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 MECHANICAL OPERATIONS 0%
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 Answered
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Question 1 of 64
1. Question
1 pointsCategory: APTITUDEChoose the word most similar in meaning to the given word: Educe
Correct
Incorrect

Question 2 of 64
2. Question
1 pointsCategory: APTITUDEIf= 1/3 ,then the value of x is
Correct
1st Explanation
2nd Explanation
Incorrect
1st Explanation
2nd Explanation

Question 3 of 64
3. Question
1 pointsCategory: APTITUDECorrect
1st Explanation
2nd Explanation
Incorrect
1st Explanation
2nd Explanation

Question 4 of 64
4. Question
1 pointsCategory: APTITUDEChoose 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.
Correct
Incorrect

Question 5 of 64
5. Question
1 pointsCategory: APTITUDEChoose the appropriate word/phrase, out of the four options given below, to complete the following sentence:
Frogs ________.Correct
1st Explanation
Frogs make ‘croak’ sound.
2nd Explanation
Incorrect
1st Explanation
Frogs make ‘croak’ sound.
2nd Explanation

Question 6 of 64
6. Question
1 pointsCategory: APTITUDEA 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.
Correct
1st Explanation
Number of faces per cube = 6
Total number of cubes = 9×3 = 27
∴ Total number of faces = 27×6 = 162
∴ Total number of non visible faces = 16254 = 108∴ Number of visible faces/Number of non visible face =54/108 = 1/2
2nd Explanation
one stack of a cube has 9 cubes
Incorrect
1st Explanation
Number of faces per cube = 6
Total number of cubes = 9×3 = 27
∴ Total number of faces = 27×6 = 162
∴ Total number of non visible faces = 16254 = 108∴ Number of visible faces/Number of non visible face =54/108 = 1/2
2nd Explanation
one stack of a cube has 9 cubes

Question 7 of 64
7. Question
1 pointsCategory: APTITUDEFill in the missing value
Correct
1st explanation
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 32nd explanation
Incorrect
1st explanation
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 32nd explanation

Question 8 of 64
8. Question
1 pointsCategory: APTITUDEHumpty 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?
Correct
Incorrect

Question 9 of 64
9. Question
1 pointsCategory: APTITUDEThe 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.
Correct
Incorrect

Question 10 of 64
10. Question
1 pointsCategory: APTITUDERead 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.Correct
Incorrect

Question 11 of 64
11. Question
1 pointsCategory: MASS TRANSFERBenzene is removed from air by absorbing it in a nonvolatile washoil at 100 kPa in a countercurrent gas absorber. Gas flow rate is 100 mol/min, which includes 2 mol/min of benzene. The flow rate of washoil is 50 mol/min.Vapour pressure of benzene at the column conditions is 50 kPa. Benzene forms an ideal solution with the washoil 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 _________.
Correct
1ST EXPLANATION
Absorption factor A = Ls/mGs
Given Raoult’s law is applicable for gas phase
y.P =x.Psat
y×100= x× 50
y =0.5x
So, m =0.5A= 50/(0.5×98) =1.02
2ND EXPLANATION
Incorrect
1ST EXPLANATION
Absorption factor A = Ls/mGs
Given Raoult’s law is applicable for gas phase
y.P =x.Psat
y×100= x× 50
y =0.5x
So, m =0.5A= 50/(0.5×98) =1.02
2ND EXPLANATION

Question 12 of 64
12. Question
1 pointsCategory: MATHEMATICSThe following set of three vectors
is linearly dependent when x is equal to
Correct
1st Explanation
For linearly dependent vectors ⌈A⌋ = 0
⇒(124x) x (44) +3(2x 6) =0
⇒2x= 6
⇒x =32nd Explanation
Incorrect
1st Explanation
For linearly dependent vectors ⌈A⌋ = 0
⇒(124x) x (44) +3(2x 6) =0
⇒2x= 6
⇒x =32nd Explanation

Question 13 of 64
13. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGFor which reaction order, the halflife of the reactant is half of the full lifetime (time for 100% conversion) of the reactant?
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 14 of 64
14. Question
1 pointsCategory: PROCESS CONTROLMatch 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 dynamicsCorrect
1st explanation
Gas chromatograph – IV
Ventury tube – I
Thermocouple – II
Pressure transducer with second order dynamics – III2nd explanation
Incorrect
1st explanation
Gas chromatograph – IV
Ventury tube – I
Thermocouple – II
Pressure transducer with second order dynamics – III2nd explanation

Question 15 of 64
15. Question
1 pointsCategory: CHEMICAL TECHNOLOGYMatch the chemicals written on the left with the raw materials required to produce them mentioned on the right.
Correct
Single super phosphate (SSP) → Phosphate rock + H2SO4
Triple super phosphate (TSP) →Phosphate rock + H3PO4
Diammonium phosphate (DAD) →Rock phosphate + H2SO4 + NH3
Caustic soda → BrineIncorrect
Single super phosphate (SSP) → Phosphate rock + H2SO4
Triple super phosphate (TSP) →Phosphate rock + H3PO4
Diammonium phosphate (DAD) →Rock phosphate + H2SO4 + NH3
Caustic soda → Brine 
Question 16 of 64
16. Question
1 pointsCategory: MATHEMATICSFor the matrix is an eigenvector, the corresponding eigenvalue is _______.
Correct
1st Explanation
2nd Explanation
Incorrect
1st Explanation
2nd Explanation

Question 17 of 64
17. Question
1 pointsCategory: PROCESS CONTROLCorrect
1st Explanation
2nd Explanation
Incorrect
1st Explanation
2nd Explanation

Question 18 of 64
18. Question
1 pointsCategory: THERMODYNAMICSIf 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.
Correct
1st Explanation
2nd Explanation
Incorrect
1st Explanation
2nd Explanation

Question 19 of 64
19. Question
1 pointsCategory: FLUID MECHANICSTwo different liquids are flowing through different pipes of the same diameter. In the first pipe, the flow is laminar with centerline velocity, Vmax.1 , Whereas in the second pipe, the flow is turbulent. For turbulent flow, the average velocity is 0.82 times the centerline velocity, Vmax.2. For equal volumetric flow rates in both the pipes, the ratio Vmax.1/Vmax.2 (up to two decimal places) is ______.
Correct
1st Explanation
For laminar flow
Vavg,1 =0.5 Vmax,1
For Turbulent flow
Vavg,2 = 0.82 Vmax,2 (given)
Since volumetric flow rate is same
Q1=Q2
A1Vavg,1=A2Vavg,2
Given A1=A2
so,Vavg,1=Vavg,2
0.5 Vmax,1 = 0.82 Vmax,2
Vmax,1/Vmax,2 =1.64
2nd Explanation
Incorrect
1st Explanation
For laminar flow
Vavg,1 =0.5 Vmax,1
For Turbulent flow
Vavg,2 = 0.82 Vmax,2 (given)
Since volumetric flow rate is same
Q1=Q2
A1Vavg,1=A2Vavg,2
Given A1=A2
so,Vavg,1=Vavg,2
0.5 Vmax,1 = 0.82 Vmax,2
Vmax,1/Vmax,2 =1.64
2nd Explanation

Question 20 of 64
20. Question
1 pointsCategory: MATHEMATICSConsider linear ordinary differential equation dy/dx + p(x).y = r(x). Functions p(x) and r(x) are defined and have a continuous first derivative. The integrating factor of this equation is nonzero. Multiplying this equation by its integrating factor converts this into a:
Correct
1st Explanation
Linear differential equation
Multiplying above equation by integrating factormakes the equation exact
2nd Explanation
Incorrect
1st Explanation
Linear differential equation
Multiplying above equation by integrating factormakes the equation exact
2nd Explanation

Question 21 of 64
21. Question
1 pointsCategory: MASS TRANSFERA spherical naphthalene ball of 2 mm diameter is subliming very slowly in stagnant air at 25ºC. The change in the size of the ball during the sublimation can be neglected. The diffusivity of naphthalene in air at 25ºC is 1.1×106 m²/s. The value of mass transfer coefficient is B × 10³ m/s, where B (up to one decimal place) is
Correct
1st Explanation
For spherical ball
Dimensionless sherwood number = 2KcL/DAB =2
Where L = characteristic length = diameter of
Spherical ball = d = 2 mm = 2×10−³ mKc=2×DAB /d =2 ×1.1×106 /2 × 10³
Kc=1.1 × 10³ m/s
so, B=1.1
2nd Explanation
Incorrect
1st Explanation
For spherical ball
Dimensionless sherwood number = 2KcL/DAB =2
Where L = characteristic length = diameter of
Spherical ball = d = 2 mm = 2×10−³ mKc=2×DAB /d =2 ×1.1×106 /2 × 10³
Kc=1.1 × 10³ m/s
so, B=1.1
2nd Explanation

Question 22 of 64
22. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGAn irreversible, homogeneous reaction A→ products, has the rate expression where CA is the concentration of A. CA varies in the range 0.5 – 50 mol/m³.For very high concentration of A, the reaction order tends to:
Correct
1st Explanation
2nd Explanation
Incorrect
1st Explanation
2nd Explanation

Question 23 of 64
23. Question
1 pointsCategory: MATHEMATICSA scalar function in the xyplane is given by Φ(x, y) = x² + y². if iˆ and jˆ are unit vectors in the x and y directions, the direction of maximum increase in the value of Φ at (1,1) is along:
Correct
1st explanation
Direction of maximum increase
2nd explanation
Incorrect
1st explanation
Direction of maximum increase
2nd explanation

Question 24 of 64
24. Question
1 pointsCategory: THERMODYNAMICSFor a gas phase cracking reaction A→B+C at 300ºC, the Gibbs free energy of the reaction at this temperature is ΔGº = −2750 J/mol. The pressure is 1 bar and the gas phase can be assumed to be ideal. The universal gas constant R = 8.314 J/mol. K. The fractional molar conversion of Aat equilibrium is:
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 25 of 64
25. Question
1 pointsCategory: HEAT TRANSFERTwo infinitely large parallel plates (I and II) are held at temperatures TI and TII (TI > TII ) 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:
Correct
Incorrect

Question 26 of 64
26. Question
2 pointsCategory: FLUID MECHANICSA 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/m³. The void fraction of the bed is 0.45. The bed is fluidized using air (density 1 kg/m³). If the acceleration due to gravity is 9.8 m/s², the pressure drop (in pa) across the bed at incipient fluidization (up to one decimal place ) is _________.
Correct
1st Explanation
For incipient fluidization
2nd Explanation
Incorrect
1st Explanation
For incipient fluidization
2nd Explanation

Question 27 of 64
27. Question
2 pointsCategory: THERMODYNAMICSFor a pure liquid, the rate of change of vapor 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 ___________.
Correct
1st Explanation
2nd Explanation
Incorrect
1st Explanation
2nd Explanation

Question 28 of 64
28. Question
2 pointsCategory: HEAT TRANSFERFor 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:
Correct
1st Explanation
For laminar flow
Boundary layer thicknessδ(x)=
δ ∝ x½
2nd Explanation
Incorrect
1st Explanation
For laminar flow
Boundary layer thicknessδ(x)=
δ ∝ x½
2nd Explanation

Question 29 of 64
29. Question
2 pointsMatch the polymer mentioned on the left with the catalyst used for it manufacture given on the right.
Correct
LDPE → Traces of oxygen
HDPE Zeigler → Natta catalyst
PET → Antimony
PVC → Butyl LithiumIncorrect
LDPE → Traces of oxygen
HDPE Zeigler → Natta catalyst
PET → Antimony
PVC → Butyl Lithium 
Question 30 of 64
30. Question
1 pointsCategory: THERMODYNAMICSThree identical closed systems of a pure gas are taken from an initial temperature and pressure (T1,P1) to a final state (T2,P2), 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.)
Correct
1st Explanation
U,S and G are state variables (point function)
so, ΔU, ΔS and ΔG
Remain same between two states 1 and 2.2nd Explanation
Incorrect
1st Explanation
U,S and G are state variables (point function)
so, ΔU, ΔS and ΔG
Remain same between two states 1 and 2.2nd Explanation

Question 31 of 64
31. Question
1 pointsCategory: CHEMICAL TECHNOLOGYIdentify the WRONG statement amongst the following:
Correct
Steam distillation is used for the mixture immiscible with water.
Option (C) is the wrong statementIncorrect
Steam distillation is used for the mixture immiscible with water.
Option (C) is the wrong statement 
Question 32 of 64
32. Question
1 pointsCategory: MASS TRANSFERFor a binary mixture of components A and B, NA and NB denote the total molar fluxes of components A and B, respectively. JA and JB are the corresponding molar diffusive fluxes. Which of the following is true for equimolar counterdiffusion in the binary mixture?
Correct
Incorrect

Question 33 of 64
33. Question
2 pointsCategory: MATHEMATICSA complexvalued function, f(z), given below is analytic domain D:
Which of the following is NOT correct?
Correct
1st Explanation
2nd Explanation
Incorrect
1st Explanation
2nd Explanation

Question 34 of 64
34. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGWhich of the following can change if only the catalyst is changed for a reaction system?
Correct
1st explanation
Catalyst changes the activation energy of the reaction
2nd explanation
Incorrect
1st explanation
Catalyst changes the activation energy of the reaction
2nd explanation

Question 35 of 64
35. Question
1 pointsCategory: CHEMICAL TECHNOLOGYMatch the technologies in Group 1 with the entries in Group 2:
Correct
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 dieselIncorrect
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 of 64
36. Question
2 pointsCategory: HEAT TRANSFERConsider 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 xdirection only. There is no source or sink of heat inside the block. In the figure below, identify the correct temperature profile in the block.
Correct
Similarly integrating equation (1) between x = 0 & x =1
From the above expression for temperature profile it is clear that the temp passes through a minima .
Incorrect
Similarly integrating equation (1) between x = 0 & x =1
From the above expression for temperature profile it is clear that the temp passes through a minima .

Question 37 of 64
37. Question
2 pointsCategory: PROCESS CALCULATIONSThe 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 ________.
Correct
1ST EXPLANATION
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 = 130mole2ND EXPLANATION
Incorrect
1ST EXPLANATION
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 = 130mole2ND EXPLANATION

Question 38 of 64
38. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGThe 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 Eθ (normalized E) curve is correctly represented by which of the following choices? Here, θ is dimensionless time.
Correct
Incorrect

Question 39 of 64
39. Question
2 pointsCategory: MASS TRANSFERConsider a steady state mass transfer process between wellmixed liquid and vapour phases of a binary mixture comprising of components A and B. The mole fractions of component A in the bulk liquid (xA) and bulk vapour ( yA) phases are 0.36 and 0.16, respectively. The mass transfer coefficients for component A in liquid and vapour phases are 0.1 mol/(m².s) and 0.05 mol/(m².s), respectively. The vapourliquid equilibrium can be approximated as yA* = 2xA for xA less than 0.4. The mole fraction of A in the liquid at the interface (up to two decimal places) is
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 40 of 64
40. Question
2 pointsCategory: HEAT TRANSFERA 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:
Correct
1ST EXPLANATION
T = f(time)
Let apply first law of thermodynamics. If at any instant of time T. if T is body temperature then.2ND EXPLANATION
Incorrect
1ST EXPLANATION
T = f(time)
Let apply first law of thermodynamics. If at any instant of time T. if T is body temperature then.2ND EXPLANATION

Question 41 of 64
41. Question
2 pointsCategory: THERMODYNAMICSAn ideal gas is initially at a pressure of 0.1 MPa and a total volume of 2 m³. It is first compressed to 1MPa by a reversible adiabatic process and then cooled at constant pressure to a final volume of 0.2 m³. 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 (Cp) = 2.5RCorrect
1ST EXPLANATION
1→2 : Reversible adiabatic process
2→3: Reversible isobaric process2ND EXPLANATION
Incorrect
1ST EXPLANATION
1→2 : Reversible adiabatic process
2→3: Reversible isobaric process2ND EXPLANATION

Question 42 of 64
42. Question
2 pointsCategory: FLUID MECHANICSA centrifugal pump delivers water at the rate of 0.22 m³/s from a reservoir at ground level to another reservoir at a height H, through a vertical pipe of 0.2 m 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/s² and density of water is 1000 kg/m³.
The height H, in meters, to which the water can be delivered (up to one decimal place) is _______.Correct
Applying Bernoulli’s equation between (1) and (2)
Incorrect
Applying Bernoulli’s equation between (1) and (2)

Question 43 of 64
43. Question
2 pointsCategory: MASS TRANSFERA multistage, countercurrent liquidliquid 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 solventfree raffinate, E is the extract, F is the feed and Δ is the difference point from which the mass balance lines originate. The line PB interects the binodal curve at U and T. The lines PΔ and FB intersect the bimodal at V and W respectively.
The raffinate coming out of extractor is represented in the diagram by the point:
Correct
Incorrect

Question 44 of 64
44. Question
2 pointsCategory: MATHEMATICSThe solution of the nonlinear equation x³ − x = 0 is to be obtained using NewtonRaphson method. If the initial guess is x = 0.5, the method converges to which one of the following values:
Correct
1ST EXPLANATION
Solution to above equations are 0.1, – 1 but after first iteration it is converging to – 1
2ND EXPLANATION
Incorrect
1ST EXPLANATION
Solution to above equations are 0.1, – 1 but after first iteration it is converging to – 1
2ND EXPLANATION

Question 45 of 64
45. Question
2 pointsCategory: PROCESS CALCULATIONSAn isothermal steady state mixed flow reactor (CSTR) of 1 m³ volume is used to carry out the first order liquidphase reaction A → products. Fresh feed at a volumetric flow rate of Q containing reactant A at a concentration CA0 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 XAf =50% When the recycle ratio is increased to R = 2, the new exit conversion (in percent) will be:
Correct
1ST EXPLANATION
Mole balance
Input – Output = disappearance = Accumulation
At steady state,So, conversion xA is independent of Recycle ratio R . So final conversion = 50%
2ND EXPLANATION
Incorrect
1ST EXPLANATION
Mole balance
Input – Output = disappearance = Accumulation
At steady state,So, conversion xA is independent of Recycle ratio R . So final conversion = 50%
2ND EXPLANATION

Question 46 of 64
46. Question
2 pointsCategory: MECHANICAL OPERATIONSA 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 tw 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.k1 and k2 can be taken to be constant during filtration and washing. The wash time tw, in seconds
(up to one decimal place) is __________Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 47 of 64
47. Question
2 pointsCategory: PROCESS CONTROLWhich 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):
Correct
1ST EXPLANATION
From option (A)
2ND EXPLANATION
Incorrect
1ST EXPLANATION
From option (A)
2ND EXPLANATION

Question 48 of 64
48. Question
2 pointsCategory: THERMODYNAMICSCorrect
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 49 of 64
49. Question
2 pointsCategory: FLUID MECHANICSA spherical solid particle of 1 mm diameter is falling with a downward velocity of 1.7 mm/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
Incorrect

Question 50 of 64
50. Question
2 pointsCategory: HEAT TRANSFERIn 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.
Correct
(P) Heating of sub cooled feed to super heated vapour
(1) Sub cooled to saturated
(2) Saturated up to boiling point
(3) Saturated to superheat
(Q) Condensation of superheated vapour.
(1) Cooling of superheated vapour to saturated vapour
(2) Condensation of saturated vapour to liquid.
(R) Boiling of subcooled liquid
(1) Heating of sub cooled liquid to saturated liquid
(2) Boiling of saturated liquid
(S). Condensation of saturated vapour followed by subcooling
(1) Condensation of saturated vapour to saturated liquid
(2) Sub cooling of saturated liquid.Incorrect
(P) Heating of sub cooled feed to super heated vapour
(1) Sub cooled to saturated
(2) Saturated up to boiling point
(3) Saturated to superheat
(Q) Condensation of superheated vapour.
(1) Cooling of superheated vapour to saturated vapour
(2) Condensation of saturated vapour to liquid.
(R) Boiling of subcooled liquid
(1) Heating of sub cooled liquid to saturated liquid
(2) Boiling of saturated liquid
(S). Condensation of saturated vapour followed by subcooling
(1) Condensation of saturated vapour to saturated liquid
(2) Sub cooling of saturated liquid. 
Question 51 of 64
51. Question
2 pointsCategory: PROCESS CONTROLThe 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 prefactor of s in minutes. A unit step change is made in the setpoint at t = 0. The time required for h to reach 50% of its ultimate value, in minutes (up to two decimal places), is: _____________.
Correct
We have by making Gd(s) = 0 (no load disturbance)
Incorrect
We have by making Gd(s) = 0 (no load disturbance)

Question 52 of 64
52. Question
2 pointsCategory: MASS TRANSFERAdsorption on activated carbon is to be used for reducing phenol concentration in wastewater from 0.04 mol/l to 0.008 mol/l. The adsorption isotherm at the operating temperature can be expressed as ; where q is the phenol concentration in solid (mol/g solid) and C is the phenol concentration in water (mol/l). The minimum amount of solid (in grams) required per liter of wastewater (up to one decimal place) is ________ .
Correct
Incorrect

Question 53 of 64
53. Question
2 pointsCategory: PROCESS CONTROLConsider a control system with the open loop transfer function given by:
In the above function, prefactor of s is in minutes and Kc is the gain of proportional controller. The frequency for phase margin of 30º is 40.04 rad/min. The value of Kc for a gain margin of 1.7 (up to one decimal place) is _______
Correct
Incorrect

Question 54 of 64
54. Question
2 pointsCategory: MATHEMATICSFor complex variable Z, the value of the contour integral along the clockwise contour (up to two decimal places) is __________
Correct
1ST EXPLANATION
− 2 < z < 2
Poles are z = 0,3
Z = 3 is outside the contour CValue of integral = 0.33
2ND EXPLANATION
Incorrect
1ST EXPLANATION
− 2 < z < 2
Poles are z = 0,3
Z = 3 is outside the contour CValue of integral = 0.33
2ND EXPLANATION

Question 55 of 64
55. Question
2 pointsCategory: ECONOMICSA 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 _______.
Correct
Incorrect

Question 56 of 64
56. Question
2 pointsCategory: FLUID MECHANICSFor fanning friction factor f (for flow in pipes) and drag coefficient CD (for flow over immersed bodies), which of the following statements are true?
P: f accounts only for the skin friction
Q: CD accounts only for the form friction
R: CD 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.Correct
1ST EXPLANATION
Correct Statements are
P : f accounts only for the skin friction
R : CD accounts for both skin friction and form friction
S : Both f and CD depends on the Reynolds number2ND EXPLANATION
Incorrect
1ST EXPLANATION
Correct Statements are
P : f accounts only for the skin friction
R : CD accounts for both skin friction and form friction
S : Both f and CD depends on the Reynolds number2ND EXPLANATION

Question 57 of 64
57. Question
2 pointsCategory: MASS TRANSFERA 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 McCabeThiele method can be used to analyze the column . The qline intersects the operating line of the enriching section at (0.35,0.5) on the xy diagram. The slope of the stripping section operating line (up to one decimal place) is ________
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 58 of 64
58. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGA catalyst slab of halfthickness 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 100 kJ/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.KCorrect
Incorrect

Question 59 of 64
59. Question
2 pointsCategory: MECHANICAL OPERATIONSThe 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 . The average diameter, in microns, (up to one decimal place) is ________________
Correct
Incorrect

Question 60 of 64
60. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGConsider two steady isothermal flow configuration shown schematically as Case I and Case II below. In case I, a CSTR of volume V1 is followed by a PFR of volume V2, while in Case II a PFR of volume V2 is followed by a CSTR of volume V1. 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:
Correct
1ST EXPLANATION
We can solve problem by taking 1st order reaction. (n = 1)
For Case I,Case – II
2ND EXPLANATION
Incorrect
1ST EXPLANATION
We can solve problem by taking 1st order reaction. (n = 1)
For Case I,Case – II
2ND EXPLANATION

Question 61 of 64
61. Question
2 pointsCategory: CHEMICAL TECHNOLOGYSelect the wrong statement regarding water gas shift converters from the list below.
Correct
Incorrect

Question 62 of 64
62. Question
2 pointsCategory: MATHEMATICSA vector 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 ___________.
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 63 of 64
63. Question
2 pointsCategory: HEAT TRANSFERAir 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 100º C. The temperature of the air far from the tube is 30ºC. Data for air Kinematic Viscosity, 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 ________________
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 64 of 64
64. Question
2 pointsCategory: ECONOMICSThe cost of two independent process variable f1 and f2 affects the total cost CT (in lakhs of rupees) of the process as per the following function
The lowest total cost CT, in lakhs of rupees (up to one decimal place), is ________.
Correct
Incorrect