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Chemical Engineering- CH 2013 GATE Paper (Practice Test)


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65 Questions MCQ Test GATE Past Year Papers for Practice (All Branches) | Chemical Engineering- CH 2013 GATE Paper (Practice Test)

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 1

Q. No. 1 – 5 Carry One Mark Each

Q.

If 3 X 5 and 8 Y 11 then which of the following options is TRUE?

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 1

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 2

The Headmaster to speak to you.
Which of the following options is incorrect to complete the above sentence?

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 3

Mahatama Gandhi was known for his humility as

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 3

P and R are true

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 4

"All engineering students" "should learn mechanics", "mathematics and" "how to do computation."
                I                                          II                                  III                              IV
Which of the above underlined parts of the sentence is not appropriate?

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 5

Select the pair that best expresses a relationship similar to that expressed in the
pair:

water: pipe::

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 6

Q. No. 6 – 10 Carry Two Marks Each

Q.

Velocity of an object fired directly in upward direction is given by V = 80 − 32 t,
where t (time) is in seconds. When will the velocity be between 32 m/sec and 64
m/sec?

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 7

In a factory, two machines M1 and M2 manufacture 60% and 40% of the autocomponents respectively. Out of the total production, 2% of M1 and 3% of M2 are found to be defective. If a randomly drawn autocomponent from the combined lot is found defective, what is the probability that it was manufactured
by M2?

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 7

Let E1 be the machine M1 manufacture auto companies
Let E2 be the event of machine M2 manufacture auto companies
Given P(E1 )= 60%  = 60/100

A randomly draw on auto component from the lot is sound defective the
probability it was manufactured by M2 is  P(E2 / A) we have

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 8

Following table gives data on tourists from different countries visiting India in the
year 2011.

Which two countries contributed to the one third of the total number of tourists
who visited India in 2011?

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 9

If |−2X + 9| = 3 then the possible value of |−X| − X2 would be:

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 9

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 10

All professors are researchers
Some scientists are professors
Which of the given conclusions is logically valid and is inferred from the above
arguments:

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 11

Q. No. 11 – 25 Carry One Mark Each

Q.

The number of emails received on six consecutive days is 11, 9, 18, 18, 4 and 15,
respectively.

What are the median and the mode for these data?

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 11

By arranging the data in ascending order, the data is 4, 9, 11, 15, 18, 18
Median  =(15+11)/2=13 
Mode=Maximum number of times occurred value =18

*Answer can only contain numeric values
Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 12

For two rolls of a fair die, the probability of getting a 4 in the first roll and a
number less than 4 in the second roll, up to 3 digits after the decimal point, is _______

 

Imp : you should answer only the numeric value


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 12

We known that, if two dice are thrown then total number of out comes
=62=39
Let E be the event of getting 4 in the first roll and a number less than 4 is the
second.
Then favorable cases to occur E are 

(4,1) (4,2), (4,3)

Re quired probability =3/36=1/12 =0.0833

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 13

Which of the following statements are TRUE?
P. The eigen values of a symmetric matrix are real
Q. The value of the determinant of an orthogonal matrix can only be +1
R. The transpose of a square matrix A has the same eigen values as those of A
S. The inverse of an ‘n × n’ matrix exists if and only if the rank is less than ‘n’

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 13

P and R are true

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 14

Evaluate

(Note: C is a constant of integration)

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 14

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 15

A gaseous system contains H2, I2, and HI, which participate in the gas-phase
reaction

At a state of reaction equilibrium, the number of thermodynamic degrees of
freedom is

 

Imp : you should answer only the numeric value


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 15

As we know F = C - P+ 2
Here C = 2, P = 1 so F= 2- 1+ 2
F = 3

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 16

The thermodynamic state of a closed system containing a pure fluid changes from
(T1, p1) to (T2, p2), where T and p denote the temperature and pressure,
respectively. Let Q denote the heat absorbed (> 0 if absorbed by the system) and
W the work done (> 0 if done by the system). Neglect changes in kinetic and
potential energies. Which one of the following is CORRECT?

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 16

C
Q −W = ΔU
ΔU which solely depends only on initial and final temperature. It is independent
of path.

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 17

An equation of state is explicit in pressure p and cubic in the specific volume v. At
the critical point ‘c’, the isotherm passing through ‘c’ satisfies

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 17

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 18

The units of the isothermal compressibility are

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 18

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 19

An open tank contains two immiscible liquids of densities (800 kg/m3 and 1000 kg/m3) as shown in the figure. If g = 10 m/s2, under static conditions, the gauge pressure at the bottom of the tank in Pa is _____________

 

Important : you should answer only the numeric value
 


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 19

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 20

The apparent viscosity of a fluid is given by  is the velocity gradient. The fluid is

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 20

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 21

The mass balance for a fluid with density (ρ) and velocity vector is 

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 21

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 22

An incompressible Newtonian fluid, filled in an annular gap between two concentric cylinders of radii R1 and R2 as shown in the figure, is flowing under steady state conditions. The outer cylinder is rotating with an angular velocity of ? while the inner cylinder is stationary. Given that ( R1-R2)  ? R1 the profile of the θ -component of the velocity Vθ can be approximated by,

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 23

For a Newtonian fluid flowing in a circular pipe under steady state conditions in
fully developed laminar flow, the Fanning friction factor is

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 23

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 24

In the Tyler standard screen scale series, when the mesh number increases from
3 mesh to 10 mesh, then

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 24

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 25

Taking the acceleration due to gravity to be 10 m/s2, the separation factor of a cyclone 0.5 m in diameter and having a tangential velocity of 20 m/s near the wall is_____

 

Important : you should answer only the numeric value


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 25

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 26

The effectiveness of a heat exchanger in the ε − NTU method is defined as

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 26

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 27

In a pool boiling experiment, the following phenomena were observed.
P. Natural convection
Q. Film boiling
R. Transition boiling
S. Nucleate boiling
What was the CORRECT sequence of their occurrence?

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 27

Sequence is
(P) Natural convection    (S) Nucleate convection
(R) Transition boiling       (Q) Film boiling

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 28

A hole of area 1 cm2 is opened on the surface of a large spherical cavity whose inside temperature is maintained at 727 °C. The value of Stefan-Boltzmann constant is 5.67×10-8 W/m2-K4. Assuming black body radiation, the rate at which the energy is emitted (in W) by the cavity through the hole, up to 3 digits after the decimal point, is __________

Important : you should answer only the numeric value


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 28

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 29

The packing of an existing absorption tower is replaced with a new type of packing. The height of the packing and the inlet conditions are maintained the same as before. Tests reveal that the number of transfer units is lower than before. This indicates that the tower with the new packing, when compared to
that with the old packing, will

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 29

Here NTU is lowered which suggests that new packing have a lower rate of
absorption of solute from the gas stream in comparison to old packing.

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 30

A wet solid is dried over a long period of time by unsaturated air of nonzero constant relative humidity. The moisture content eventually attained by the solid is termed as the

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 30

Equilibrium moisture is attained by the solid after drying over a long period of
time.

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 31

The exit age distribution for a reactor is given by E(t) = δ(t − 4), where t is in seconds. A first order liquid phase reaction (k = 0.25 s-1) is carried out in this reactor under steady state and isothermal conditions. The mean conversion of the reactant at the exit of the reactor, up to 2 digits after the decimal point, is

 

Important : you should answer only the numeric value


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 31

General equation for first order

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 32

An isothermal liquid phase zero order reaction A→B (k = 0.5 mol/m3-s) is carried out in a batch reactor. The initial concentration of A is 2 mol/m3. At 3 seconds from the start of the reaction, the concentration of A in mol/m3 is

 

Important : you should answer only the numeric value


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 32

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 33

The overall rates of an isothermal catalytic reaction using spherical catalyst particles of diameters 1 mm and 2 mm are rA1 and rA2 (in mol (kg-catalyst)-1 h-1), respectively. The other physical properties of the catalyst particles are identical. If pore diffusion resistance is very high, the ratio rA2/rA1 is 

 

Important : you should answer only the numeric value


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 33

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 34

In the manufacture of sulphuric acid by the contact process, the catalytic
oxidation of SO2 is carried out in multiple stages mainly to

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 34

C

To increase the overall conversion interstage cooling is provided.

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 35

Match the following

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 35

(P)-3, (Q)-4, (R)-2, (S)-1

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 36

Q. No. 36 – 65 Carry Two Marks Each

For the function

The residue at z=2 is___________


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 36

Required answer is residue at z=2
Z=2 is a simple pole, therefore

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 37

The solution of the differential equation

 given y = 1 at x= 0 is

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 37

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 38

The solution of the differential equation

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 38

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 39

The value of the integral

evaluated by Simpson’s rule using 4 subintervals (up to 3 digits after the decimal
point) is______

 

Important : you should answer only the numeric value


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 39

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 40

In a process occurring in a closed system F, the heat transferred from F to the surroundings E is 600 J. If the temperature of E is 300 K and that of F is in the range 380 - 400 K, the entropy changes of the surroundings (SSE) and system (ΔSF), in J/K, are given by

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 40

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 41

A binary liquid mixture is in equilibrium with its vapor at a temperature T = 300 K. The liquid mole fraction x1 of species 1 is 0.4 and the molar excess Gibbs free energy is 200 J/mol. The value of the universal gas constant is 8.314 J/mol-K, and γi  denotes the liquid-phase activity coefficient of species i. If ln ( γi ) = 0.09,
then the value of ln( γ2 ), up to 2 digits after the decimal point, is

 

Important : you should answer only the numeric value
 


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 41

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 42

Water (density 1000 kg/m3) is flowing through a nozzle, as shown below and exiting to the atmosphere. The relationship between the diameters of the nozzle at locations 1 and 2 is D1 = 4 D2. The average velocity of the stream at location 2 is 16 m/s and the frictional loss between location 1 and location 2 is 10000 Pa.
Assuming steady state and turbulent flow, the gauge pressure in Pa, at location 1
is _________

 

Important : you should answer only the numeric value
 


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 42

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 43

In the elutriation leg of a commercial crystallizer containing a mixture of coarse and very fine crystals of the same material, a liquid is pumped vertically upward. The liquid velocity is adjusted such that it is slightly lower than the terminal velocity of the coarse crystals only. Hence

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 43

If velocity    Terminal velocity then the very fine crystals will be carried upward
and the coarse particle will settle.

 

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 44

100 ton/h of a rock feed, of which 80% passed through a mesh size of 2.54 mm, were reduced in size such that 80% of the crushed product passed through a mesh size of 1.27 mm. The power consumption was 100 kW. If 100 ton/h of the same material is similarly crushed from a mesh size of 5.08 mm to a mesh size of 2.54 mm, the power consumption (in kW, to the nearest integer) using Bond’s law, is


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 44

Dp2 = 2.54mm, Df2= 5.08, Df1 =1.27mm, D 2.54mm
Bond' s law statement

P2/100 = 0.707, P2= 70.7kW

*Answer can only contain numeric values
Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 45

Calculate the heat required (in kJ, up to 1 digit after the decimal point) to raise the temperature of 1 mole of a solid material from 100°C to 1000°C. The specific heat ( CP ) of the material (in J/mol-K) is expressed as CP = 20 + 0.005T, where T is in K. Assume no phase change.______

 

Important : you should answer only the numeric value
 


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 45

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 46

In a double pipe counter-current heat exchanger, the temperature profiles shown in the figure were observed. During operation, due to fouling inside the pipe, the heat transfer rate reduces to half of the original value. Assuming that the flow rates and the physical properties of the fluids do not change, the LMTD (in °C) in the new situation is

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 46

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 47

The vapor-liquid equilibrium curve of a binary mixture A-B, may be approximated
by a linear equation over a narrow range of liquid mole fractions ( 0.2 < xA <0.3)
as follows

Here   is the mole of fraction of A in the vapor. 100 moles of a feed ( xA,F = 0.28) is batch distilled to a final residue ( xA,W = 0.28) . Using the Rayleigh equation, the number of moles of the residue left behind in the distillation unit, up to 2 digits after the decimal point, is __________

 

Important : you should answer only the numeric value


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 47

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 48

A crosscurrent cascade of N ideal stages is used to treat a feed stream of molar flow rate E. The feed stream contains a solute which is to be recovered by a pure solvent having a molar flow rate S. The solvent is divided equally between these N stages. The linear equilibrium curve relating the mole fractions x and y* of the solute in the raffinate and the extract respectively, is given by y* = m x. Assume dilute conditions. The ratio of the solute mole fraction in the original feed to that in the exit raffinate stream i.e. ( x0 / xN )is given by

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 48

For Cross Current Cascade Equilibrium relation is

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 49

A study was conducted in which water was pumped through cylindrical pipes made of a sparingly soluble solid. For a given pipe and certain flow conditions, the mass transfer coefficient kc has been calculated as 1 mm/s using the correlation; Sh = 0.025 Re0.6 Sc0.33 .If the velocity of the fluid and the diameter of the pipe are both doubled, what is the new value of kc in mm/s, up to 2 digits after the decimal point? ______

 

Important : you should answer only the numeric value


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 49

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 50

The gas phase decomposition of azomethane to give ethane and nitrogen takes
place according to the following sequence of elementary reactions.

Using the pseudo-steady-state-approximation for [(CH3)2N2]*, the order with
respect to azomethane in the rate expression for the formation of ethane, in the limit of high concentrations of azomethane, is ______________

 

Important : you should answer only the numeric value


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 50

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 51

A first order liquid phase reaction is carried out isothermally at a steady state in a CSTR and 90% conversion is attained. With the same inlet conditions and for the same overall conversion, if the CSTR is replaced by two smaller and identical isothermal CSTRs in series, the % reduction in total volume, to the nearest integer, is _____________

Important : you should answer only the numeric value


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 51

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 52

Match the reactant-product combination in Group 1 with the unit process in Group
2.

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 52

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 53

Identify which of the following statements are FALSE.
(P) Oils with an oleic radical (1 double bond) are more suitable than oils with a
linolenic radical (3 double bonds) as film forming vehicles for paints
(Q) Production of synthesis gas from coal and steam is an endothermic process
(R) Use of chlorine for bleaching of wood pulp results in the release of dioxins
(S) In the manufacture of urea from ammonia, the main intermediate product
formed is ammonium bicarbonate

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 53

D
Ammonium carbamate is the main intermediate product during manufacturing of urea from NH3.

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 54

A unit gain 2nd order underdamped process has a period of oscillation 1 second
and decay ratio 0.25. The transfer function of the process is

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 54

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 55

A control valve, with a turndown ratio of 50, follows equal percentage characteristics. The flow rate of a liquid through the valve at 40% stem position is 1 m3/h. What will be the flow rate in m3/h at 50% stem position, if the pressure drop across the valve remains unchanged? (Up to 2 digits after the decimal
point.)

 

Important : you should answer only the numeric value


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 55

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 56

The purchase cost of a heat exchanger of 20 m2 area was Rs. 500000 in 2006. What will be the estimated cost (in Rs. to the nearest integer) of a similar heat exchanger of 50 m2 area in the year 2013? Assume the six-tenths factor rule for scaling and the cost index for 2006 as 430.2. The projected cost index for the
year 2013 is 512.6.

 

Important : you should answer only the numeric value


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 56

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 57

A plant manufactures compressors at the rate of N units/day. The daily fixed charges are Rs. 20000 and the variable cost per compressor is Rs. 500 + 0.2 N1.3. The selling price per compressor is Rs. 1000. The number of compressors to be manufactured, to the nearest integer, in order to maximize the daily profit is

 

Important : you should answer only the numeric value


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 57

Daily profit = selling price – cost price

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 58

Common Data Questions: 58 and 59

A reverse osmosis unit treats feed water (F) containing fluoride and its output consists of a permeate stream (P) and a reject stream (R). Let CF, CP, and CR denote the fluoride concentrations in the feed, permeate, and reject streams, respectively. Under steady state conditions, the volumetric flow rate of the reject is 60 % of the volumetric flow rate of the inlet stream, and CF = 2 mg/L and CP =0.1 mg/L.

Q.

The value of CR in mg/L, up to one digit after the decimal point, is

 

Important : you should answer only the numeric value


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 58

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 59

A reverse osmosis unit treats feed water (F) containing fluoride and its output consists of a permeate stream (P) and a reject stream (R). Let CF, CP, and CR denote the fluoride concentrations in the feed, permeate, and reject streams, respectively. Under steady state conditions, the volumetric flow rate of the reject is 60 % of the volumetric flow rate of the inlet stream, and CF = 2 mg/L and CP =0.1 mg/L

Q.

A fraction f of the feed is bypassed and mixed with the permeate to obtain treated water having a fluoride concentration of 1 mg/L. Here also the flow rate of the reject stream is 60% of the flow rate entering the reverse osmosis unit (after the bypass). The value of f, up to 2 digits after the decimal point, is

 

Important : you should answer only the numeric value


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 59

Mass balance at Reverse osmosis in and out
P=0.4(1-f)F
Mass balance of fluoride on bypass stream

F x  f x  2 = [ (F x f)+ P]
F x  f x  2 = [ (F x f) + 0.4 (1- f) F]
on solving, we get

2 x f =0.4(1-f) +f
F=0.4/1.4 =0.286

*Answer can only contain numeric values
Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 60

Common Data Questions: 60 and  61

Liquid reactant A decomposes as follows

An aqueous feed of composition CA0 = 30 mol/m3, CR0 = 2 mol/m3, and CS0= 1 mol/m3 enters a CSTR in which the above reactions occur. Assume isothermal and steady state conditions.

Q.

If the conversion of A is 80 %, the concentration of R in the exit stream in
mol/m3, to the nearest integer, is______

 

Important : you should answer only the numeric value


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 60

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Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 61

Liquid reactant A decomposes as follows

An aqueous feed of composition CA0 = 30 mol/m3, CR0 = 2 mol/m3, and CS0= 1 mol/m3 enters a CSTR in which the above reactions occur. Assume isothermal and steady state conditions.

Q.

What is the % conversion of A, to the nearest integer, so that the concentration of S in the exit stream is 11.8 mol/m3?

 

Important : you should answer only the numeric value


Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 61

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 62

Linked Answer Questions: Q.62 to Q.65

Statement for Linked Answer Questions: 62 & 63

The vapor liquid equilibrium relation for an ideal binary system is given by

Here xA and  are the mole fractions of species A in the liquid and vapor, respectively. The relative volatility ( αAB)  is greater than unity.

Q.

The liquid mole fraction at which the maximum difference between the equilibrium vapor mole fraction and liquid mole fraction occurs is

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 62

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 63

The vapor liquid equilibrium relation for an ideal binary system is given by

Here xA and  are the mole fractions of species A in the liquid and vapor, respectively. The relative volatility ( αAB)  is greater than unity.

Q.

A liquid having the composition found in the first part of the linked answer question, is flash distilled at a steady state to a final liquid mole fraction of 0.25. If   is 2.5, the fraction of the feed vaporized is

 

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 64

Statement for Linked Answer Questions: 64 and 65

Consider the following transfer function

(Note: The unit of the process time constant is in seconds.)

Q.

The crossover frequency (in rad/s) of the process is

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 64

Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 65

Consider the following transfer function

(Note: The unit of the process time constant is in seconds.)

Q.

For the computation of Ziegler-Nichols settings, the ultimate period (in s/cycle)
and the ultimate gain are

Detailed Solution for Chemical Engineering- CH 2013 GATE Paper (Practice Test) - Question 65

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