up to one decimal place) is

_______.

Solution:

QUESTION: 56

For fanning friction factor f (for flow in pipes) and drag coefficient C_{D}(for flow over immersed

bodies), which of the following statements are true?

P: f accounts only for the skin friction

Q: C_{D} accounts only for the form friction

R: C_{D} accounts for both skin friction and form friction

S: Both f and CD depend on the Reynolds number

T: For laminar flow through a pipe, f doubles on doubling the volumetric flow rate.

Solution:

Correct Statements are

P : f accounts only for the skin friction

R : C_{D} accounts for both skin friction and form friction

S : Both f and C_{D} depends on the Reynolds number

*Answer can only contain numeric values

QUESTION: 57

A binary feed consisting of 25 mol% liquid and 75 mol% vapour is separated in a staged distillation column. The mole fraction of the more volatile component in the distillate product is 0.95. The molar flow rate of distillate is 50% of the feed flow rate and McCabe-Thiele method can be used to analyze the column . The q-line intersects the operating line of the enriching section at (0.35,0.5) on the x-y diagram. The slope of the stripping section operating line (up to one decimal place) is ________

**Imp : you should answer only the numeric value**

Solution:

*Answer can only contain numeric values

QUESTION: 58

A catalyst slab of half-thickness L (the width and length of the slab>> L) is used to conduct the

first order reaction A→B . At 450 K, the Thiele modulus for this system is 0.5. The activation

energy for the first order rate constant is 100kJ/mol. The effective diffusivity of the reactant in the

slab can be assumed to be independent of temperature, and external mass transfer resistance can

be neglected. If the temperature of the reaction is increased to 470 K, then the effectiveness factor

at 470 K (up to two decimal place) will be _________.

Value of universal gas constant = 8.314 J/mol.

**Imp : you should answer only the numeric value**

Solution:

QUESTION: 59

The diameter of sand particles in a sample range from 50 to 150 microns. The number of particles

of diameter x in the sample is proportional to 1/(50+x). The average diameter, in microns, (up to

one decimal place) is ________________

**Correct answer will be updated soon**

Solution:

QUESTION: 60

Consider two steady isothermal flow configuration shown schematically as Case I and Case II

below. In case I, a CSTR of volume V_{1} is followed by a PFR of volume V_{2}, while in Case II a

PFR of volume V_{2} is followed by a CSTR of volume V_{1}. In each case, a volumetric flow rate Q of

liquid reactant is flowing through the two units in series. An irreversible reaction A → products

(order n) takes place in both cases, with a reactant concentration CA0 being fed into the first unit.

Choose the correct option:

Solution:

We can solve problem by taking 1^{st} order reaction. (n = 1)

For Case I,

With same data,

QUESTION: 61

Select the wrong statement regarding water gas shift converters from the list below

Solution:

The correct sequence is

Wrong statement is D

*Answer can only contain numeric values

QUESTION: 62

A vector u = - 2yi + 2xj, where i and j are unit vector in x and y directions, respectively. Evaluate

the line integral

Where C is a closed loop formed by connecting points (1,1) , (3,1), (3,2) and (1,2) in the order.

The value of I is ___________.

**Imp : you should answer only the numeric value**

Solution:

*Answer can only contain numeric values

QUESTION: 63

A binary mixture of components (1) and (2) forms an azeotrope at 130OC and x1 = 0.3. The liquid

phase non-ideality is described by ln where γ_{1} γ_{2} are the activity

coefficients, and x_{1} , x_{2} are the liquid phase mole fractions. For both components, the fugacity coefficients are 0.9 at the azeotropic composition. Saturated vapor pressures at 130^{O}C are

The total pressure in bars for the above azeotopic system (up to two decimal places) is

Solution:

*Answer can only contain numeric values

QUESTION: 64

Air is flowing at a velocity of 3m/s perpendicular to a long pipe as shown in the figure below. The

outer diameter of the pipe is d = 6 cm and temperature at the outside surface of the pipe is

maintained at 100^{o} C. The temperature of the air far from the tube is 30^{o}C.

Data for air Kinematic Viscosity, V= 18 x10^{-6} m^{2/} s; Thermal conductivity, k = 0.3 W/(m.K)

Using the Nusselt number correlation : the rate of heat loss per unit

Length (W/ m) from the pipe to air (up to one decimal place) is ________________

**Imp : you should answer only the numeric value**

Solution:

*Answer can only contain numeric values

QUESTION: 65

The cost of two independent process variable f_{1} and f_{2} affects the total cost CT (in lakhs of

rupees) of the process as per the following function:

The lowest total cost C_{T}, in lakhs of rupees (up to one decimal place), is ________.

**Imp : you should answer only the numeric value**

Solution:

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