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Chemical Engineering Gate 2006
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 CHEMICAL REACTION ENGINEERING 0%
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 FLUID MECHANICS 0%
 HEAT TRANSFER 0%
 INSTRUMENTATION 0%
 MASS TRANSFER 0%
 MATHEMATICS 0%
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Question 1 of 85
1. Question
1 pointsCategory: MATHEMATICSThe ordinary differential equation dY/dt = f (Y) is solved using the approximation Y (t + Δt) = Y(t) + f [Y(t)] Δt. The numerical error introduced by the approximation at each step is
Correct
∴ the error introduced by the approximation at each step is proportional to (Δt)² .
Incorrect
∴ the error introduced by the approximation at each step is proportional to (Δt)² .

Question 2 of 85
2. Question
1 pointsCategory: MATHEMATICSThe trapezoidal rule of integration when applied to ∫f (x)dx will given the exact value of the integral
Correct
Incorrect

Question 3 of 85
3. Question
1 pointsCategory: MATHEMATICSThe value of α for which the following three vectors are coplanar is
a = i + 2j + k , b = 3j + k , c = 2i + α j
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 4 of 85
4. Question
1 pointsCategory: MATHEMATICSThe derivative of x with respect to when x ≠ 0 is
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Incorrect
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2nd explanation

Question 5 of 85
5. Question
1 pointsCategory: THERMODYNAMICSAt a given temperature and pressure, a liquid mixture of benzene and toluene is in equilibrium with its vapor. The available degree(s) of freedom is (are)
Correct
Incorrect

Question 6 of 85
6. Question
1 pointsCategory: THERMODYNAMICSA heat engine operates at 75% of the maximum possible efficiency. The ratio of the heat source temperature (in K) to the heat sink temperature (in K) is 5/3. The fraction of the heat supplied that is converted to work is
Correct
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2nd explanation
Incorrect
1st explanation
2nd explanation

Question 7 of 85
7. Question
1 pointsCategory: THERMODYNAMICSFor the isentropic expansion of an ideal gas from the initial conditions T1, T1 to the final conditions T2, T2, which ONE of the following relations is valid ? (γ = Cp/Cv)
Correct
Incorrect

Question 8 of 85
8. Question
1 pointsCategory: FLUID MECHANICSMatch the following for a centrifugal pump with impeller speed n.
(P) Capacity (1) proportional to n
(Q) Head (2) proportional to n²
(3) proportional to n³Correct
Incorrect

Question 9 of 85
9. Question
1 pointsCategory: FLUID MECHANICSThe magnitude of the force (in N) required to hold a body of volume 0.05 m³ and mass 40 kg in water (density 1000 kg/m³) at a depth of 0.1 m is (g = 9.81 m/s²).
Correct
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Incorrect
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Question 10 of 85
10. Question
1 pointsCategory: HEAT TRANSFERA stagnant liquid film of 0.4 mm thickness is held between two parallel plates. The top plate is maintained at 40ºC and the bottom plate is maintained at 30ºC. If the thermal conductivity of the liquid is 0.14 W/(m K), then the steady state heat flux (in W/m²) assuming onedimensional heat transfer is
Correct
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Incorrect
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Question 11 of 85
11. Question
1 pointsCategory: HEAT TRANSFERLet dh be the hydrodynamic entrance length for mercury in laminar flow in a pipe under isothermal conditions. Let dt be its thermal entrance length under fully developed hydrodynamic conditions. Which ONE of the following is TRUE ?
Correct
Incorrect

Question 12 of 85
12. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGThe reaction 2A + B → 2C occurs on a catalyst surface. The reactants A and B diffuse to the catalyst surface and get converted completely to the product C, which diffuses back. L The steady state molar fluxes of A, B and C are related by
Correct
Incorrect

Question 13 of 85
13. Question
1 pointsCategory: FLUID MECHANICSThe Boussinesq approximation for the fluid density in the gravitational force term is given by ONE of the following (ρref is the fluid density at the reference temperature Tref, and β is the thermal coefficient of volume expansion at Tref).
Correct
Incorrect

Question 14 of 85
14. Question
1 pointsCategory: MASS TRANSFERAn ideal single stage extraction process is used to treat 100 mol/s of an organic feed solution. The solute concentration in this solution is to be reduced from 0.5 mol% to 0.1 mol%. A pure solvent S is used. To reduce the solvent requirement by half for the same separation,
Correct
Incorrect

Question 15 of 85
15. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGAn irreversible gas phase reaction A → 5B is conducted in an isothermal batch reactor at constant pressure in the presence of an inert. The feed contains no B. If the volume of the gas at complete conversion must not exceed three times the initial volume, the minimum mole percent of the inert in the feed must be
Correct
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Question 16 of 85
16. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGA first order reversible reaction A ↔ B occurs in a batch reactor. The exponential decay of the concentration of A has the time constant.
Correct
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Question 17 of 85
17. Question
1 pointsCategory: INSTRUMENTATIONIf the absolute error in the measurement of A is ΔA and the absolute error in the measurement of B is ΔB, then the absolute error in the estimate of A – B is
Correct
Partial derivatives
Given X= f(A,B,C…)
Incorrect
Partial derivatives
Given X= f(A,B,C…)

Question 18 of 85
18. Question
1 pointsCategory: CHEMICAL TECHNOLOGYThe oxo reaction is used for converting
Correct
Incorrect

Question 19 of 85
19. Question
1 pointsCategory: CHEMICAL TECHNOLOGYIn a fluid catalytic cracking unit, the nature of the reactions occurring in the reactor and the regenerator is
Correct
Incorrect

Question 20 of 85
20. Question
1 pointsCategory: FLUID MECHANICSThe control valve characteristics for three types of control valves (P, Q and R) are given in the figure below. Match the control valve with its characteristics.
Correct
Incorrect

Question 21 of 85
21. Question
1 pointsCorrect
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Question 22 of 85
22. Question
2 pointsCategory: MATHEMATICSCorrect
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Question 23 of 85
23. Question
2 pointsCategory: MATHEMATICSCorrect
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Question 24 of 85
24. Question
2 pointsCategory: MATHEMATICSDetermine the following integral where r is the position vector field (r = i x + jy + kz) and S is the surface of a sphere of radius R.
Correct
Incorrect

Question 25 of 85
25. Question
2 pointsCategory: MATHEMATICSThe liquid surface in a cylindrical bucket of radius R rotating about its axis acquires a parabolic profile given by the equation y = a + br², where y is the height of the liquid surface from the bottom of the bucket at a radial distance r from the bucket axis. If the liquid has density ρ , then the mass of the liquid in the bucket is
Correct
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Question 26 of 85
26. Question
2 pointsCategory: MATHEMATICSCorrect
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Question 27 of 85
27. Question
2 pointsCategory: MATHEMATICSCorrect
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Incorrect
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Question 28 of 85
28. Question
3 pointsCategory: MATHEMATICSThe NewtonRaphson method is used to solve the equation, (x – 1)² + x – 3 = 0. The method will fail in the very first iteration if the initial guess is
Correct
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Question 29 of 85
29. Question
2 pointsCategory: MATHEMATICSA pair of fair dice is rolled three times. What is the probability that 10 (sum of the numbers on the two faces) will show up exactly once ?
Correct
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Question 30 of 85
30. Question
2 pointsCategory: MATHEMATICSA company purchased components from three firms P, Q, and R as shown in the table below
The components are stored together. One of the components is selected at random, and found to be defective. What is the probability that it was supplied by Firm R ?
Correct
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Question 31 of 85
31. Question
2 pointsCategory: THERMODYNAMICSMatch the following :
(a) Heat (i) State Function
(b) Internal energy (ii) Path Function
(c) Work
(d) EntropyCorrect
Incorrect

Question 32 of 85
32. Question
1 pointsCategory: THERMODYNAMICSFor a reversible exothermic gas phase reaction, A + B ↔ C, the equilibrium conversion will increase with
Correct
Incorrect

Question 33 of 85
33. Question
2 pointsCategory: THERMODYNAMICSCorrect
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Incorrect
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Question 34 of 85
34. Question
2 pointsCategory: THERMODYNAMICSPure A at 200ºC is fed to a steady state adiabatic continuous reactor at the rate of 100 kg/hr where it undergoes an exothermic reaction to give its isomer B. The product stream is at temperature 500ºC. The heat of reaction is 21 kJ/mol of A and the specific heat of the reaction mixture is constant at 35 J/(mol ºC). The conversion in the reactor is
Correct
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Question 35 of 85
35. Question
2 pointsCategory: THERMODYNAMICSThe molar density of water vapor at the normal boiling point of water is 33 mol/m3. The compressibility factor under these conditions is close to which ONE of the following? R = 8.314 J/(mol K)
Correct
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Question 36 of 85
36. Question
2 pointsCategory: FLUID MECHANICSA liquid is pumped at the flow rate Q through a pipe of length L. The pressure drop of the fluid across the pipe is ΔP, Now a lead develops at the midpoint of the length of the pipe and the fluid leaks at the rate of Q/2. Assuming that the friction factor in the pipe remains unchanged, the new pressure drop across the pipe for the same inlet flow rate (Q) will be
Correct
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Question 37 of 85
37. Question
2 pointsCategory: FLUID MECHANICSIn a laminar flow through a pipe of radius R, the fraction of the total fluid flowing through a circular cross section of radius R/2 centered at the pipe axis is
Correct
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Question 38 of 85
38. Question
2 pointsCategory: FLUID MECHANICSA fluid obeying the constitutive equation is held between two parallel plates a distance d apart. If the stress applied to the top plate is 3τ0, then the velocity with which the top plate moves relative to the bottom plate would be
Correct
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Question 39 of 85
39. Question
2 pointsCategory: FLUID MECHANICSCorrect
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Question 40 of 85
40. Question
2 pointsCategory: FLUID MECHANICSTwo spherical particles have the same outer diameter but are made of different materials. The first one (with material density ρ1) is solid, whereas the second (with material density ρ2) is a hollow sphere with the inner shell diameter equal to half the outer diameter. If both the spheres have the same terminal velocity in any fluid, then the ratio of their material densities, ρ1 / ρ2 , is
Correct
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Question 41 of 85
41. Question
2 pointsCategory: FLUID MECHANICSA filtration is conducted at constant pressure to recover solids from dilute slurry. To reduce the time of filtration, the solids concentration in the feed slurry is increased by evaporating half the solvent. If the resistance of the filter medium is negligible, the filtration time will be reduced by a factor of
Correct
Incorrect

Question 42 of 85
42. Question
2 pointsCategory: HEAT TRANSFEROne dimensional steady state heat transfer occurs from, a flat vertical wall of length 0.1 m into the adjacent fluid. The heat flux into this fluid is 21 W/m². The wall thermal conductivity is 1.73 W/(mK). If the heat transfer coefficient is 30 W/(m²K) and the Nusselt number based on the wall length is 20, then the magnitude of the temperature gradient at the wall on the fluid side (in K/m) is
Correct
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Question 43 of 85
43. Question
2 pointsCategory: MASS TRANSFERExperiments conducted with a sparingly dissolving cylinder wall in a flowing liquid yielded the following correlation for the Sherwood number. Assuming the applicability of the Chilton Colburn analogy, the corresponding correlation for heat transfer is
Correct
Incorrect

Question 44 of 85
44. Question
2 pointsCategory: HEAT TRANSFERA fluid flows through a cylindrical pipe under fully developed, steady state laminar flow conditions. The tube wall is maintained at constant temperature. Assuming constant physical properties and negligible viscous heat dissipation, the governing equation for the temperature profile is (z, axial direction; r, radial direction).
Correct
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Question 45 of 85
45. Question
2 pointsCategory: HEAT TRANSFERAn insulated cylindrical pipe of 0.2 m diameter has a surface temperature of 45ºC. It is exposed to black body surroundings at 25ºC. The emissivity and absorptivity of the insulation surface are 0.96 and 0.93 , respectively. The convective heat transfer coefficient outside the insulation surface is 3.25 W/(m²K). The StefanBoltzmann constant is 5.67 x 10^8 W/m²K^4). The surrounding fluid may be assumed to be transparent. Find the percentage contribution from, radiation to the total heat transfer rate to the surroundings.
Correct
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Question 46 of 85
46. Question
1 pointsCategory: MODERATEIn a multistage countercurrent isothermal stripping column, feed containing 0.05 mol of solute/mol of solute free oil is treated with steam. The absorption factor A = 0.65. The equilibrium relation is given by Y* = 2X, where Y* and X refer to the equilibrium mole ratio in the steam and oil phases respectively. The Kremser equation is given as follows (‘0’ refers to liquid inlet at the top, ‘Np’ refers to the last stage at the bottom).
Correct
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Question 47 of 85
47. Question
1 pointsA process fluid has to be cooled from 22ºC to 2ºC using brine in a 24 shell and tube heat exchanger shown below. The brine enters at –3ºC and leaves at 7ºC. The overall heat transfer coefficient is 500 W/m² K). The design heat load is 30 kW. The brine flows on the tube side and the process fluid on the shell side. The heat transfer area in m² is
Correct
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Question 48 of 85
48. Question
2 pointsCategory: MASS TRANSFER100 moles of a binary mixture F containing 60 mol% A (more volatile) and 40 mol% B is treated in a batch distillation still. After 1 hour, 70 moles of the distillate D is collected leaving behind the residue W. Relative volatility α is 2. The governing equation is . The average mole fraction of A in the distillate is
Correct
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Question 49 of 85
49. Question
2 pointsCategory: MASS TRANSFERA drug tablet of mass M0 administered orally at time t = 0 reaches the intestine at time t = τ without losing any mass. From the intestine, the drug is absorbed into blood. The rate of absorption is found to be proportional to the mass of the drug in the intestine with the proportionality constant k. Assuming no drug is lost from the blood, the total mass of the drug in the blood, Mb, at time t > τ is given by
Correct
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Question 50 of 85
50. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGCorrect
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Question 51 of 85
51. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGConsider the following reactions between gas A and two solid spherical particles, B and C of the same size.
A + B → gaseous product,
A + C → ash
The ash does not leave the particle C, Let t1 and t2 be the times required for A to completely consume particles B and C, respectively, If k1 and k2 are equal at all temperatures and the gas phase mass transfer resistance is negligible, thenCorrect
Incorrect

Question 52 of 85
52. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGA reaction A → B is to be conducted inn two CSTRs in series. The steady state conversion desired is Xf. The reaction rate as a function of conversion is given by r = – 1 /(1 +X). If the feed contains no B, then the conversion in the first reactor that minimizes the total volume of the two reactors is
Correct
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Question 53 of 85
53. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGConsider the following elementary reaction network
The activation energies for the individual reactions are E1 = 100 kJ/mol, E2 = 150 kJ/mol, E3 = 100 kJ/mol, and E4 = 200kJ/mol. If the feed is pure A and the desired product is C, then the desired temperature profile in a plug flow reactor in the direction of flow should be
Correct
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Question 54 of 85
54. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGThe exit gage distribution in a stirred reactor is given by . Fluid elements e1 and e2 enter the reactor at times t = 0 and t = 0 > 0, respectively. The probability that e2 exits the reactor before e1 is
Correct
Incorrect

Question 55 of 85
55. Question
2 pointsCategory: PROCESS CONTROLThe Laplace transform of the input function, X(t), given in the figure below, is given by
Correct
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Question 56 of 85
56. Question
2 pointsCategory: PROCESS CONTROLA liquid level control system is configured as shown in the figure below. If the level transmitter (LT) is direct acting and the pneumatic control valve is airtoopen, what kind of control action should the controller (LC) have and why ?
Correct
Incorrect

Question 57 of 85
57. Question
2 pointsCategory: PROCESS CONTROLA 2input, 2output process can be described in the Laplace transform domain as given below.
where U1 and U2 are the inputs and Y1 and Y2 are the outputs. The gains of the transfer functions Y1 (s) / U2 (s)
and Y2 (s) / U2 (s), respectively, areCorrect
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Question 58 of 85
58. Question
2 pointsCategory: PROCESS CONTROLA process is perturbed by a sinusoidal input, u (t) = Asin ω t. The resulting process output is. If y (0) = 0, the differential equation representing the process is
Correct
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Question 59 of 85
59. Question
1 pointsA weighing machine is calibrated at 25ºC and he output reading R (in mm) is related to the weight W (in kg) by the equation R = sW where the sensitivity s = 20 mm/kg. At a temperature of 30ºC, the weighing machine undergoes a zero drift (change in instrument output reading at zero value of weight) of +2 mm and its sensitivity changes to 20.5 mm/kg. The weighing machine when used at 30ºC shows a reading of 50 mm. The true weight in kg) of the object is
Correct
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Question 60 of 85
60. Question
2 pointsCategory: ECONOMICSIn a desalination plant, an evaporator of area 200 m² was purchased in 1996 at a cost of $3,00,000. In 2002, another evaporator of area 50 m² was added. What was the cost of the second evaporator (in $)? Assume that the cost of evaporators scales as (capacity)^0.54. The Marshall land Swift index was 1048.5 in 1996 and 1116.9 in 2002.
Correct
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Question 61 of 85
61. Question
2 pointsCategory: MECHANICAL OPERATIONSThe mixing of rubber latex solution was studied in an unbaffled mixer in the laboratory. The mixer was equipped with a six blade turbine impeller. A tyre company scales this process up using a baffled tank. The baffled tank has 3 times the diameter of the lab scale mixer. It uses the same type of impeller operated at the same speed. The relevant shape factors are also the same. Assuming that laminar conditions prevail in both cases, the power requirement in the industrial scale mixer.
Correct
Incorrect

Question 62 of 85
62. Question
2 pointsCategory: ECONOMICSDue to a 20% drop in the product selling price, the payback period of a new plant increased to 1.5 times that estimated initially, the production cost and the production rate remaining unchanged. If the production cost is Cp and the new selling price is Cs, then Cp/Cs is
Correct
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Question 63 of 85
63. Question
2 pointsCategory: ECONOMICSObtain the optimal diameter of a cylindrical storage vessel of volume V. The curved shell costs Cs (in $/m2), and the flat top and bottom plates cost Cp (in $./m²)
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Question 64 of 85
64. Question
2 pointsCategory: ECONOMICSA sale contract signed by a chemical manufacturer is expected to generate a net cash flow of $ 2,50,000 per year at the end of each year for a period of three years. The applicable discount rate (interest rate) is 10%. The net present worth of the total cash flow is $.
Correct
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Question 65 of 85
65. Question
1 pointsCategory: MASS TRANSFERA saturated vapor is fed to a distillation column at 180 kmol/hr. Both the rectifying and stripping sections of the column operate at 60% of their respective flooding velocities. The flooding velocity of the rectifying section is twice that of the stripping section. The assumptions of constant molar overflow and constant molar vapor density throughout the column are valid. If the boilup rate is 60 kmol/hr, then the relationship between the diameters of the rectifying section (dr) and the stripping section (ds) is
Correct
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Question 66 of 85
66. Question
2 pointsCategory: CHEMICAL TECHNOLOGYPair the following industrial processes with the catalysts used
P.Oxidation of oxylene to phthalic anhydride 1. V2O5
Q.Oxidation of ethanol to acetaldehyde 2. Pd
R.Oxidation of ammonia to oxides of nitrogen 3. Ag
4. PtCorrect
Incorrect

Question 67 of 85
67. Question
2 pointsCategory: CHEMICAL TECHNOLOGYPair the following reactors with their products
P.Arc Furnace 1. Citric acid
Q.Fermenter 2. Calcium carbide
R.Hydrogenator 3. Saturated fats
4. AlumCorrect
Incorrect

Question 68 of 85
68. Question
2 pointsCategory: CHEMICAL TECHNOLOGYPair the following polymers with their chain characteristics
P.HDPE 1. Very few branches
Q.LDPE 2. Short and regular branches
R.LLDPE 3. High branching with both short and long chain branchesCorrect
Incorrect

Question 69 of 85
69. Question
1 pointsChoose the most appropriate pairs from the following
P.Nitration 1. Detergent
Q.Sulphonation 2. Pulp and paper
R.Carbonation 3. Explosives
4. SugarCorrect
Incorrect

Question 70 of 85
70. Question
2 pointsCategory: CHEMICAL TECHNOLOGYMatch the following
P.Carbon disulphide 1. Nylon – 6
Q.Caprolactum 2. Nylon – 66
R.Gypsum 3. Phosphoric acid
4. Viscose rayonCorrect
Incorrect

Question 71 of 85
71. Question
2 pointsCategory: MASS TRANSFERCOMMON DATA QUESTIONS
Common Data for Questions 71, 72, 73 :
A binary distillation column separates 100 mol/hr of a feed mixture into distillate D and residue W. The
McCabeThiele diagram for this process is given below.The relative volatility for the binary system is constant at 2.4.
71. The distillate and residue flow rates (in mol/hr) areCorrect
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Question 72 of 85
72. Question
1 pointsCOMMON DATA QUESTIONS
Common Data for Questions 71, 72, 73 :
A binary distillation column separates 100 mol/hr of a feed mixture into distillate D and residue W. The
McCabeThiele diagram for this process is given below.The relative volatility for the binary system is constant at 2.4.
The ratio of liquid to vapor molar flow rates in the rectifying section isCorrect
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Question 73 of 85
73. Question
2 pointsCategory: MASS TRANSFERCOMMON DATA QUESTIONS
Common Data for Questions 71, 72, 73 :
A binary distillation column separates 100 mol/hr of a feed mixture into distillate D and residue W. The
McCabeThiele diagram for this process is given below.The relative volatility for the binary system is constant at 2.4.
The minimum number of theoretical stages (inclusive of reboiler) for this process is
Correct
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Question 74 of 85
74. Question
2 pointsCategory: PROCESS CONTROLCommon Data for Questions 74, 75 :
The block diagram of a closed loop control system is shown in the figure below. Y is the controlled
variable, D is disturbance, Ysp is the set point, G1, G2, and G3 are transfer functions, and Kc is the proportional
controller.74. The closed loop transfer function Y(s)/D(s) is given by
Correct
Incorrect

Question 75 of 85
75. Question
1 pointsCategory: PROCESS CONTROLLet G1 (s) = 1 and G2 (s) = G3 (s) = 1/(s + 1). A step change of magnitude M is made in the set point. The steady state offset of the closed loop response Y is
Correct
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Question 76 of 85
76. Question
1 pointsCategory: MASS TRANSFERLinked Answer Questions: Q. 76 to 85 carry two marks each.
Statement for Linked Answer Questions 76 & 77 :
Solvent C is used to extract solute B selectively from, 100 kg/hr feed mixture A+B in a steady state continuous process shown below. The solubility of C in the raffinate and the solubility of A in the extract are negligible. The extract is distilled to recover B in the bottom product. The overhead product is recycled to the extractor. The loss of solvent in the bottoms is compensated by make up solvent Sd. The total flow rate of the solvent stream S going to the extractor is 50 kg/hr. The mass fractions (Xi’s) of some selected streams are indicated in the figure below.76. Distillation bottoms flow rate W and solvent dosing rate Sd in kg/hr are
Correct
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Question 77 of 85
77. Question
2 pointsCategory: MASS TRANSFERLinked Answer Questions: Q. 76 to 85 carry two marks each.
Statement for Linked Answer Questions 76 & 77 :
Solvent C is used to extract solute B selectively from, 100 kg/hr feed mixture A+B in a steady state continuous process shown below. The solubility of C in the raffinate and the solubility of A in the extract are negligible. The extract is distilled to recover B in the bottom product. The overhead product is recycled to the extractor. The loss of solvent in the bottoms is compensated by make up solvent Sd. The total flow rate of the solvent stream S going to the extractor is 50 kg/hr. The mass fractions (Xi’s) of some selected streams are indicated in the figure below.77. Feed rate E to the distillation column and overhead product rate T in kg/hr are
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Question 78 of 85
78. Question
2 pointsCategory: MECHANICAL OPERATIONSStatement for Linked Answer Questions 78 & 79 :
A continuous grinder obeying the Bond crushing law grinds a solid at the rate of 1000 kg/hr from the initial diameter of 10 mm to the final diameter of 1 mm.
78. If the market now demands particles of size 0.5 mm, the output rate of the grinder (in kg/hr) for the same power input would be reduced toCorrect
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Question 79 of 85
79. Question
2 pointsCategory: MECHANICAL OPERATIONSStatement for Linked Answer Questions 78 & 79 :
A continuous grinder obeying the Bond crushing law grinds a solid at the rate of 1000 kg/hr from the initial diameter of 10 mm to the final diameter of 1 mm.79. In order to restore the output back to 1000 kg/hr, an additional grinder was installed. The two grinders can be operated either in series (configuration1) or parallel (configuration2). Compare the two configurations in terms of the additional power consumption over the case above.
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Question 80 of 85
80. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGStatement for Linked Answer Questions 80 & 81 :
Consider the diffusion of a reactant A through a cylindrical catalyst pore of radius R and length L >> R. Reactant A undergoes a zeroth order reaction on the cylindrical surface of the pore. The following equation describes changes in the concentration of A within the pore due to the axial diffusion of A and the disappearance of A due to reaction. where CA is the concentration of A at a distance x from, the pore entrance, and K is a constantQ80. If the concentration of A at the pore entrance (x = 0) is CAo, and x = L is a dead end where no reaction occurs, the concentration profile of A in the pore is given by
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Question 81 of 85
81. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGStatement for Linked Answer Questions 80 & 81 :
Consider the diffusion of a reactant A through a cylindrical catalyst pore of radius R and length L >> R. Reactant A undergoes a zeroth order reaction on the cylindrical surface of the pore. The following equation describes changes in the concentration of A within the pore due to the axial diffusion of A and the disappearance of A due to reaction. where CA is the concentration of A at a distance x from, the pore entrance, and K is a constant81. The minimum pore length for A to be completely converted within the pore is
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Question 82 of 85
82. Question
2 pointsCategory: HEAT TRANSFERStatement for Linked Answer Questions 82 & 83 :
In film condensation on a vertical plane surface, the x directional velocity distribution is given by Where δ is the film thickness at any x,82. The mass flow rate of the condensate m (x) through any axial position x per unit width of the plate is given by
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Question 83 of 85
83. Question
2 pointsCategory: HEAT TRANSFERStatement for Linked Answer Questions 82 & 83 :
In film condensation on a vertical plane surface, the x directional velocity distribution is given by Where δ is the film thickness at any x,83. Differentiate m(x) with respect to δ to get the differential increase in condensate mass dm with film thickness i.e., dm/dδ. Then obtain dm/dx assuming heat flux through the film to be due to conduction based on a linear temperature profile between the vapor and wall. Hence determine dδ/dx. Here μ1 is liquid viscosity, k1 is thermal conductivity, and λ is latent heat of condensation. Tv is the vapor temperature and Tw is the wall temperature
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Question 84 of 85
84. Question
2 pointsCategory: PROCESS CONTROLStatement for Linked Answer Questions 84 & 85 :
For the system shown below and τ2 = 2τ1When the system is excited by the sinusoidal input X(t) = sin ωt, the intermediate response Y is given by Y = A sin (ωt + ф).
Q84. If the response of Y lags behind the input X by 450 and τ1 = 1, then the input frequency ω isCorrect
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Question 85 of 85
85. Question
2 pointsCategory: PROCESS CONTROLStatement for Linked Answer Questions 84 & 85 :
For the system shown below and τ2 = 2τ1When the system is excited by the sinusoidal input X(t) = sin ωt, the intermediate response Y is given by Y = A sin (ωt + ф).
Q85. For the same input, the amplitude of the output Z will be
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