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Chemical Engineering Gate 2008
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 CHEMICAL REACTION ENGINEERING 0%
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 FLUID MECHANICS 0%
 HEAT TRANSFER 0%
 INSTRUMENTATION 0%
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 MATHEMATICS 0%
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 85
 Answered
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Question 1 of 85
1. Question
1 pointsCategory: MATHEMATICSWhich ONE of the following is NOT an integrating factor for the differential equation xdy – ydx = 0 ?
Correct
Incorrect

Question 2 of 85
2. Question
1 pointsCategory: MATHEMATICSWhich ONE of the following is NOT a solution of the differential equation
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 3 of 85
3. Question
1 pointsCategory: MATHEMATICSThe limit of is
Correct
1st explanation
The magnitude of sin x varies between 1 to +1
2nd explanation
Incorrect
1st explanation
The magnitude of sin x varies between 1 to +1
2nd explanation

Question 4 of 85
4. Question
1 pointsCategory: MATHEMATICSThe unit normal vector to the surface of the sphere x² + y² + z² = 1 at the point is (i, j, k are unit normal vectors in the Cartesian coordinate system)
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 5 of 85
5. Question
1 pointsCategory: MATHEMATICSA nonlinear function f(x) is defined in the interval –1.2 < x < 4 as illustrated in the figure below. The equation f(x) = 0 is solved for x within this interval by using the Newton – Raphson iterative scheme. Among the initial guesses (I1, I2, I3 and I4), the guess that is likely to lead to he root most rapidly is
Correct
The tangent at a point on the curve corresponding to the initial guess I3 will intersect the x axis very close to the root in the first iteration itself.
Incorrect
The tangent at a point on the curve corresponding to the initial guess I3 will intersect the x axis very close to the root in the first iteration itself.

Question 6 of 85
6. Question
1 pointsCategory: THERMODYNAMICSFor a Carnot refrigerator operating between 40°C and 25°C, the coefficient of performance is
Correct
1st explanation
Coefficient of performance = Tc/(ThTc) = (273.15 +25) /((273.15+40) – (273.15+25)) = 19.88
2nd explanation
Incorrect
1st explanation
Coefficient of performance = Tc/(ThTc) = (273.15 +25) /((273.15+40) – (273.15+25)) = 19.88
2nd explanation

Question 7 of 85
7. Question
1 pointsCategory: THERMODYNAMICSThe work done by one mole of a vanderWaals fluid undergoing reversible isothermal expansion from initial volume Vi to final volume Vf is
Correct
1st explanation
Van der waals equation of state
2nd explanation
Incorrect
1st explanation
Van der waals equation of state
2nd explanation

Question 8 of 85
8. Question
1 pointsCategory: MASS TRANSFERFor a system containing species P, Q and R, composition at point k on the ternary plot is
Correct
Incorrect

Question 9 of 85
9. Question
1 pointsCategory: FLUID MECHANICSThree containers are filled with water up to the same height as shown. The pressures at the bottom of the containers are denoted as P1, P2 and P3. Which ONE of the following relationships is true ?
Correct
Incorrect

Question 10 of 85
10. Question
1 pointsCategory: FLUID MECHANICSLosses for flow through valves and fittings are expressed in terms of
Correct
Incorrect

Question 11 of 85
11. Question
1 pointsCategory: FLUID MECHANICSTo determine the performance of a compressor, a standardized test is performed. In the testing process,when the compressor is under operation, “shut off’ term signifies
Correct
Incorrect

Question 12 of 85
12. Question
1 pointsCategory: FLUID MECHANICSGiven a pipe of diameter D, the entrance length necessary; to achieve fully developed laminar flow is proportional to (NRe is Reynolds number).
Correct
Incorrect

Question 13 of 85
13. Question
1 pointsCategory: FLUID MECHANICSFor laminar flow conditions, the relationship between the pressure drop (ΔPc) across an incompressible filter cake and the specific surface area (So) of the particles being filtered in given by ONE of the following :
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 14 of 85
14. Question
1 pointsCategory: MECHANICAL OPERATIONSThe power required for size reduction in crushing is
Correct
Rittinger’s law
Incorrect
Rittinger’s law

Question 15 of 85
15. Question
1 pointsCategory: HEAT TRANSFERTransient threedimensional heat conduction is governed by ONE of the following differential equations (α – thermal diffusivity, k – thermal conductivity and ψ – volumetric rate of heat generation).
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 16 of 85
16. Question
1 pointsCategory: MASS TRANSFERIn a countercurrent gas absorber, both the operating and equilibrium relations are linear. The inlet liquid composition and the exit gas composition are maintained constant. In order to increase the absorption factor
Correct
Incorrect

Question 17 of 85
17. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGA species (A) reacts on a solid catalyst to produce R and S as follows :
1) A → R rR = k1 C²A
2) A → S rS = k2 C²AAssume film resistance to mass transfer is negligible. The ratio of instantaneous fractional yield of R in the presence of pore diffusion to that in the absence of pore diffusion is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 18 of 85
18. Question
1 pointsCategory: ECONOMICSFor the case of single lumpsum capital expenditure of Rs. 10 crores which generates a constant annual cash flow of Rs. 2 crores in each subsequent year, the payback period (in years), if the scrap value of the capital outlay is zero is
Correct
Payback period in years = Capital expenditure in Rs crores/Annual cash flow in Rs crores =10/2 = 5
Incorrect
Payback period in years = Capital expenditure in Rs crores/Annual cash flow in Rs crores =10/2 = 5

Question 19 of 85
19. Question
1 pointsCategory: ECONOMICSThe relation between capital rate of return ratio (CRR), net present value (NPV) and maximum cumulative expenditure (MCE) is
Correct
Incorrect

Question 20 of 85
20. Question
1 pointsCategory: CHEMICAL TECHNOLOGYWhich ONE of the following is NOT a major constituent of crude oil ?
Correct
Incorrect

Question 21 of 85
21. Question
1 pointsCategory: MATHEMATICSWhich ONE of the following transformations {u = f(y)} reduces to a linear differential equation? (A and B are positive constants)
Correct
Incorrect

Question 22 of 85
22. Question
1 pointsCategory: MATHEMATICSThe Laplace transform of the function f(t) = t sin t is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 23 of 85
23. Question
1 pointsCategory: MATHEMATICSThe value of the surface integral evaluated over the surface of a cube having sides of length a is (n is unit normal vector).
Correct
Incorrect

Question 24 of 85
24. Question
1 pointsCategory: MATHEMATICSThe first four terms of the Taylor series expansion of Cos x about the point x = 0 are
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 25 of 85
25. Question
1 pointsCategory: MATHEMATICSIf then the eigen values of A³ are
Correct
Incorrect

Question 26 of 85
26. Question
1 pointsCategory: MATHEMATICSAn analytic function w(z) is defined as w = u + iv, where i = √ 1 and z = x + iy. If the real part is given by , w(z) is
Correct
Incorrect

Question 27 of 85
27. Question
1 pointsCategory: MATHEMATICSThe normal distribution is given by . The points of inflexion to the normal curve are
Correct
Incorrect

Question 28 of 85
28. Question
1 pointsCategory: MATHEMATICSUsing Simpson’s 1/3 rule and FOUR equally spaced intervals (n = 4), estimate the value of the integral
Correct
Incorrect

Question 29 of 85
29. Question
1 pointsThe following differential equation is to be solved numerically by the Euler’s explicit method with y(0) = 1; A step size of 0.1 is used. The solution for y at x = 0.1 is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 30 of 85
30. Question
1 pointsCategory: MATHEMATICSThe Poisson distribution is given by The first moment about the origin for the distribution is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 31 of 85
31. Question
2 pointsCategory: PROCESS CALCULATIONSCorrect
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 32 of 85
32. Question
2 pointsCategory: PROCESS CALCULATIONSCorrect
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 33 of 85
33. Question
2 pointsCategory: PROCESS CALCULATIONS600 kg/hr of saturated steam at 1 bar (enthalpy 2675.4 kJ/kg) is mixed adiabatically with superheated steam at 450°C and 1 bar (enthalpy 3382.4 kJ/kg). The product is superheated steam at 350°C and 1 bar (enthalpy 3175.6 kJ/kg). The flow rate of the product is
Correct
1st explanation
\
2nd explanation
Incorrect
1st explanation
\
2nd explanation

Question 34 of 85
34. Question
2 pointsCategory: PROCESS CALCULATIONSCorrect
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 35 of 85
35. Question
2 pointsCategory: THERMODYNAMICSThe molar volume (v) of a binary mixture, of species 1 and 2 having mole fractions x1 and x2 respectively is given by v = 220 x1 + 180 x2 + x1 x2 (90 x1 + 50 x2). The partial molar volume of species 2 at x2 = 0.3 is
Correct
1st explanation
2ndexplanation
Incorrect
1st explanation
2ndexplanation

Question 36 of 85
36. Question
2 pointsCategory: THERMODYNAMICSCorrect
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 37 of 85
37. Question
2 pointsCategory: FLUID MECHANICSA cylindrical vessel with hemispherical ends is filled with water as shown in the figure. The head space is pressurized to a gauge pressure of 40 kN/m². The vertical forces F (in kN) tending to lift the top dome and the absolute pressure P (in kN/m²) at the bottom of the vessel are (g = 9.8 m/s², density of water = 1000 kg/m³)
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 38 of 85
38. Question
2 pointsCategory: FLUID MECHANICSA pump draws oil (specific gravity 0.8) from a storage tank and discharges it to an overhead tank. The mechanical energy delivered by the pump to the fluid is 50 J/kg. The velocities at the suction and the discharge points of the pump are 1 m/s and 7 m/s, respectively. Neglecting friction losses and assuming kinetic energy correction factor to be unity, the pressure developed by the pump (in kN/m²) is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 39 of 85
39. Question
2 pointsCategory: FLUID MECHANICSMatch the following :
(P) Euler number (1) Viscous force / Inertial force
(Q) Froude number (2) Pressure force / Inertial force
(R) Weber number (3) Inertial force / Gravitational force
(4) Inertial force / Surface tension forceCorrect
Incorrect

Question 40 of 85
40. Question
2 pointsCategory: FLUID MECHANICSCorrect
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 41 of 85
41. Question
2 pointsCategory: FLUID MECHANICSTwo identically sized spherical particles A and B having densities ρA and ρB, respectively; are settling in a fluid of density ρ. Assuming free settling under turbulent flow conditions, the ratio of the terminal settling velocity of particle A to that of particle B is given by
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 42 of 85
42. Question
2 pointsCategory: MECHANICAL OPERATIONSConsider the scaleup of a cylindrical baffled vessel configured to have the standard geometry (i.e. Height = Diameter). In order to maintain an equal rate of mass transfer under turbulent conditions for a Newtonian fluid, the ratio of the agitator speeds should be (Given N1, D1 are agitator speed and vessel diameter before scaleup; N2, D2 agitator speed and vessel diameter after scaleup)
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 43 of 85
43. Question
2 pointsCategory: HEAT TRANSFERTwo plates of equal thickness (t) and crosssectional area, are joined together to form a composite as shown in the figure. If the thermal conductivities of the plates are k and 2k then, the effective thermal conductivity of the composite is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 44 of 85
44. Question
2 pointsCategory: HEAT TRANSFERA metallic ball (ρ = 2700 kg/m³ and Cp = 0.9 kJ/kg °C) of diameter 7.5 cm is allowed to cool in air at 25°C. When the temperature of the ball is 125°C, it is found to cool at the rate of 4°C per minute. If thermal gradients inside the ball are neglected, the heat transfer coefficient (in W/m² °C) is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 45 of 85
45. Question
2 pointsCategory: HEAT TRANSFERHow liquid is flowing at a velocity of 2 m/s through a metallic pipe having an inner diameter of 3.5 cm and length 20 m. The temperature at the inlet of the pipe is 90°C. Following data is given for liquid at 90°C.
Density = 950 kg/m³ ;
Specific heat = 4.23 kJ/kg °C
Viscosity = 2.55 x 10^4 kg/m.s;
Thermal conductivity = 0.685 W/m °C
The heat transfer coefficient (in W/m² °C) inside the tube isCorrect
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 46 of 85
46. Question
2 pointsCategory: HEAT TRANSFERThe temperature profile for heat transfer from one fluid to another separated by a solid wall is
Correct
Incorrect

Question 47 of 85
47. Question
2 pointsCategory: MASS TRANSFERCorrect
Incorrect

Question 48 of 85
48. Question
2 pointsCategory: MASS TRANSFERIn a binary mixture containing components A and B, the relative volatility of A with respect to B is 2.5 when mole fractions are used. The molecular weights of A and B are 78 and 92 respectively. If the compositions are however expressed in mass fractions the relative volatility will then be
Correct
For binary mixture, the equation for relative volatility in terms of mole fraction and mass fraction are identical .
Incorrect
For binary mixture, the equation for relative volatility in terms of mole fraction and mass fraction are identical .

Question 49 of 85
49. Question
2 pointsCategory: MASS TRANSFERAn ideal flash vaporization is carried out with a binary mixture at constant temperature and pressure. A process upset leads to an increase in the mole fraction of the heavy component in the feed. The flash vessel continuous to operate at the previous temperature and pressure and still produces liquid and vapor. After steady state is reestablished,
Correct
Incorrect

Question 50 of 85
50. Question
2 pointsCategory: MASS TRANSFERA batch distillation operation is carried out to separate a feed containing 100 moles of a binary mixture of A and B. The mole fraction of A in the feed is 0.7. The distillation progresses until the mole fraction of A in the residue decreases to 0.6. The equilibrium cure in this composition range may be linearized to y* = 0.7353 x + 0.3088. Here x and y are the mole fractions of the more volatile component A in the liquid and vapor phases respectively. The number of moles of residue is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 51 of 85
51. Question
2 pointsCategory: MASS TRANSFERA packed tower containing Berl saddles is operated with a gasliquid system in the countercurrent mode. Keeping the gas flow rate constant, if the liquid flow rate is continuously increased,
Correct
Incorrect

Question 52 of 85
52. Question
2 pointsCategory: MASS TRANSFERA sparingly soluble solute in the form of a circular disk is dissolved in an organic solvent s shown in the figure. The area available for mass transfer from the disk is A and the volume of the initially pure organic solvent is V. The disk is rotated along the horizontal plane at a fixed rpm to produce a uniform concentration of the dissolving solute in the liquid. The convective mass transfer coefficient under these conditions is kc. The equilibrium concentration of the solute in the solvent is C*. The time required for the concentration to reach 1% of the saturation value is given by
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 53 of 85
53. Question
1 pointsCategory: MASS TRANSFERCorrect
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 54 of 85
54. Question
2 pointsCategory: MASS TRANSFERA feed (F) containing a solute is contacted with a solvent (S) in an ideal stage as shown in the diagram below. Only the solute transfers into the solvent. The flow rates of all the streams are shown on a solute free basis and indicated by the subscript S. The compositions of the streams are expressed on a mole ratio basis. The extract leaving the contactor is divided into two equal parts, one part collected as the product (P) and the other stream is recycled to join the solvent. The equilibrium relationship is Y* = 2X. The product flow rate (Ps) and composition (Yout) are
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 55 of 85
55. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGThe gas phase reaction A+3B → 2C is conducted in a PFR at constant temperature and pressure. The PFR achieves a conversion of 20% of A. The feed is a mixture of A, B and an inert I. It is found that the concentration of A remains the same throughout the reactor. Which ONE of the following ratios of inlet molar rate (FA,in: FB,in: FI,in) is consistent with this observation? Assume the reaction mixture is an ideal gas mixture.
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 56 of 85
56. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGThe elementary liquid phase series parallel reaction scheme
A → B → C
A → R
Is to be carried out in an isothermal CSTR. The rate laws are given by
rR = k′ CA
rB = k CA – kCB
Feed is pure A. The space time of the CSTR which results in the maximum exit concentration of B is given byCorrect
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 57 of 85
57. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGThe liquid phase reaction A → Products is governed by the kinetics – rA= k CA½
If the reaction undergoes 75% conversion of A in 10 minutes in an isothermal batch reactor, the time (in minutes) for complete conversion of A isCorrect
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 58 of 85
58. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGThe homogeneous reaction A + B → C is conducted in an adiabatic CSTR at 800 K so as to achieve a 30% conversion of A. The relevant specific heats and enthalpy change of reaction are given by
If the feed, a mixture of A and B, is available at 550 K, the mole fraction of A in the feed that is consistent with the above data isCorrect
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 59 of 85
59. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGThe irreversible zero order reaction A → B takes place in a porous cylindrical catalyst that is sealed at both ends as shown in the figure. Assume dilute concentration and neglect any variations in the axial direction.
The steady state concentration profile is where фo is the Thiele modulus. For фo = 4, the range of r where CA = 0 is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 60 of 85
60. Question
2 pointsCategory: PROCESS CONTROLThe unit impulse response of a first order process is given by 2e^0.5t. The gain and time constant of the process are, respectively,
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 61 of 85
61. Question
2 pointsCategory: PROCESS CONTROLA unit step input is given to a process that is represented by the transfer function . The initial value (t = 0+) of the response of the process to the step input is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 62 of 85
62. Question
2 pointsCategory: PROCESS CALCULATIONSA tank of volume 0.25 m³ and height 1 m has water flowing in at 0.05 m³/min. The outlet flow rate is governed by the relation F out= 0.1 h , where h is the height of the water in the tank in m and Fout is the outlet flow rate in m³/min. The inlet flow rate changes suddenly from its nominal value of 0.05 m³/min to 0.15 m³/min and remains there. The time (in minutes) at which the tank will begin to overflow is given by
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 63 of 85
63. Question
2 pointsCategory: PROCESS CONTROLWhich ONE of the following transfer functions corresponds to an inverse response process with a positive gain ?
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 64 of 85
64. Question
1 pointsCategory: INSTRUMENTATIONMatch the following
Group 1 Group 2
(P) Temperature (1) Hot wire anemometry
(Q) Pressure (2) Strain Gauge
(R) Flow (3) Chromatographic analyzer
(4) Pyrometer.Correct
Incorrect

Question 65 of 85
65. Question
2 pointsCategory: PROCESS CONTROLMatch the following
Group 1 Group 2
(P) Ziegler Nichols (1) Process Reaction Curve
(Q) Under damped response (2) Decay ratio
(R) Feed forward control (3) Frequency response
(4) Distribution measurement.Correct
Incorrect

Question 66 of 85
66. Question
2 pointsCategory: ECONOMICSA reactor has been installed at a cost of Rs. 50,000 and is expected to have a working life of 10 years with a scrap value of Rs. 10,000. The capitalized cost (in Rs.) of the reactor based on an annual compound interest rate of 5% is
Correct
1st explanation
=113600
2nd explanation
Incorrect
1st explanation
=113600
2nd explanation

Question 67 of 85
67. Question
2 pointsCategory: HEAT TRANSFERIn a shell and tube heat exchanger, if the shell length is LS, the baffle spacing is LB and the thickness of baffle is tb, the number of baffles on the shell side, NB, is
Correct
Incorrect

Question 68 of 85
68. Question
2 pointsCategory: CHEMICAL TECHNOLOGYMatch the unit processes in Group 1 with the industries in Group 2
Group 1 Group 2
(P) Saponification (1) Petroleum refining
(Q) Calcination (2) Synthetic fibres
(R) Alkylation (3) Cement
(4) Soaps and DetergentCorrect
Incorrect

Question 69 of 85
69. Question
2 pointsCategory: CHEMICAL TECHNOLOGYWhich ONE of the following process sequences is used in the production of synthesis gas ?
Correct
Incorrect

Question 70 of 85
70. Question
2 pointsCategory: CHEMICAL TECHNOLOGYWhich ONE of the following process sequences is used in the sugar industry ?
Correct
Incorrect

Question 71 of 85
71. Question
2 pointsCategory: PROCESS CALCULATIONSCommon Data Questions
Common Data for Questions 71, 72 and 73 :
Methane and steam are fed to a reactor in molar ratio 1 : 2. The following reactions take place,
CH4(g) + 2H2O(g) →CO2(g) + 4H2(g)
CH4(g) + H2O(g)→CO (g) + 3H2(g)
where CO2 is the desired product, CO is the undesired product and H2 is a byproduct. The exit stream has the following compositionQ71. The selectivity for desired product relative to undesired product is
Correct
Incorrect

Question 72 of 85
72. Question
2 pointsCategory: PROCESS CALCULATIONSCommon Data for Questions 71, 72 and 73 :
Methane and steam are fed to a reactor in molar ratio 1 : 2. The following reactions take place,
CH4(g) + 2H2O(g) →CO2(g) + 4H2(g)
CH4(g) + H2O(g)→CO (g) + 3H2(g)
where CO2 is the desired product, CO is the undesired product and H2 is a byproduct. The exit stream has the following compositionQ72. The fractional yield of CO2 is
(where fractional yield is defined as the ratio of moles of the desired product formed to the moles that would have been formed if there were no side reactions and the limiting reactant had reacted completely)Correct
Incorrect

Question 73 of 85
73. Question
2 pointsCategory: CHEMICAL TECHNOLOGYCommon Data for Questions 71, 72 and 73 :
Methane and steam are fed to a reactor in molar ratio 1 : 2. The following reactions take place,
CH4(g) + 2H2O(g) →CO2(g) + 4H2(g)
CH4(g) + H2O(g)→CO (g) + 3H2(g)
where CO2 is the desired product, CO is the undesired product and H2 is a byproduct. The exit stream has the following compositionQ73. The fractional conversion of methane is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 74 of 85
74. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGCommon Data for Questions 74 and 75 :
A liquid is flowing through a reactor at a constant flow rate. A step input of tracer at a molar flow rate of 1 mol/min is given to the reactor at time t =0. The time variation of the concentration (C) of the tracer at the exit of the reactor is as shown in the figure :
Q74. The volumetric flow rate of the liquid through the reactor (in L/min) isCorrect
Incorrect

Question 75 of 85
75. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGCommon Data for Questions 74 and 75 :
A liquid is flowing through a reactor at a constant flow rate. A step input of tracer at a molar flow rate of 1 mol/min is given to the reactor at time t =0. The time variation of the concentration (C) of the tracer at the exit of the reactor is as shown in the figure :Q75. The mean residence time of the fluid in the reactor (in minutes) is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 76 of 85
76. Question
2 pointsCategory: THERMODYNAMICSLinked Answer Questions : Q. 76 to Q. 85 carry two marks each
Statement for Linked Answer Questions 76 and 77 :
A binary mixture containing species 1 and 2 forms an azeotrope at 105.4°C and 1.013 bar. The liquid phase mole fraction of component 1 (x1) of this azeotrope is 0.62. At 105.4°C, the pure component vapor pressures for species 1 and 2 are 0.878 bar and 0.665 bar, respectively. Assume that the vapour phase is an ideal gas mixture. The van Laar constants, A and B, are given by the expressions :
Q76. The activity coefficients ( γ1, γ2 ) under these conditions areCorrect
Incorrect

Question 77 of 85
77. Question
2 pointsCategory: THERMODYNAMICSLinked Answer Questions : Q. 76 to Q. 85 carry two marks each
Statement for Linked Answer Questions 76 and 77 :
A binary mixture containing species 1 and 2 forms an azeotrope at 105.4°C and 1.013 bar. The liquid phase mole fraction of component 1 (x1) of this azeotrope is 0.62. At 105.4°C, the pure component vapor pressures for species 1 and 2 are 0.878 bar and 0.665 bar, respectively. Assume that the vapour phase is an ideal gas mixture. The van Laar constants, A and B, are given by the expressions :Q77. The van Laar constants (A, B) are
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 78 of 85
78. Question
2 pointsCategory: FLUID MECHANICSStatement for Linked Answer Questions 78 and 79 :
A siphon tube having a diameter of 2 cm draws water from a large open reservoir and discharges into the open atmosphere as shown in the figure. Assume incompressible fluid and neglect frictional losses. (g = 9.8 m/s²)Correct
Incorrect

Question 79 of 85
79. Question
2 pointsCategory: FLUID MECHANICSStatement for Linked Answer Questions 78 and 79 :
A siphon tube having a diameter of 2 cm draws water from a large open reservoir and discharges into the open atmosphere as shown in the figure. Assume incompressible fluid and neglect frictional losses. (g = 9.8 m/s²)Q79. The volumetric flow rate (in L/s) of water at the discharge is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 80 of 85
80. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGStatement for Linked Answer Questions 80 and 81 :
The liquid phase reaction A→Products is to be carried out at constant temperature in a CSTR followed by a PFR in series. The overall conversion of A achieved by the reactor system (CSTR + PFR) is 95%. The CSTR has a volume of 75 liters. Pure A is fed to the CSTR at a concentration CAO = 2 mol/liter and a volumetric flow rate of 4 liters/min. The kinetics of the reaction is given by mol/L.min
80. The conversion achieved by the CSTR isCorrect
Incorrect

Question 81 of 85
81. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGStatement for Linked Answer Questions 80 and 81 :
The liquid phase reaction A→Products is to be carried out at constant temperature in a CSTR followed by a PFR in series. The overall conversion of A achieved by the reactor system (CSTR + PFR) is 95%. The CSTR has a volume of 75 liters. Pure A is fed to the CSTR at a concentration CAO = 2 mol/liter and a volumetric flow rate of 4 liters/min. The kinetics of the reaction is given by mol/L.minQ81. The volume of the PFR required (in liters) is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 82 of 85
82. Question
1 pointsCategory: MASS TRANSFERStatement for Linked Answer Questions 82 and 83 :
A thin liquid film flows at steady state along a vertical surface as shown in the figure. The average velocity of the liquid film is 0.05 m/s. The viscosity of the liquid is 1 cP and its density is 1000 kg/m³. The initially pure liquid absorbs a sparingly soluble gas from air as it flows down. The length of the wall is 2 m and its width is 0.5 m. The solubility of the gas in the liquid is 3.4 x 10² kmol/m³ and isothermal conditions may be assumed.Q82. If the exit average concentration in the liquid is measured to be 1.4 x 10² kmol/m³, the total mass transfer rate (in kmol/s) of the sparingly soluble gas into the liquid is
Correct
Incorrect

Question 83 of 85
83. Question
2 pointsCategory: MASS TRANSFERStatement for Linked Answer Questions 82 and 83 :
A thin liquid film flows at steady state along a vertical surface as shown in the figure. The average velocity of the liquid film is 0.05 m/s. The viscosity of the liquid is 1 cP and its density is 1000 kg/m³. The initially pure liquid absorbs a sparingly soluble gas from air as it flows down. The length of the wall is 2 m and its width is 0.5 m. The solubility of the gas in the liquid is 3.4 x 10² kmol/m³ and isothermal conditions may be assumed.Q83. The mass transfer coefficient kc,avg (in m/s), averaged along the length of the vertical surface is
Correct
Incorrect

Question 84 of 85
84. Question
2 pointsCategory: PROCESS CONTROLStatement for Linked Answer Questions 84 and 85 :
The crossover frequency associated with a feedback loop employing a proportional controller to control the process represented by the transfer function (units of time is minutes) is found to be 0.6 rad/min. Assume that the measurement and valve transfer functions are unity.
Q84. The time constant, τ (in minutes) isCorrect
Incorrect

Question 85 of 85
85. Question
2 pointsCategory: PROCESS CONTROLStatement for Linked Answer Questions 84 and 85 :
The crossover frequency associated with a feedback loop employing a proportional controller to control the process represented by the transfer function (units of time is minutes) is found to be 0.6 rad/min. Assume that the measurement and valve transfer functions are unity.Q85. If the control loop is to operate at a gain margin of 2.0, the gain of the proportional controller must equal
Correct
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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