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Chemical Engineering Gate 2013
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 FLUID MECHANICS 0%
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 INSTRUMENTATION 0%
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 MATHEMATICS 0%
 MECHANICAL OPERATIONS 0%
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Question 1 of 65
1. Question
1 pointsCategory: APTITUDEThe 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?
Correct
1st explanation
By arranging the data in ascending order, the data is 4, 9, 11, 15, 18, 18
Median = (11+ 15)/2 = 13
Mode=Maximum number of times occurred value = 182nd explanation
Incorrect
1st explanation
By arranging the data in ascending order, the data is 4, 9, 11, 15, 18, 18
Median = (11+ 15)/2 = 13
Mode=Maximum number of times occurred value = 182nd explanation

Question 2 of 65
2. Question
1 pointsCategory: APTITUDEFor 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 ___ .
Correct
1st explanation
We known that, if two dice are thrown then total number of out comes =6²=36
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)
Required probability=3/36 = 1/12 = 0.08332nd explanation
Incorrect
1st explanation
We known that, if two dice are thrown then total number of out comes =6²=36
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)
Required probability=3/36 = 1/12 = 0.08332nd explanation

Question 3 of 65
3. Question
1 pointsCategory: APTITUDEWhich 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’Correct
Incorrect

Question 4 of 65
4. Question
1 pointsCategory: MATHEMATICSEvaluate
( Note: C is a constant of integration.)
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 5 of 65
5. Question
1 pointsCategory: THERMODYNAMICSA gaseous system contains H2, I2, and HI, which participate in the gasphase reaction
2HI ⇔ H2 + I2
At a state of reaction equilibrium, the number of thermodynamic degrees of freedom isCorrect
1st explanation
F = C – P – R + 2
C → no. of components, C = 3
P → no. of phases, P = 1
R → no. of reactions involved, R = 1
Degrees of freedom, F=411+2 =3
2nd explanation
Incorrect
1st explanation
F = C – P – R + 2
C → no. of components, C = 3
P → no. of phases, P = 1
R → no. of reactions involved, R = 1
Degrees of freedom, F=411+2 =3
2nd explanation

Question 6 of 65
6. Question
1 pointsCategory: THERMODYNAMICSThe 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?
Correct
1st explanation
Q −W = ΔU
ΔU which solely depends only on initial and final temperature. It is independent of path.2nd explanation
Incorrect
1st explanation
Q −W = ΔU
ΔU which solely depends only on initial and final temperature. It is independent of path.2nd explanation

Question 7 of 65
7. Question
1 pointsCategory: THERMODYNAMICSAn 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
Correct
1st explanation
The critical point is a point of inflection
Mathematically at inflection point, the first and second derivatives of a function becomes zero
Therefore for the function p(v),
2nd explanation
Incorrect
1st explanation
The critical point is a point of inflection
Mathematically at inflection point, the first and second derivatives of a function becomes zero
Therefore for the function p(v),
2nd explanation

Question 8 of 65
8. Question
1 pointsCategory: THERMODYNAMICSThe units of the isothermal compressibility are
Correct
1st explanation
Isothermal compressibility is a measure of the relative volume change of a fluid or solid as a response to a pressure change at constant temperature
ß, Isothermal compressibility =
The unit of isothermal compressibility is Pa¹
2nd explanation
Incorrect
1st explanation
Isothermal compressibility is a measure of the relative volume change of a fluid or solid as a response to a pressure change at constant temperature
ß, Isothermal compressibility =
The unit of isothermal compressibility is Pa¹
2nd explanation

Question 9 of 65
9. Question
1 pointsCategory: FLUID MECHANICSAn 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
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 10 of 65
10. Question
1 pointsCategory: FLUID MECHANICSThe apparent viscosity of a fluid is given by
is the velocity gradient. The fluid is
Correct
1st explanation
For non Newtonian fluid
Here η is apparent viscosity
2nd explanation
Incorrect
1st explanation
For non Newtonian fluid
Here η is apparent viscosity
2nd explanation

Question 11 of 65
11. Question
1 pointsCategory: FLUID MECHANICSThe mass balance for a fluid with density (ρ) and velocity vector (∇) is
Correct
1st explanation
Equation of continuity
2nd explanation
Incorrect
1st explanation
Equation of continuity
2nd explanation

Question 12 of 65
12. Question
1 pointsCategory: FLUID MECHANICSAn 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 Ω while the inner cylinder is stationary. Given that R2 – R1 << R1 , the profile of the θcomponent of the velocity Vθ can be approximated by
Correct
Incorrect

Question 13 of 65
13. Question
1 pointsCategory: FLUID MECHANICSFor a Newtonian fluid flowing in a circular pipe under steady state conditions in fully developed laminar flow, the Fanning friction factor is
Correct
For fully developed laminar flow
Fanning friction function,Incorrect
For fully developed laminar flow
Fanning friction function, 
Question 14 of 65
14. Question
1 pointsCategory: MECHANICAL OPERATIONSIn the Tyler standard screen scale series, when the mesh number increases from 3 mesh to 10 mesh, then
Correct
Here mesh number increases
As we know clear openings ∝ 1/ mesh numberMesh number indicates the number of openings per linear inch
As the mesh number increases the number of openings increases making the clear openings to decreaseClear opening decreases
Incorrect
Here mesh number increases
As we know clear openings ∝ 1/ mesh numberMesh number indicates the number of openings per linear inch
As the mesh number increases the number of openings increases making the clear openings to decreaseClear opening decreases

Question 15 of 65
15. Question
1 pointsCategory: MECHANICAL OPERATIONSTaking 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_____Correct
1st explanation
Separation factor = V²/rg = 20²/(0.2×10) = 160
2nd explanation
Incorrect
1st explanation
Separation factor = V²/rg = 20²/(0.2×10) = 160
2nd explanation

Question 16 of 65
16. Question
1 pointsCategory: HEAT TRANSFERThe effectiveness of a heat exchanger in the ε− NTU method is defined as
Correct
Effectiveness= Actual heat transfer/Maximum heat transfer
Incorrect
Effectiveness= Actual heat transfer/Maximum heat transfer

Question 17 of 65
17. Question
1 pointsCategory: HEAT TRANSFERIn 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?Correct
Incorrect

Question 18 of 65
18. Question
1 pointsCategory: HEAT TRANSFERA 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 StefanBoltzmann constant is 5.67×108 W/m²K4. 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
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 19 of 65
19. Question
1 pointsThe 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
Correct
1st explanation
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.
2nd explanation
Incorrect
1st explanation
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.
2nd explanation

Question 20 of 65
20. Question
1 pointsCategory: MASS TRANSFERA 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
Correct
Unbound moisture is the moisture that is present in the water once evaporation occurs, for example dew.
Bound moisture is water that is nothing but for crystallization
The moisture content of solid in excess of the equilibrium moisture content is free moisture content
Equilibrium moisture is attained by the solid after drying over a long period of time. Equilibrium Moisture Content is defined as the point where substance stops absorbing moisture from the surrounding air. At this point, the material is said to have reached equilibrium with the atmosphere.
Incorrect
Unbound moisture is the moisture that is present in the water once evaporation occurs, for example dew.
Bound moisture is water that is nothing but for crystallization
The moisture content of solid in excess of the equilibrium moisture content is free moisture content
Equilibrium moisture is attained by the solid after drying over a long period of time. Equilibrium Moisture Content is defined as the point where substance stops absorbing moisture from the surrounding air. At this point, the material is said to have reached equilibrium with the atmosphere.

Question 21 of 65
21. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGThe 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 s¹) 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
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 22 of 65
22. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGThe overall rates of an isothermal catalytic reaction using spherical catalyst particles of diameters 1 mm and 2 mm are rA1 and rA2 (in mol (kgcatalyst)¹ h¹), respectively. The other physical properties of the catalyst particles are identical. If pore diffusion resistance is very high, the ratio rA2/rA1 is
Correct
1st explanation
For high pore diffusion resistance
Rate of reaction ∝ 1/ diameter
= d1/d2 =1/2 =0.5
2nd explanation
Incorrect
1st explanation
For high pore diffusion resistance
Rate of reaction ∝ 1/ diameter
= d1/d2 =1/2 =0.5
2nd explanation

Question 23 of 65
23. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGAn isothermal liquid phase zero order reaction A→B (k = 0.5 mol/m³s) 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
Correct
1st explanation
For zero order reaction
CA =0.5 mol/m³
2nd explanation
Incorrect
1st explanation
For zero order reaction
CA =0.5 mol/m³
2nd explanation

Question 24 of 65
24. Question
1 pointsCategory: CHEMICAL TECHNOLOGYIn the manufacture of sulphuric acid by the contact process, the catalytic oxidation of SO2 is carried out in multiple stages mainly to
Correct
To increase the overall conversion interstage cooling is provided.
Incorrect
To increase the overall conversion interstage cooling is provided.

Question 25 of 65
25. Question
1 pointsCategory: INSTRUMENTATIONMatch the following.
Group 1 Group 2
(P) Viscosity (1) Pyrometer
(Q) Pressure (2) Hot wire anemometer
(R) Velocity (3) Rheometer
(S) Temperature (4) Piezoelectric elementCorrect
Greek words → Meaning
Pyr → Fire
Anemos → Wind
Piezein → Squeeze or Press
Rheos → Stream or to flow(P) Viscosity – 3. Rheometer
(Q) Pressure – 4. Piezoelectric element
(R) Velocity – 2. Hot wire anemometer
(S) Temperature – 1. PyrometerIncorrect
Greek words → Meaning
Pyr → Fire
Anemos → Wind
Piezein → Squeeze or Press
Rheos → Stream or to flow(P) Viscosity – 3. Rheometer
(Q) Pressure – 4. Piezoelectric element
(R) Velocity – 2. Hot wire anemometer
(S) Temperature – 1. PyrometerHint
Greek words → Meaning
Pyr → Fire
Anemos → Wind
Piezein → Squeeze or Press
Rheos → Stream or to flow 
Question 26 of 65
26. Question
1 pointsCategory: MATHEMATICSFor the function
The residue at z=2 is___________
Correct
1st explanation
Given functions
Poles are z=2 and z=2
Required answer is residue at z=2
Z=2 is a simple pole, therefore
2nd explanation
Incorrect
1st explanation
Given functions
Poles are z=2 and z=2
Required answer is residue at z=2
Z=2 is a simple pole, therefore
2nd explanation

Question 27 of 65
27. Question
1 pointsCategory: MATHEMATICSThe solution of the differential equation
,given y =1 at x=0 is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 28 of 65
28. Question
1 pointsCategory: MATHEMATICSThe solution of the differential equation
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 29 of 65
29. Question
1 pointsCategory: MATHEMATICSThe value of the integral
evaluated by Simpson’s rule using 4 subintervals (up to 3 digits after the decimal point) is______
Correct
1st explanation
=0.1×3.849 = 0.3849
2nd explanation
Incorrect
1st explanation
=0.1×3.849 = 0.3849
2nd explanation

Question 30 of 65
30. Question
1 pointsCategory: THERMODYNAMICSIn 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 (ΔSE) and system (ΔSF), in J/K, are given by
Correct
1st explanation
Tsurr = 300K, Heat transferred from system to surrounding
Q = 600 JEntropy charge of surrounding, ΔSE = Q /Tsurr =600/300 =2 J/K
ΔSuniverse >0
ΔSE + ΔSF > 0
ΔSF > ΔSE
ΔSF > 2 J/K
2nd explanation
Incorrect
1st explanation
Tsurr = 300K, Heat transferred from system to surrounding
Q = 600 JEntropy charge of surrounding, ΔSE = Q /Tsurr =600/300 =2 J/K
ΔSuniverse >0
ΔSE + ΔSF > 0
ΔSF > ΔSE
ΔSF > 2 J/K
2nd explanation

Question 31 of 65
31. Question
1 pointsCategory: THERMODYNAMICSA 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/molK, and γi denotes the liquidphase 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
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 32 of 65
32. Question
1 pointsCategory: FLUID MECHANICSWater (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 _____ .
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 33 of 65
33. Question
1 pointsCategory: MECHANICAL OPERATIONSIn 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
Correct
1st explanation
If velocity < Terminal velocity , then the very fine crystals will be carried upward and the coarse particle will settle.
All particles with terminal falling velocities less than the upward velocity of the fluid will be carried away.
The upward velocity is less than terminal velocity of the coarse crystals, therefore the coarse crystals will settle.
The upward velocity is more than terminal velocity of the very fine crystals, therefore the very fine crystals will be carried away.2nd explanation
Incorrect
1st explanation
If velocity < Terminal velocity , then the very fine crystals will be carried upward and the coarse particle will settle.
All particles with terminal falling velocities less than the upward velocity of the fluid will be carried away.
The upward velocity is less than terminal velocity of the coarse crystals, therefore the coarse crystals will settle.
The upward velocity is more than terminal velocity of the very fine crystals, therefore the very fine crystals will be carried away.2nd explanation

Question 34 of 65
34. Question
1 pointsCategory: MECHANICAL OPERATIONS100 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
Correct
1st explanation
P2/100 = 0.707 , P2 =70.7 KW
2nd explanation
Incorrect
1st explanation
P2/100 = 0.707 , P2 =70.7 KW
2nd explanation

Question 35 of 65
35. Question
1 pointsCategory: THERMODYNAMICSCalculate 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/molK) is expressed as Cp = 20 + 0.005 T, where T is in K. Assume no phase change. __________
Correct
1st explanation
Specific heat is the amount of heat required to raise the temperature of one mole of a substance by one degree.
n = 1 mole
Cp = 20 + 0.005 T
T1 = 373 K
T2 = 1273 KQ = 21.703 KJ
2nd explanation
Incorrect
1st explanation
Specific heat is the amount of heat required to raise the temperature of one mole of a substance by one degree.
n = 1 mole
Cp = 20 + 0.005 T
T1 = 373 K
T2 = 1273 KQ = 21.703 KJ
2nd explanation

Question 36 of 65
36. Question
1 pointsCategory: HEAT TRANSFERIn a double pipe 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
Correct
1st explanation
q = m Cp ΔT
For hot liquid
Similarly cold fluid outlet temperature is calculated to be 60 °C
New LMTD = 40 ºC
As at both the ends of the heat exchanger the temperature differences are 40 °C (10060 and 8040), LMTD is calculated by taking arithmetic mean.
2nd explanation
Incorrect
1st explanation
q = m Cp ΔT
For hot liquid
Similarly cold fluid outlet temperature is calculated to be 60 °C
New LMTD = 40 ºC
As at both the ends of the heat exchanger the temperature differences are 40 °C (10060 and 8040), LMTD is calculated by taking arithmetic mean.
2nd explanation

Question 37 of 65
37. Question
1 pointsCategory: MASS TRANSFERThe vaporliquid equilibrium curve of a binary mixture AB, 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 fraction of A in vapor. 100 moles of a feed (xA,F = 0.28) is batch distilled to a final residue (xA,W = 0.2). 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 __________Correct
1st explanation
Rayleigh Equation,
W= 66.87 moles
2nd explanation
Incorrect
1st explanation
Rayleigh Equation,
W= 66.87 moles
2nd explanation

Question 38 of 65
38. Question
2 pointsCategory: MASS TRANSFERA 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. is given by
Correct
1st explanation
For Cross Current Cascade Equilibrium relation is
2nd explanation
Incorrect
1st explanation
For Cross Current Cascade Equilibrium relation is
2nd explanation

Question 39 of 65
39. Question
2 pointsCategory: MASS TRANSFERA 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 :
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?
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 40 of 65
40. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGThe gas phase decomposition of azomethane to give ethane and nitrogen takes place according to the following sequence of elementary reactions
Using the pseudosteadystateapproximation 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 ____ .
Correct
Incorrect

Question 41 of 65
41. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGA 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 ______ .
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 42 of 65
42. Question
2 pointsCategory: CHEMICAL TECHNOLOGYMatch the reactantproduct combination in Group 1 with the unit process in Group 2.
Group 1 Group 2
(P) propylene – butanol (1) Pyrolysis
(Q) cumene – phenol (2) Dehydrogenation
(R) butane – butadiene (3) Hydroformylation
(S) ethylene dichloride – vinyl chloride (4) PeroxidationCorrect
(P) Propylene – butanol → (3) Hydroformlysation
(Q) Cumene – phenol → (4) Peroxidation
(R) Butane butadiene → (2) Dehydrogenation
(S) Tehylene dicholoride –Vinylchloride → (1) PyrolysisIncorrect
(P) Propylene – butanol → (3) Hydroformlysation
(Q) Cumene – phenol → (4) Peroxidation
(R) Butane butadiene → (2) Dehydrogenation
(S) Tehylene dicholoride –Vinylchloride → (1) Pyrolysis 
Question 43 of 65
43. Question
2 pointsCategory: CHEMICAL TECHNOLOGYIdentify 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 bicarbonateCorrect
Ammonium carbamate is the main intermediate product during manufacturing of urea from NH3.
Incorrect
Ammonium carbamate is the main intermediate product during manufacturing of urea from NH3.

Question 44 of 65
44. Question
2 pointsCategory: PROCESS CONTROLA 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
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 45 of 65
45. Question
2 pointsCategory: PROCESS CONTROLA 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.) ____ .
Correct
1st explanation
Volume flow rate,
When H= % opening of stem is fraction
Vmax= Maximum volumetric flow rate
l=turndown nation.2nd explanation
Incorrect
1st explanation
Volume flow rate,
When H= % opening of stem is fraction
Vmax= Maximum volumetric flow rate
l=turndown nation.2nd explanation

Question 46 of 65
46. Question
2 pointsCategory: ECONOMICSThe 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 sixtenths factor rule for scaling and the cost index for 2006 as 430.2 . The projected cost index for the year 2013 is 512.6 .
Correct
1st explanation
From six tenth rule :
Cost of heat exchange in 2006=
Cost of heat exchanger in 2013=
2nd explanation
Incorrect
1st explanation
From six tenth rule :
Cost of heat exchange in 2006=
Cost of heat exchanger in 2013=
2nd explanation

Question 47 of 65
47. Question
2 pointsCategory: PLANT DESIGNA 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.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 ____ .
Correct
1st explanation
Daily profit = selling price – cost price
2nd explanation
Incorrect
1st explanation
Daily profit = selling price – cost price
2nd explanation

Question 48 of 65
48. Question
2 pointsCategory: PROCESS CALCULATIONSCommon Data Questions: 48 & 49
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.48 The value of CR in mg/L, up to one digit after the decimal point, is ___ .
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 49 of 65
49. Question
2 pointsCategory: PROCESS CALCULATIONSCommon Data Questions: 48 & 49
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.49 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
Correct
Incorrect

Question 50 of 65
50. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGCommon Data Questions: 50 & 51
Liquid reactant A decomposes as follows :
An aqueous feed of composition mol/m³ enters a CSTR in which the above reactions occur. Assume isothermal and steady state conditions.
Q.50 If the conversion of A is 80 %, the concentration of R in the exit stream in mol/m³, to the nearest integer, is ______ .Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 51 of 65
51. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGCommon Data Questions: 50 & 51
Liquid reactant A decomposes as follows :
An aqueous feed of composition mol/m³ enters a CSTR in which the above reactions occur. Assume isothermal and steady state conditions.Q.51 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?
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 52 of 65
52. Question
2 pointsCategory: MASS TRANSFERStatement for Linked Answer Questions 52 and 53.
The vapor liquid equilibrium relation for an ideal binary system is given by . Here xA and yA* are the mole fractions of species A in the liquid and vapor, respectively. The relative volatility (αAB) is greater than unity.
Q.52 The liquid mole fraction xA at which the maximum difference between the equilibrium vapor mole fraction and liquid mole fraction occurs isCorrect
Incorrect

Question 53 of 65
53. Question
2 pointsCategory: MASS TRANSFERStatement for Linked Answer Questions 52 and 53.
The vapor liquid equilibrium relation for an ideal binary system is given by . Here xA and yA* are the mole fractions of species A in the liquid and vapor, respectively. The relative volatility (αAB) is greater than unity.Q 53 . 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 αAB is 2.5, the fraction of the feed vaporized is
Correct
Incorrect

Question 54 of 65
54. Question
2 pointsCategory: PROCESS CONTROLStatement for Linked Answer Questions 54 and 55.
Consider the following transfer function .(Note: The unit of the process time constant is in seconds)
Q.54 The crossover frequency (in rad/s) of the process is
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Question 55 of 65
55. Question
2 pointsCategory: PROCESS CONTROLStatement for Linked Answer Questions 54 and 55.
Consider the following transfer function .(Note: The unit of the process time constant is in seconds)
Q.55 For the computation of ZieglerNichols settings, the ultimate period (in s/cycle) and the ultimate gain are
Correct
Incorrect

Question 56 of 65
56. Question
1 pointsCategory: APTITUDEGeneral Aptitude (GA) Questions :
Q.56 – Q.60 carry one mark each
If 3 ≤ X ≤ 5 and 8 ≤ Y ≤ 11 then which of the following options is TRUE?Correct
Incorrect

Question 57 of 65
57. Question
1 pointsCategory: APTITUDEThe Headmaster ___________ to speak to you.
Which of the following options is incorrect to complete the above sentence?Correct
Incorrect

Question 58 of 65
58. Question
1 pointsCategory: APTITUDEMahatama Gandhi was known for his humility as
Correct
Incorrect

Question 59 of 65
59. Question
1 pointsCategory: APTITUDECorrect
Incorrect

Question 60 of 65
60. Question
1 pointsCategory: APTITUDESelect the pair that best expresses a relationship similar to that expressed in the pair:
water: pipe::Correct
Incorrect

Question 61 of 65
61. Question
2 pointsCategory: APTITUDEVelocity of an object fired directly in upward direction is given by V = 80 − 32t , where t (time) is in seconds. When will the velocity be between 32 m/sec and 64 m/sec?
Correct
Incorrect

Question 62 of 65
62. Question
2 pointsCategory: APTITUDEIn a factory, two machines M1 and M2 manufacture 60% and 40% of the auto components respectively. Out of the total production, 2% of M1 and 3% of M2 are found to be defective. If a randomly drawn auto component from the combined lot is found defective, what is the probability that it was manufactured by M2?
Correct
Incorrect

Question 63 of 65
63. Question
2 pointsCategory: APTITUDEFollowing 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?
Correct
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Question 64 of 65
64. Question
2 pointsCategory: APTITUDECorrect
Incorrect

Question 65 of 65
65. Question
2 pointsCategory: APTITUDEAll professors are researchers
Some scientists are professors
Which of the given conclusions is logically valid and is inferred from the above arguments:Correct
Incorrect
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