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M.E.(Chemical with specialization in Environmental Engg.)
1. The trapezoidal rule of integration when applied to ( ) will give the exact value of
the integral
A) If f(x) is a linear function of x
B) If f(x) is a quadratic function of x
C) For any f(x)
D) For no f(x)
2. The value of “a” for which the following set of equations
y+2z=0
2x+y+z=0
ax+2y=0
have non–trivial solution, is
A) 0 B) 8 C) -2 D) 3
3. The modulus of the complex number √ is
A) B) √ C) 1 D) √2
4. The Euler’s equation of motion
A) Can be derived from the Navier-Stokes equation
B) Is a statement of energy balance
C) Is a preliminary step to derive the Bernoullie’s equation
D) Cannot be applied to fluid at rest
5. Prandtl number is the ratio of
A) Mass diffusivity to thermal diffusivity
B) Momentum diffusivity to thermal diffusivity
C) Thermal diffusivity to mass diffusivity
D) Thermal diffusivity to momentum diffusivity
6. The operation of rotameter is based on
A) Variable flow area
B) Rotation of a turbine
C) Pressure drop across a nozzle
D) Pressure at a stagnation point
7. The Weber number can be used to estimate
A) Ratio of inertial forces and surface tension forces
B) Ratio of inertial forces and compressibility forces
C) Ratio of inertial forces and centrifugal forces
D) Ratio of pressure forces and surface tension forces
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8. A particle attains its terminal settling velocity when
A) Gravity force + drag force = buoyancy force
B) Gravity force = buoyancy force
C) Buoyancy force +drag force = gravity force
D) Drag force = buoyancy force
9. Toothpaste is a
A) Bingham plastic B) Pseudoplastic
C) Newtonian liquid D) Dilatent
10. Bond’s law for crushing and grinding states that the work required to form particles of
size Dpfrom very large feed is proportional to
A) Dp B) !" C) D) √!"
√#$
11. The gross energy requirement in kWh per tonne of feed needed to reduce a very large
size to such a size that 80 percent of the product passes a 100-µm screen is known as
A) The work index for crushing B) Crushing efficiency
C) Rittinger’s law D) Kick’s law
12. The power required to crush 1000 tonnes/ h of limestone (work index for limestone
=12.74) if 80 percent of the feed passes a 50.8 mm screen and 80 percent of the product
passes a 3.175 mm screen, is
A) 169.6 kW B) 1696 kW C) 1189 kW D) 11169 kW
13. What is the critical rotational speed (revolutions/sec) for a ball mill of 1.2m diameter
charged with 70mm diameter balls?
A) 0.5 B) 1.0 C) 2.76 D) 0.66
14. The energy required per unit mass to grind limestone particles of very large size to 100
microns is 12.7 kWh/tonne. An estimate (using Bond’s law) of the energy to grind the
particles from a very large size to 50 microns is
A) 6.35 kWh/tonne B) 9.0 kWh/tonne
C) 18 kWh/tonne D) 25.4 kWh/tonne
15. A sand mixture was screened through a standard 10-mesh screen. The mass fraction of
the oversize material in feed, overflow and underflow were found to be 0.38, 0.79 and
0.22, respectively. The screen effectiveness based on the undersize is
A) 0.53 B) 0.58 C) 0.22 D) 0.90
16. A horizontal piston/ cylinder arrangement is placed in a constant temperature bath. The
piston slides in the cylinder with negligible friction, and an external force holds it in place
against an initial gas pressure of 10 bar. The initial gas volume is 0.04 m3. The external
force on the piston is reduced gradually, and the gas expands isothermally as its volume
doubles. What is the work done by the gas in moving the external force if the product of
the pressure and volume of gas is always constant?
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A) 40000 ln 2 J B) 0.4ln 2J C) 40000 J D) 0.4 J
17. The specific volume of liquid water and water vapour at 100 0C and 101.325 kPa are
0.001 and 1.673 m3/kg, respectively. Heat in the amount of 22569 kJ is added to 10 kg of
water to vaporise it complete at the constant temperature of 100 0C and the constant
pressure of 101.325 kPa. The change in enthalpy for this process is
A) 20875 kJ B) 24263 kJ C) 22399.6 kJ D) 22569 kJ
18. A tank containing 20 kg of water at 20 0C is fitted with a stirrer that delivers work to the
water at the rate of 0.25 kW. For water, Cp= 4.18 kJ/kg0C. If no heat is lost from the
water, the time required to increase the temperature of water to 30 0C is equal to
A) 209 S B) 10032 S C) 1356 S D) 3344 S
19. For any adiabatic process
A) ∆U= 0 B) W=0
C) Q = 0 D) ∆U, Q and W are all zero
20. For 1 mole of an ideal gas expanding isothermally to twice its volume, the work obtained
is equal to
A) RT ln2 B) RT ln(1/2) C) RT D) 2RT
21. A Carnot cycle consists of the following steps
A) Two isothermals and two isentropics
B) Two isobarics and two isothermals
C) Two isochorics and two isobarics
D) Two isothermals and two isochorics
22. What is the order of a chemical reaction whose rate is determined by the variation of one
concentration term only?
A) Zero B) First C) Second D) Third
23. The rate constant of a first order reaction depend on the
A) Concentration of the reactant B) Temperature
C) Concentration of the product D) Time
24. The “E” curve for a non-ideal reactor defines the fraction of fluid having age between t
and t+dt
A) At the inlet
B) At the outlet
C) In the reactor
D) Averaged over the inlet and outlet
25. For a mixed flow reactor operating at steady state, the rate of reaction is given by
% ) % )
A) '& − )* B) '& + )*
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% & .)
C) . - D)
' )*
26. For a first order chemical reaction in a porous catalyst, the Thiele modulus is 10. The
effectiveness factor is approximately equal to
A) 1 B) 0.5 C) 0.1 D) 0
27. Pure A in gas phase enters a reactor. 50% of this A is converted to B through the reaction,
A 3B. Mole fraction of A in the exit stream is
A) 1/2 B) 1/3 C) 1/4 D) 1/5
28. Nylon 66 is so named because
A) The average degree of polymerisation of the polymer is 1966
B) A number of carbon atoms between two nitrogen atoms are 6
C) The number of nitrogen atoms between two carbon atoms are 6
D) The polymer was first synthesized in 1966
29. Prilling tower is found in the flow sheet for the manufacture of
A) Ammonium B) Urea
C) Superphosphate D) Triplesuperphosphate
30. Which of the following is a detergent?
A) Benzene hexachloride B) Cellulose nitrate
C) Polyvinyl chloride D) Alkyl benzene sulphonate
31. In the sulphite process for paper manufacture, the cooking liquor is
A) Magnesium bisulphite and magnesiumdicarbonate
B) Magnesium sulphite and magnesiumdicarbonate
C) Sodium sulphite and magnesium sulphite
D) Sodium sulphite, sodium bisulphite and sulphur dioxide
32. Match the unit process in Group I with industry in Group II
Group I Group II
P. Steam cracking 1. Petroleum refining
Q. Hydrocracking 2. Petrochemicals
R. Condensation 3. Polymers
4. Soaps and detergents
A) P-1, Q-2, R-3 B) P-2, Q-3, R-1
C) P-1, Q-2, R-4 D) P-2,Q-1,R-3
33. Which of the following is not likely to be a constituent of vegetable oils?
A) Citric acid B) Oleic acid
C) Stearic acid D) Glycerol
34. Production of alcohol by fermentation of molasses is an
A) Anaerobic process B) Aerobic process
C) Endothermic process D) None of these
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35. Ultimate analysis of coal determines
A) Carbon, hydrogen, nitrogen, sulphur
B) Carbon, ash, sulphur, nitrogen
C) Carbon, sulphur, volatile matter, ash
D) Carbon, volatile matter, ash, moisture
36. Absorption of SO3 in 97% H2SO4 is
A) Exothermic B) Endothermic
C) Not possible D) None of these
37. Gypsum is
A) Calcium chloride B) Potassium sulphate
C) Sodium Sulphate D) Calcium sulphate
38. Blue colour is imparted to glass by addition of
A) FeSO4 B) PbO C) CaO D) NaOH
39. A co-product during the manufacture of caustic soda by electrolysis of brine is
A) Na2CO3 B) NaHCO3 C) H2 D) N2
40. Dropwise condensation usually occurs on
A) Glazed surface B) Smooth surface
C) Oil surface D) Coated surface
41. In shell and tube heat exchanger, the corrosive liquid is generally passed from
A) Tube side B) Shell side
C) Both (A) and (B) D) None of these
42. For a given heat flow and for the same thickness, the temperature drop across the material
will be maximum for
A) Copper B) Steel
C) Glass wool D) Refractory brick
43. A steel ball of mass 1 kg and specific heat 0.4 kJ/kg 0C is at a temperature of 60 0C. It is
dropped into 1kg water at 20 0C. The final steady state temperature of water is
A) 23.5 0C B) 31 0C C) 35 0C D) 40 0C
44. A steel steamed pipe 10 cm inner diameter and 11 cm outer diameter is covered with an
insulation having a thermal conductivity of 1 W/m K. If convective heat transfer
coefficient between surface of insulation and the surrounding air is 8 W/m2 K, the critical
radius of insulation will be
A) 10 cm B) 11 cm C) 12.5 cm D) 15 cm
45. Air enters a counter flow heat exchanger at 70 0C and leaves at 40 0C. Water enters at 30
0
C and leaves at 50 0C. The LMTD in degree centigrade will be
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A) 5.65 B) 14.43 C) 19.52 D) 20.17
46. Species A is diffusing at steady state from the surface of a sphere (radius =1 cm) into a
stagnant fluid. If the diffusive flux at a distance, r= 3 cm from the center of the sphere is
27 mol/cm2 s, the diffusive flux in mol/cm2 s at distance r= 9 cm is
A) 1 B) 3 C) 9 D) 27
47. The product of Schmidt number and Prandtl number is equal to
A) Sherwood number B) Stanton number
C) Lewis number D) Reynolds number
48. Slope of the operating line for the rectifying section of distillation column is
A) ∞ B) 0 C) >1 D) <1
49. According to the penetration theory, mass transfer coefficient is directly proportional to
A) DAB B) !-/ C) !-/.0 D) !-/
1.0
50. The psychrometric ratio is defined as
2 45 23 7
A) 43 B) 2 C) D) 7 68
5 3 6 45 9:
51. Cox chart is useful in the design of
A) Distillation column B) Evaporator
C) Dryer D) Crystallizer
52. The inverse Laplace transform of ; is
<;
A) e-t/2-e-t B) 2e-t/2 - e-t C) e-t - 2e-t/2 D) e-t - e-t/2
53. The characteristic equation of a closed system using the proportional controller with gain
Kc is
12s3+19s2+8s+1+Kc=0
at the onset of instability, the value of Kc is
A) 35/3 B) 10 C) 25/3 D) 20/3
54. Match the following
Group I Group II
P. Temperature 1. Hot wire anemometry
Q. Pressure 2. Strain gauge
R. Flow 3. Chromatographic anaylser
4. Pyrometer
A) P-1, Q-2, R-3 B) P-4, Q-1, R-3
C) P-1, Q-2, R-4 D) P-4, Q-2, R-1
55. Match the following:-
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Group I Group II
P. Ziegler Nichols 1. Process reaction curve
Q. Under damped response 2. Decay ratio
R. Feed forward control 3. Frequency response
4. Disturbance measurement
A) P-3, Q-2, R-4 B) P-1, Q-2, R-3
C) P-3, Q-4, R-2 D) P-1, Q-4, R-2
56. A feedback control system is stable if all the roots of its characteristic equation have
A) Negative real parts B) Positive real parts
C) Zero real parts D) Zero or positive real parts
57. On – Off control is a particular case of
A) Proportional-integral-derivative control
B) Proportional-derivative control
C) Proportional - integral control
D) Proportional control
58. Brackets supports are the most suitable for supporting_____________ vessels
A) Thick walled vertical B) Horizontal
C) Thin spherical D) None of these
59. The function of manholes provided in the shell of a distillation column is to
A) Keep a check on the liquid gradient over the plate by direct visual observation
B) Give excess to the individual tray for cleaning, maintenance and installation
C) Guard against foaming and entrainment by dumping antifoaming agent through it
D) All (A), (B) and (C)
60. The normal range of velocity of water in pipes is
A) 0.1-0.5 m/s B) 1 – 2 m/s C) 10-50 m/s D) 15-30 m/s
61. Spherical shaped pressure vessel is considered to be the most ideal because it can
A) Withstand higher pressure for a given metallic shell thickness
B) Be fabricated very easily
C) Be designed without wind load consideration
D) Be supported very easily
62. A pump has an installed cost of Rs. 40,000/- and a 10 year estimated life. The salvage
value of the pump is zero at the end of 10 years. The pump value (in rupees), after
depreciation by double declining balance method, at the end of 6 years is
A) 4,295 B) 10,486 C) 21,257 D) 37,600
63. A sale contract signed by a chemical manufacturer is expected to generate a net cash flow
of Rs. 2,50,000/- per year at the end of each year for a period of three years. The
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applicable discount rate (interest rate) is 10%. The net present worth of the total cash
flow is Rs.
A) 7,50,000/- B) 6,83,750/- C) 6,21,500/- D) 3,32,750/-
64. The volume occupied by 1 kmol of an ideal gas at 273.15 K and 101.325 kPa is
A) 22.414 m3 B) 359 m3 C) 22414 m3 D) 35.9 m3
65. Air contains 79 mol% N2 and 21 mol% O2. Its average molecular weight is equal to
A) 28 B) 32 C) 28.84 D) 30
66. 80 kg of Na2SO4 is present in 330 kg of an aqueous solution. The solution is cooled such
that 80 kg of Na2SO4.10H2O crystal separate out. The weight fraction of Na2SO4 in the
remaining solution is
A) 0 B) 0.18 C) 0.24 D) 1
67. The products of combustion of methane in atmospheric air (21% O2 and 79% N2) have
the following composition on a dry basis
Products Mole
%
CO2 10.00
O2 2.37
CO 0.53
N2 87.10
The ratio of the moles of CH4 to the moles of O2 in the feed stream is
A) 1.05 B) 0.60 C) 0.51 D) 0.45
68. The molar composition of a gas is 15% H2, 15% O2, 45 % CO2and balance H2O. If 50%
H2O condenses the final mole percent of H2 in the gas on a dry basis will be
A) 15 B) 20 C) 17.10 D) 10
69. Biodiesel is manufactured by
A) Transesterification of triglycerides with methanol
B) Esterification of ethanol with acetic acid
C) Distillation of crude petroleum
D) Hydrocracking of reduced crude oil
70. Presence of soluble organics in polluted water causes
A) Undesirable plants growth B) Depletion of oxygen
C) Fire hazards D) Explosion hazards
71. The lowest layer of atmosphere is known as
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A) Stratosphere B) Troposphere
C) Ionosphere D) None of these
72. Turbidity of water is an indication of the presence of
A) Suspended inorganic matter B) Dissolved solids
C) Floating solids D) Dissolved gases
73. Hydraulic radius is the ratio of
A) Wetted perimeter to flow area
B) Flow area to wetted perimeter
C) Flow area to square of wetted perimeter
D) Square root of flow area to wetted perimeter
74. Check valves are used
A) At high pressure B) In bends
C) For controlling water flow D) For unidirectional flow
75. Priming is needed in a
A) Reciprocating pump B) Gear pump
C) Centrifugal pump D) Diaphragm pump
x-x-x