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CHEMICAL ENGINEERING GATE 2004
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Question 1 of 90
1. Question
1 pointsCategory: MATHEMATICSThe inverse Laplace transform of the function
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 2 of 90
2. Question
1 pointsCategory: MATHEMATICSThe function f (x) = 3x (x – 2) has a
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 3 of 90
3. Question
1 pointsCategory: MATHEMATICSThe complex number 2 (1 + i) can be represented in polar form as
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 4 of 90
4. Question
1 pointsCategory: MATHEMATICSThe differential equation –
Correct
Incorrect

Question 5 of 90
5. Question
1 pointsCategory: MASS TRANSFERA distillation column separates 10,000 kg/h of a benzenetoluene mixture as shown in the figure below. In the figure, XF, XD, and XW represent the weight fraction of benzene in the feed, distillate, and residue, respectively.
The reflux ratio is –
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 6 of 90
6. Question
1 pointsCategory: PROCESS CALCULATIONSThe weight fraction of methanol in an aqueous solution is 0.64. The mole fraction of methanol XM satisfies
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 7 of 90
7. Question
1 pointsCategory: THERMODYNAMICSFor an ideal gas mixture undergoing a reversible gaseous phase chemical reaction, the equilibrium constant
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 8 of 90
8. Question
1 pointsCategory: THERMODYNAMICSAs pressure approaches zero, the ratio of fugacity to pressure (f/P) for a gas approaches
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 9 of 90
9. Question
1 pointsCategory: THERMODYNAMICSA perfectly insulated container of volume V is divided into two equal halves by a partition. One side is under vacuum while the other side has one mole of an ideal gas (with constant heat capacity) at 298 K. If the partition is broken, the final temperature of the gas in the container
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 10 of 90
10. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGThe rate expression for the gaseous phase reaction is given by Which of the following is NOT possible ?
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 11 of 90
11. Question
1 pointsCategory: FLUID MECHANICSThe equivalent diameter for flow through a rectangular duct of width B and height H is
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 12 of 90
12. Question
1 pointsCategory: FLUID MECHANICSWhat is the force required (in Newtons) to hold a spherical balloon stationary in water at a depth of H from the airwater interface? The balloon is of radius 0.1 m and is filled with air.
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 13 of 90
13. Question
1 pointsCategory: MECHANICAL OPERATIONSMatch the systems in Group I with equipment used to separate them in Group II
Group I Group II
P gas – solid 1. filter press
Q liquid – liquid 2. cyclone
3. decanter
4. thicknerCorrect
Incorrect

Question 14 of 90
14. Question
1 pointsCategory: MECHANICAL OPERATIONSFor a cyclone of diameter 0.2 m with a tangential velocity of 15 m/s at the wall, the separation factor is
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 15 of 90
15. Question
1 pointsCategory: FLUID MECHANICSFor a particle settling in water at its terminal settling velocity, which of the following is true ?
Correct
Incorrect

Question 16 of 90
16. Question
1 pointsCategory: MECHANICAL OPERATIONSIn constant pressure filtration,
Correct
Incorrect

Question 17 of 90
17. Question
1 pointsCategory: HEAT TRANSFERIn forced convection, the Nusselt number Nu is a function of
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 18 of 90
18. Question
1 pointsCategory: HEAT TRANSFERFor an ideal black body
Correct
For an ideal black body
absorptivity =1 , reflectivity =0 , emmisivity =1 , transmissivity =0
Incorrect
For an ideal black body
absorptivity =1 , reflectivity =0 , emmisivity =1 , transmissivity =0

Question 19 of 90
19. Question
1 pointsCategory: MASS TRANSFERQ. 1920 are based on the data supplied in the paragraph below
Pure aniline is evaporating through a stagnant air film of 1 mm thickness at 300 K and a total pressure of 100 kPa. The vapour pressure of aniline at 300 K is 0.1 kPa. The total molar concentration under these conditions is 40.1 mol/m³. The diffusivity of aniline in air is 0.74 x 105 m²/s.19. The numerical value of the mass transfer coefficient is 7.4 x 103. Its units are
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 20 of 90
20. Question
2 pointsCategory: MASS TRANSFERQ. 1920 are based on the data supplied in the paragraph below
Pure aniline is evaporating through a stagnant air film of 1 mm thickness at 300 K and a total pressure of 100 kPa. The vapour pressure of aniline at 300 K is 0.1 kPa. The total molar concentration under these conditions is 40.1 mol/m³. The diffusivity of aniline in air is 0.74 x 105 m²/s.20. The rate of evaporation of aniline is 2.97 x 104. Its units are
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 21 of 90
21. Question
1 pointsCategory: MASS TRANSFERQ. 2122 are based on the data supplied in the paragraph below
An airwater vapour mixture has a dry bulb temperature of 60ºC and a dew point temperature of 40ºC. The total pressure is 101.3 kPa and the vapour pressures of water at 40ºC and 60ºC are 7.30 kPa and 19.91 kPa, respectively.21. The humidity of air sample expressed as kg of water vapour/kg of dry air is
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 22 of 90
22. Question
2 pointsCategory: MASS TRANSFERQ. 2122 are based on the data supplied in the paragraph below
An airwater vapour mixture has a dry bulb temperature of 60ºC and a dew point temperature of 40ºC. The total pressure is 101.3 kPa and the vapour pressures of water at 40ºC and 60ºC are 7.30 kPa and 19.91 kPa, respectively.22. The wet bulb temperature Tw for the above mixture would be
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 23 of 90
23. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGThe rate of ammonia synthesis for the reaction is given by If the reaction is represented as the rate of ammonia synthesis is
Correct
Incorrect

Question 24 of 90
24. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGAn endothermic aqueous phase first order irreversible reaction is carried out in an adiabatic plug flow reactor. The rate of reaction.
Correct
Incorrect

Question 25 of 90
25. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGA first order gaseous phase reaction is catalyzed by a nonporous solid. The kinetic rate constant and the external mass transfer coefficient are k and kg, respectively. The effective rate constant (keff) is given by
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 26 of 90
26. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGFor a packed bed reactor, the presence of a long tail in the residence time distribution curve is an indication of
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 27 of 90
27. Question
1 pointsCategory: MATHEMATICSFor the time domain function f (t)= t, the Laplace transform of is given by
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 28 of 90
28. Question
2 pointsCategory: MASS TRANSFERAcetone is to be removed from air in an isothermal dilute absorber using pure water as solvent. The incoming air contains 5 mol% of acetone (ym = 0.05). The design equation to be used for obtaining the number of trays (N) of the absorber is . For 98% recovery of acetone, the number of trays required is/are
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 29 of 90
29. Question
1 pointsCategory: MASS TRANSFERPrilling tower is found in the flowsheet for the manufacture of
Correct
Incorrect

Question 30 of 90
30. Question
1 pointsCategory: CHEMICAL TECHNOLOGYThe proper arrangement of the petroleum fractions, in the order of their boiling points is
Correct
Incorrect

Question 31 of 90
31. Question
1 pointsCategory: MATHEMATICSThe sum of the eigenvalues of the matrix . For real and negative values of X is
Correct
Incorrect

Question 32 of 90
32. Question
2 pointsCategory: MATHEMATICSThe system of equations
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1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 33 of 90
33. Question
2 pointsCategory: MATHEMATICSA box contains three blue balls and four red balls. Another identical box contains two blue balls and five red balls. One ball is picked at random, from one of the two boxes and it is red. The probability that it came from the first box is
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 34 of 90
34. Question
2 pointsCategory: MATHEMATICSThe series converges for
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Incorrect
1ST EXPLANATION

Question 35 of 90
35. Question
2 pointsCategory: MATHEMATICSThe differential equation for the variation of the amount of salt X in a tank with time t is given by . X is in kg and t is in minutes. Assuming that there is no salt in the tank initially, the time (in min) at which the amount of salt increases to 100 kg is
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1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 36 of 90
36. Question
1 pointsCategory: MATHEMATICSValue of the integral is
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Question 37 of 90
37. Question
1 pointsCategory: MATHEMATICSThe differential equation can be reduced to (where α is a constant)
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Question 38 of 90
38. Question
1 pointsCategory: MATHEMATICSThe value of
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Question 39 of 90
39. Question
2 points80 kg of Na2SO4 (molecular weight = 142) is present in 330 kg of an aqueous solution. The solution is cooled such that 80 kg of Na2SO4. 10 H2O crystals separate out. The weight fraction of Na2SO4 in the remaining solution is
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 40 of 90
40. Question
2 pointsCategory: PROCESS CALCULATIONSOne mole of methane undergoes complete combustion in a stoichiometric amount of air. The reaction proceeds as CH4 + 2O2 → CO2 + 2H2O. Both the reactants and the products are in gas phase.
Δ Hº298 = – 730 kJ/mol of methane.
40.) Mole fraction of water vapour in the product gases is aboutCorrect
1ST EXPLANATION
Incorrect
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Question 41 of 90
41. Question
2 pointsCategory: PROCESS CALCULATIONSOne mole of methane undergoes complete combustion in a stoichiometric amount of air. The reaction proceeds as CH4 + 2O2 → CO2 + 2H2O. Both the reactants and the products are in gas phase.
Δ Hº298 = – 730 kJ/mol of methane.41.) If the average specific heat of all the gases/vapour is 40 J/(mol k), the maximum temperature rise of the exhaust gses in ºC would be approximately equal to
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 42 of 90
42. Question
2 pointsCategory: MASS TRANSFERA vessel of volume 1000 m³ contains air which is saturated with water vapour. The total pressure and temperature are 100 kPa and 20ºC, respectively. Assuming that the vapour
pressure of water at 20ºC is 2.34 kPa, the amount of water vapour (in kg) in the vessel is approximatelyCorrect
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 43 of 90
43. Question
2 pointsCategory: THERMODYNAMICSThe number of degrees of freedom for an azeotropic mixture in a two component vapourliquid equilibria is/are
Correct
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Question 44 of 90
44. Question
2 pointsCategory: THERMODYNAMICSA car tyre of volume 0.057 m³ is inflated to 300 kPa at 300 K. After the car is driven for ten hours, the pressure in the tyre increases to 330 kPa. Assume air is an ideal gas and Cv for air is 21 J/(mol K). The change in the internal energy of air in the tyre in J/mol is
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 45 of 90
45. Question
2 pointsCategory: THERMODYNAMICSA gas obeys P (vb) = RT. The work obtained from reversible isothermal expansion of one mole of this gas from an initial molar volume vi to a final molar volume vf is
Correct
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Incorrect
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Question 46 of 90
46. Question
2 pointsCategory: THERMODYNAMICSA cyclic engine exchanges heat with two reservoirs maintained at 100 and 300ºC, respectively. The maximum work (in J) that can be obtained from 1000 J of heat extracted from the hot reservoir is
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 47 of 90
47. Question
2 pointsCategory: THERMODYNAMICSThe vapour pressure of water is given by where A is a constant, Psat is vapour pressure in atm, and T is temperature in K. The vapour pressure of water in atm at 500C is approximately
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 48 of 90
48. Question
2 pointsCategory: THERMODYNAMICSAt standard conditions,
The standard free energy of formation of NO in kJ/mol is
Correct
1ST EXPLANATION
Incorrect
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Question 49 of 90
49. Question
1 pointsCategory: FLUID MECHANICSViscosity of water at 40ºC lies in the range of
Correct
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Incorrect
1ST EXPLANATION

Question 50 of 90
50. Question
2 pointsCategory: FLUID MECHANICSFor the manometer setup shown in the figure, the pressure difference PA – PB is given by
Correct
Incorrect

Question 51 of 90
51. Question
2 pointsCategory: FLUID MECHANICSA conical tank with a bottom opening of crosssectional area A is filled with water and is mounted on supports, as shown in the figure. What is the force F with which plate X must be pushed up to prevent water from leaking? Assume that the density of air is negligible as compared to the density of water ρL.
Correct
Incorrect

Question 52 of 90
52. Question
2 pointsCategory: FLUID MECHANICSThree piping networks, as shown in the figure, are placed horizontally. They are made using identical pipe segments and are subjected to the same pressure drop across them. Assuming no pressure losses at junctions, the flow rates across the three networks are related as Q1 : Q2 : Q3
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 53 of 90
53. Question
2 pointsCategory: FLUID MECHANICSTo keep the power input constant for a stirred vessel operating under fully developed turbulent flow conditions (constant power number), if the impeller diameter is increased by 20%, the impeller speed should be decreased by a factor of
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 54 of 90
54. Question
1 pointsCategory: FLUID MECHANICSA centrifugal filtration unit operating at a rotational speed of ω has inner surface of the liquid (density ρL) located at a radial distance R from the axis of rotation. The thickness of the liquid film is δ and no cake is formed. The initial pressure drop during filtration is
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 55 of 90
55. Question
2 pointsCategory: FLUID MECHANICSUmf is the minimum fluidisation velocity for a bed of particles. An increase in the superficial gas velocity from, 2Umf to 2.5Umf results in (all velocities are smaller than the entrainment velocity of the particles) no change in
Correct
Incorrect

Question 56 of 90
56. Question
2 pointsCategory: FLUID MECHANICSCorrect
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Incorrect
1ST EXPLANATION

Question 57 of 90
57. Question
2 pointsCategory: MECHANICAL OPERATIONSThe cumulative mass fraction of particles smaller than size dj for a collection of Ni particles of diameter di and mass mi (I = 1, 2, 3…, ∞) is given by
Correct
Incorrect

Question 58 of 90
58. Question
2 pointsCategory: HEAT TRANSFERThe left face of a one dimensional slab of thickness 0.2 m is maintained at 80ºC and the right face is exposed to air at 30ºC. The thermal conductivity of the slab is 1.2 W/(m K) and the heat transfer coefficient from the right faced is 10 W/(m² K). At steady state, the temperature of the right face in ºC is
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 59 of 90
59. Question
2 pointsCategory: HEAT TRANSFERA metal ball of radius 0.1 m at a uniform temperature of 90ºC is left in air at 30ºC. The density and the specific heat of the metal are 3000 kg/m³ and 0.4 kJ/(kg K), respectively. The heat transfer coefficient is 50 W/m² K). Neglecting the temperature gradients inside the ball, the time taken (in hours) for the ball to cool to 60ºC is
Correct
Incorrect

Question 60 of 90
60. Question
2 pointsCategory: HEAT TRANSFERIt is desired to concentrate a 20% salt solution (20 kg of salt in 100 kg of solution) to a 30% salt solution in an evaporator. Consider a feed of 300 kg/min at 30ºC. The boiling point of the solution is 110ºC, the latent heat of vaporization is 2100 kJ/kg, and the specific heat of the solution is 4 kJ/(kg K). The rate at which heat has to be supplied (in kJ/min) to the evaporator is
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 61 of 90
61. Question
2 pointsCategory: HEAT TRANSFERHot water (0.01 m³ /min) enters the tube side of a cocurrent shell and tube heat exchanger at 80ºC and leaves at 50ºC. Cold oil (0.05 m³/min) of density 800 kg/m³ and specific heat of 2 kJ/(kg K) enters at 20ºC. The log mean temperature difference in ºC is approximately.
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 62 of 90
62. Question
2 pointsCategory: PROCESS CALCULATIONSQ. 6263 are based on the data supplied in the paragraph below
The boiling points for pure water and pure toluene are 1000C and 110. 60C, respectively. Toluene and water are completely immiscible in each other. A wellagitated equimolar mixture of toluene and water is prepared.
Q62. The temperature at which the above mixture will exert a pressure of one standard atm isCorrect
Incorrect

Question 63 of 90
63. Question
2 pointsCategory: PROCESS CALCULATIONSQ. 6263 are based on the data supplied in the paragraph below
The boiling points for pure water and pure toluene are 100ºC and 110. 6ºC, respectively. Toluene and water are completely immiscible in each other. A wellagitated equimolar mixture of toluene and water is prepared.Q63. AT a total pressure of one standard atm exerted by the vapours of water and toluene, the mole fraction of water xw in the vapour phase satisfies
Correct
Incorrect

Question 64 of 90
64. Question
2 pointsCategory: MASS TRANSFERIn a distillation operation, what is the effect of the temperature of the reflux stream (given below) on the condenser and reboiler loads ?
Reflux conditions:
(i) reflux stream is completely liquid and is at its bubble point
(ii) reflux stream is below its bubble point.Correct
Incorrect

Question 65 of 90
65. Question
2 pointsCategory: MASS TRANSFERA long cylinder and a sphere both of 5 cm diameter are made from the same porous material. The flat ends of cylinder are sealed. Both the cylinder and sphere are saturated with the same solution of sodium chloride. Later, both the objects are immersed for a short and equal interval of time in a large tank of water, which is well agitated. The fractions of salt remaining in the cylinder and the sphere are Xc and Xs, respectively. Which of the following statements is correct ?
Correct
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Incorrect
1ST EXPLANATION

Question 66 of 90
66. Question
1 pointsCategory: MASS TRANSFERIn liquidliquid extraction 10 kg of a solution containing 2 kg of solute C and 8 kg of solvent A is brought into contact with 10 kg of solvent B. Solvents A and B are completely immiscible in each other whereas solute C is soluble in both the solvents. The extraction process attains equilibrium. The equilibrium relationship between the two phases is Y* = 0.9X where Y* is kg of C/kg of B and X is kg of C/kg of A. Choose the correct answer
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 67 of 90
67. Question
2 pointsCategory: MASS TRANSFERAt equilibrium, the concentration of water is vapor phase (C*) in kg/m³ of air space and the amount of water (m) adsorbed per kg of dry silica gel are related by C* = 0.0667m. To maintain dry conditions in a room of air space 100 m³ containing 2.2 kg of water vapour initially, 10 kg of dry silica gel is kept in the room. The fraction of initial water remaining in the air space after a long time (during which the temperature is maintained constant) is
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 68 of 90
68. Question
2 pointsCategory: MASS TRANSFERA 25 cm x 25 cm x 1 cm flat sheet weighing 1.2 kg initially was dried from both sides under constant drying rate conditions. It took 1500 seconds for the weight of the sheet to reduce to 1.05 kg. Another 1 m x 1 m x 1 cm flat sheet of the same materials is to be dried from one side only. Under the same constant drying rate conditions, the time required for drying (in seconds) from its initial weight of 19.2 kg to 17.6 kg is
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 69 of 90
69. Question
2 pointsCategory: MASS TRANSFERA distillation column with N plates is being operated under normal conditions. At some point in time, the operation is shifted to total reflux condition (i.e., no product and residue are being withdrawn and feed to the column is stopped). At the new steady state,
Correct
Incorrect

Question 70 of 90
70. Question
2 pointsCategory: MASS TRANSFERAn aqueous solution of methanol is to be distilled in a tray column. Highpressure steam is available as a source of heat. For a given reflux ratio and overhead composition, two options are being explored: (i) a reboiler is used, and (ii) no reboiler is used but steam is fed directly to the bottom of the column. As compared to option (i), in option (ii).
Correct
Incorrect

Question 71 of 90
71. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGThe following gas phase reaction is taking place in a plug flow reactor,
A + ½ B → C, a stoichiometric mixture of A and B at 300 K is fed to the reactor. At 1 m along the length of the reactor, the temperature is 360 K. The pressure drop is negligible and an ideal gas behavior can be assumed. Identify the correct expression relating the concentration of A at the inlet (CAO), concentration of A at 1 m (CA) and the corresponding conversion of A (X).Correct
1ST EXPLANATION
Incorrect
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Question 72 of 90
72. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGA second order liquid phase reaction A → B is carried out in a mixed flow reactor operated in semibatch mode (no exit stream). The reactant A at concentration CAF is fed to the reactor at a volumetric flow rate of F. The volume of the reacting mixture is V and the density of the liquid mixture is constant. The mass balance for A is
Correct
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Incorrect
1ST EXPLANATION

Question 73 of 90
73. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGFor an isothermal second order aqueous phase reaction A → B, the ratio of the time required for 90% conversion to the time required for 45% conversion is
Correct
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Incorrect
1ST EXPLANATION

Question 74 of 90
74. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGAn isothermal aqueous phase reversible reaction P ⇔ R is to be carried out in a mixed flow reactor. The reaction rate in ( kmol/m³ h) is given by r = 0.5 Cp – 0.125 CR . A stream containing only P enters the reactor. The residence time required (in hours) for 40% conversion of P is
Correct
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Incorrect
1ST EXPLANATION

Question 75 of 90
75. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGA pollutant P degrades according to first order kinetics. An aqueous stream containing P at 2 kmol/m³ and volumetric flow rate 1 m³/h requires a mixed flow reactor of volume V to bring down the pollutant level to 0.5 kmol/m³. The inlet concentration of the pollutant is now doubled and the volumetric flow rate is tripled. If the pollutant level is to be brought down to the same level of 0.5 kmol/m³, the volume of the mixed flow reactor should be increased by a factor of
Correct
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Question 76 of 90
76. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGConsider a reversible exothermic reaction in a plug flow reactor. The maximum and minimum permissible temperatures are Tmax and Tmin, respectively. Which of the following temperature (T) profiles will require the shortest residence time to achieve the desired conversion ?
Correct
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Question 77 of 90
77. Question
1 pointsCategory: THERMODYNAMICSAn irreversible aqueous phase reaction A + B → P is carried out in an adiabatic mixed flow reactor. A feed containing 4 kmol/m³ of each A and B enters the reactor at 8 m³/h. If the temperature of the exit stream is never to exceed 390 K, what is the maximum feed inlet temperature allowed ?
Data : Heat of reaction = –50 kJ/mol, density of the reacting mixture = 1000 kg/m³, specific heat of reacting mixture 2 kJ/kg K.
The above data can be assumed to be independent of composition and temperature.Correct
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Incorrect
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Question 78 of 90
78. Question
2 pointsCategory: INSTRUMENTATIONMatch first order system given in Group I with the appropriate time constant in Group II.
Group I Group II
P Thermometer 1 (mCp) / (hA)
Q Mixing 2 q / V
3 V / q
4 (hA) / (mCp)Correct
Incorrect

Question 79 of 90
79. Question
2 pointsCategory: PROCESS CONTROLThe experimental response of the controlled variable y(t) for a step change of magnitude P in the manipulated variable x(t) is shown below,
The appropriate transfer function of the process is
Correct
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Incorrect
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Question 80 of 90
80. Question
2 pointsCategory: PROCESS CONTROLConsider a system with open loop transfer function
Match the range of ω (frequency) in Group I with the slope of the asymptote of the log AR (amplitude ratio) versus log ω plot in Group II.
Group I Group II
P 0 < ω < 0.2 1 – 5
Q ω > 1 2 – 3
3 – 2
4 – 1
5 zeroCorrect
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 81 of 90
81. Question
2 pointsCategory: PROCESS CONTROLThe process and disturbance transfer functions for a system are given by
The feed forward controller transfer function that will keep the process output constant for changes in disturbance isCorrect
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 82 of 90
82. Question
2 pointsCategory: PROCESS CONTROLCorrect
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 83 of 90
83. Question
2 pointsCategory: ECONOMICSQ. 8384 are based on the data supplied in the paragraph below
Fixed capital investment for a chemical plant is Rs. 40 million with an estimated useful life of 6 years and a salvage of Rs. 4 million. The rate of interest is 15%. Tax is 25% of the annual taxable income. In the first year of operation, the income from sales is Rs. 20 million and manufacturing expenses are Rs. 5 million. The plant depreciates on a straight line basis.
Q83. The rate of return on investment is given byCorrect
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 84 of 90
84. Question
2 pointsCategory: ECONOMICSQ. 8384 are based on the data supplied in the paragraph below
Fixed capital investment for a chemical plant is Rs. 40 million with an estimated useful life of 6 years and a salvage of Rs. 4 million. The rate of interest is 15%. Tax is 25% of the annual taxable income. In the first year of operation, the income from sales is Rs. 20 million and manufacturing expenses are Rs. 5 million. The plant depreciates on a straight line basis.The net present value (NPV) in million Rs. At the start and at the end of the first year of operation is respectively given by
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 85 of 90
85. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGPick the WRONG design guideline for a reactor in which the reactions A → R (desired) and A → S (undesired) are to take place. The ratio of the reaction rates is
Correct
1ST EXPLANATION
WRONG ANS IS (b)
Incorrect
1ST EXPLANATION
WRONG ANS IS (b)

Question 86 of 90
86. Question
2 pointsCategory: CHEMICAL TECHNOLOGYMultiple effect evaporators are commonly used in the manufacture of
P Paper Q Superphospate
R Sugar S FatsCorrect
Incorrect

Question 87 of 90
87. Question
2 pointsCategory: CHEMICAL TECHNOLOGYMatch the process in Group I with the product in Group II
Group I Group II
P DCDA process 1 Sodium hydroxide
Q Mercury Cell 2 Sulfuric acid
3 Sodium carbonate
4 Nitric acidCorrect
Incorrect

Question 88 of 90
88. Question
2 pointsCategory: CHEMICAL TECHNOLOGYMatch the product in Group I with the raw materials in Group II
Group I Group II
P Urea 1 Ammonia and carbon dioxide
Q Polyester 2 Dimethyl terephthalate and ethylene glycol
3 Ammonia and carbon monoxide
4 Hexamethylene diamine and adipte acid.Correct
Incorrect

Question 89 of 90
89. Question
2 pointsCategory: CHEMICAL TECHNOLOGYMatch the product in Group I with the nature of the reaction in Group II
Group I Group II
P Polyethylene 1 Condensation polymerization
Q Nylon 2 Addition polymerization
R PolystyreneCorrect
Incorrect

Question 90 of 90
90. Question
2 pointsCategory: CHEMICAL TECHNOLOGYMatch the process in Group I with the catalyst used in Group II
Group I Group II
P Sulfuric acid manufacture 1 Platinum
Q Vegetable oil hydrogenation 2 Vanadium pentoxide
3 Iron
4 Raney nickelCorrect
Incorrect
0sincostansin^{1}cos^{1}tan^{1}πex^{y}x^{3}x^{2}e^{x}10^{x}^{y}√x^{3}√x√xlnlog()1/x%n!789+MS456–M+123×M0.EXP÷MR±RNDC=MC 
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