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Chemical Engineering Gate 2009
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Question 1 of 60
1. Question
1 pointsCategory: MATHEMATICSThe direction of largest increase of the function x y³ – x² at the point (1, 1) is
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 2 of 60
2. Question
1 pointsCategory: MATHEMATICSThe modulus of the complex number is
Correct
Incorrect

Question 3 of 60
3. Question
1 pointsCategory: MATHEMATICSThe system of linear equations Ax = 0, where A is an n×n matrix, has a nontrivial solution ONLY if
Correct
Rank of A > n , not possible
Rank of A =n, trivial solution (=zero)
Rank of A < n, non trivial solution
Incorrect
Rank of A > n , not possible
Rank of A =n, trivial solution (=zero)
Rank of A < n, non trivial solution

Question 4 of 60
4. Question
1 pointsCategory: PROCESS CALCULATIONSA dehumidifier (shown below) is used to completely remove water vapor from air.
Which ONE of the following statements is TRUE ?
Correct
Water is removed completely that means down arrow will contain 100 % water that was present in wet air and right arrow contain only air i.e dry air , no water into it . so u can balance water from input stream to humidifier and down arrow water as well as air input and dry air output (right arrow) so both (water and air) are tie component . tie component mean it is unreacted through out process . like nitrogen is taken tie component in combustion.
Incorrect
Water is removed completely that means down arrow will contain 100 % water that was present in wet air and right arrow contain only air i.e dry air , no water into it . so u can balance water from input stream to humidifier and down arrow water as well as air input and dry air output (right arrow) so both (water and air) are tie component . tie component mean it is unreacted through out process . like nitrogen is taken tie component in combustion.

Question 5 of 60
5. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGDehydrogenation of ethane, , is carried out in a continuous stirred tank reactor (CSTR). The feed is pure ethane. If the reactor exit stream contains unconverted ethane along with the products, then the number of degrees of freedom for the CSTR is
Correct
Degree of freedom = C P + 2 r s =31+211 =2
Incorrect
Degree of freedom = C P + 2 r s =31+211 =2

Question 6 of 60
6. Question
1 pointsCategory: THERMODYNAMICSAn ideal gas at temperature T1 and pressure P1 is compressed isothermally to pressure P2 (> P1) in a closed system. Which ONE of the following is TRUE for internal energy (U) and Gibbs free energy (G) of the gas at the two states ?
Correct
Internal energy (U) is function of temperature which is constant so U will be constant (U1=U2)
ΔG ,Gibbs free energy change = nRT ln (P2/P1) ,
since P2>P1 , ΔG will be positive that means G2G1 >0
or G2>G1
Incorrect
Internal energy (U) is function of temperature which is constant so U will be constant (U1=U2)
ΔG ,Gibbs free energy change = nRT ln (P2/P1) ,
since P2>P1 , ΔG will be positive that means G2G1 >0
or G2>G1

Question 7 of 60
7. Question
1 pointsCategory: FLUID MECHANICSUnder fully turbulent flow conditions, the frictional pressure drop across a packed bed varies with the superficial velocity (V) of the fluid as
Correct
Incorrect

Question 8 of 60
8. Question
1 pointsCategory: FLUID MECHANICSFor a mixing tank operating in the laminar regime, the power number varies with the Reynolds number (Re) as
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 9 of 60
9. Question
1 pointsCategory: HEAT TRANSFERDuring the transient convective cooling of a solid object, Biot number → 0 indicates
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION
Hint

Question 10 of 60
10. Question
1 pointsCategory: HEAT TRANSFERThe Prandtl number of a fluid is the ratio of
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 11 of 60
11. Question
1 pointsCategory: HEAT TRANSFERAccording to the penetration theory of mass transfer, the mass transfer coefficient (k) varies with diffusion coefficient (D) of the diffusing species as
Correct
1ST EXPLANATION
Penetration theory : the mass transfer coefficient is proportional to the square root of the diffusivity
2ND EXPLANATION
Incorrect
1ST EXPLANATION
Penetration theory : the mass transfer coefficient is proportional to the square root of the diffusivity
2ND EXPLANATION

Question 12 of 60
12. Question
1 pointsCategory: MASS TRANSFERThe ratio of the liquid to gas flow rate in a countercurrent gas absorption column is increased, at otherwise identical conditions. Which ONE of the following statements is TRUE ?
Correct
1ST EXPLANATION
CounterCurrent Gas Absorption
Refer to the Figure below for a dilute system:
Notations : In terms of mole fraction and total flow rates
y : mole fraction of solute A in the gas phase
x : mole fraction of solute A in the liquid phase
G : total molar flowrate of the gas stream (gas flux), kgmoles/m².s
L : total molar flowrate of the liquid stream, kgmoles/m².sGy and Lx are the molar flow rates of A in the gas and liquid respectively (kgmoles A/m².s) at any point inside the column.
Inside the column, mass transfer takes place as the solute (component A) is absorbed by the liquid. The quantities of L and x (for the liquid side) and G and y (for the gas side) varies continuously: as we gradually move up the column, component A is continuously being transferred from the gas phase to the liquid phase. Thus, in going up the column, there is a decrease in the total gas flowrate, and a decrease in the concentration of A in the gas phase. At the same time, in going down the column, there is an increase in the total liquid flowrate, and an increase in the concentration of A in the liquid phase. Thus
For dilute systems, the solute content is small relative to the nonsoluble inerts and nonvolatile liquid. Thus, we can assume:
G1 = G2 = G = constant
L1 = L2 = L = constant
The relationship between these variables L, x, G and y is the operating line equation. The operating line equation is obtained by material balance around the column (as shown in Envelope 1 of the Figure above).
At steadystate: IN = OUT
Thus, G y + L 1 x1 = L x + G1 y1
Using the dilute system assumptions, we simply the equation and obtain:
G y = L x + G y1 – L x1
Rearranging:
Since L and G are assumed to be approximately constant, the operating line is a straight line of the form y = mx + c, with the gradient of L / G, the liquidtogas ratio.
The operating line connects the 2 end points – point 1 (x1 , y1) that represents conditions at the bottom of the column, and point 2 (x2 , y2) that represents conditions at the top of the column.
For dilute solution, the equilibrium solubility line is also straight, as represented by Henry’s Law, y = mx, where m is the Henry’s Law constant which is also the gradient of the line.
When these 2 lines are plotted on mole fraction coordinates, we have the following Figure
Any point P (x, y) on the operating line represents gasliquid contact for which the analysis can be carried out using the 2film theory . The larger the distance between the operating line and equilibrium line, the larger the concentration difference for mass transfer, and thus, the easier the separation.
Note: Operating line for gas absorption lies above the equilibrium line.
Also, in the analysis of gas absorption, we will need to know the minimum liquid rate that can be used for a given separation, i.e. to remove a specified amount of solute from the gas. This is known as the minimum liquidtogas ratio. The analysis is applicable to both tray and packed column.
2ND EXPLANATION
Incorrect
1ST EXPLANATION
CounterCurrent Gas Absorption
Refer to the Figure below for a dilute system:
Notations : In terms of mole fraction and total flow rates
y : mole fraction of solute A in the gas phase
x : mole fraction of solute A in the liquid phase
G : total molar flowrate of the gas stream (gas flux), kgmoles/m².s
L : total molar flowrate of the liquid stream, kgmoles/m².sGy and Lx are the molar flow rates of A in the gas and liquid respectively (kgmoles A/m².s) at any point inside the column.
Inside the column, mass transfer takes place as the solute (component A) is absorbed by the liquid. The quantities of L and x (for the liquid side) and G and y (for the gas side) varies continuously: as we gradually move up the column, component A is continuously being transferred from the gas phase to the liquid phase. Thus, in going up the column, there is a decrease in the total gas flowrate, and a decrease in the concentration of A in the gas phase. At the same time, in going down the column, there is an increase in the total liquid flowrate, and an increase in the concentration of A in the liquid phase. Thus
For dilute systems, the solute content is small relative to the nonsoluble inerts and nonvolatile liquid. Thus, we can assume:
G1 = G2 = G = constant
L1 = L2 = L = constant
The relationship between these variables L, x, G and y is the operating line equation. The operating line equation is obtained by material balance around the column (as shown in Envelope 1 of the Figure above).
At steadystate: IN = OUT
Thus, G y + L 1 x1 = L x + G1 y1
Using the dilute system assumptions, we simply the equation and obtain:
G y = L x + G y1 – L x1
Rearranging:
Since L and G are assumed to be approximately constant, the operating line is a straight line of the form y = mx + c, with the gradient of L / G, the liquidtogas ratio.
The operating line connects the 2 end points – point 1 (x1 , y1) that represents conditions at the bottom of the column, and point 2 (x2 , y2) that represents conditions at the top of the column.
For dilute solution, the equilibrium solubility line is also straight, as represented by Henry’s Law, y = mx, where m is the Henry’s Law constant which is also the gradient of the line.
When these 2 lines are plotted on mole fraction coordinates, we have the following Figure
Any point P (x, y) on the operating line represents gasliquid contact for which the analysis can be carried out using the 2film theory . The larger the distance between the operating line and equilibrium line, the larger the concentration difference for mass transfer, and thus, the easier the separation.
Note: Operating line for gas absorption lies above the equilibrium line.
Also, in the analysis of gas absorption, we will need to know the minimum liquid rate that can be used for a given separation, i.e. to remove a specified amount of solute from the gas. This is known as the minimum liquidtogas ratio. The analysis is applicable to both tray and packed column.
2ND EXPLANATION

Question 13 of 60
13. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGFor a homogeneous reaction system, where
Cj is the concentration of j at time t
Nj is the number of moles of j at time t
Vis the reaction volume at time t
t is the reaction time
The rate of reaction for species j is defined asCorrect
Incorrect

Question 14 of 60
14. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGThe halflife of a first order liquid phase reaction is 30 seconds. Then the rate constant, in min¹, is
Correct
Incorrect

Question 15 of 60
15. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGFor a solidcatalyzed reaction, the Thiele modulus is proportional to
Correct
Incorrect

Question 16 of 60
16. Question
1 pointsCategory: INSTRUMENTATIONWhich ONE of the following sensors is used for the measurement of temperature in a combustion process (T > 1800 °C) ?
Correct
A radiation pyrometer is a noncontact temperature sensor that infers the temperature of an object by detecting its naturally emitted thermal radiation. An optical system collects the visible and infrared energy from an object and focuses it on a detector .The detector converts the collected energy into an electrical signal to drive a temperature display or control unit.
Radiation pyrometers are used to measure the temperature of very hot objects without being in contact with them. Molten glass and molten metals during smelting and forming operations are typical of the objects they measure.
A thermistor is an element with an electrical resistance that changes in response to temperature. This name is derived from the more descriptive term “thermally sensitive resistor”Thermistors are a type of semiconductor, meaning they have greater resistance than conducting materials, but lower resistance than insulating materials. The relationship between a thermistor’s temperature and its resistance is highly dependent upon the materials from which it’s composed.
Incorrect
A radiation pyrometer is a noncontact temperature sensor that infers the temperature of an object by detecting its naturally emitted thermal radiation. An optical system collects the visible and infrared energy from an object and focuses it on a detector .The detector converts the collected energy into an electrical signal to drive a temperature display or control unit.
Radiation pyrometers are used to measure the temperature of very hot objects without being in contact with them. Molten glass and molten metals during smelting and forming operations are typical of the objects they measure.
A thermistor is an element with an electrical resistance that changes in response to temperature. This name is derived from the more descriptive term “thermally sensitive resistor”Thermistors are a type of semiconductor, meaning they have greater resistance than conducting materials, but lower resistance than insulating materials. The relationship between a thermistor’s temperature and its resistance is highly dependent upon the materials from which it’s composed.

Question 17 of 60
17. Question
1 pointsCategory: PROCESS CONTROLThe roots of the characteristic equation of an underdamped second order system are
Correct
SECOND ORDER SYSTEM RESPONSE
OVERDAMPED SYSTEM RESPONSE:
Incorrect
SECOND ORDER SYSTEM RESPONSE
OVERDAMPED SYSTEM RESPONSE:

Question 18 of 60
18. Question
1 pointsCategory: ECONOMICSThe total fixed cost of a chemical plant is Rs. 10.0 lakhs ; the internal rate of return is 15%, and the annual operating cost is Rs. 2.0 lakhs. The annualized cost of the plant (in lakhs of Rs.) is
Correct
Incorrect

Question 19 of 60
19. Question
1 pointsCategory: CHEMICAL TECHNOLOGYIn petroleum refining operations, the process used for converting paraffins and naphthenes to aromatics is
Correct
Incorrect

Question 20 of 60
20. Question
1 pointsCategory: CHEMICAL TECHNOLOGYThe active component of catalysts used in steam reforming of methane to produce synthesis gas is
Correct
Incorrect

Question 21 of 60
21. Question
2 pointsCategory: MATHEMATICSThe general solution of the differential equation
with C1 and C2 as constants of integration, is
Correct
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2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 22 of 60
22. Question
2 pointsCategory: MATHEMATICSThe value of the limit is
Correct
Incorrect

Question 23 of 60
23. Question
2 pointsCategory: MATHEMATICSUsing the residue theorem, the value of the integral (counterclockwise )
around a circle with center at z = 0 and radius= 8 (where z is a complex number and i =√1), is
Correct
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2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 24 of 60
24. Question
2 pointsCategory: MATHEMATICSConsider the integral
over the surface of a sphere of radius= 3 with center at the origin, and surface unit normal n^ pointing away from the origin. Using the Gauss divergence theorem, the value of this integral is
Correct
Incorrect

Question 25 of 60
25. Question
2 pointsCategory: MATHEMATICSUsing the trapezoidal rule and 4 equal intervals (n = 4), the calculated value of the integral (rounded to the first place of decimal) is
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 26 of 60
26. Question
2 pointsCategory: MATHEMATICSThe eigenvalues of matrix A= are 5 and 1. Then the eigenvalues of 2 A+ 3I (I is a 2x 2 identity matrix) are
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 27 of 60
27. Question
2 pointsCategory: MATHEMATICSA fair die is rolled. Let R denote the event of obtaining a number less than or equal to 5 and S denote the event of obtaining an odd number. Then which ONE of the following about the probability (P) is TRUE?
Correct
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2ND EXPLANATION
Incorrect
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2ND EXPLANATION

Question 28 of 60
28. Question
2 pointsCategory: PROCESS CALCULATIONSPure water (stream W) is to be obtained from a feed containing 5 wt % salt using a desalination unit as shown below
If the overall recovery of pure water (through stream W) is 0. 75 kg/kg feed, then the recycle ratio (R/F) is
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 29 of 60
29. Question
2 pointsCategory: THERMODYNAMICSFor a binary mixture at constant temperature and pressure, which ONE of the following relations between activity coefficient (γi) and mole fraction (xi) is thermodynamically consistent?
Correct
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Incorrect
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2ND EXPLANATION

Question 30 of 60
30. Question
2 pointsCategory: FLUID MECHANICSTwo identical reservoirs, open at the top, are drained through pipes attached to the bottom of the tanks as shown below. The two drain pipes are of the same length, but of different diameters (D1 > D2).
Assuming the flow to be steady and laminar in both drain pipes, if the volumetric flow rate in the larger pipe is 16 times of that in the smaller pipe, the ratio D1/D2 is
Correct
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Incorrect
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2ND EXPLANATION

Question 31 of 60
31. Question
2 pointsCategory: FLUID MECHANICSFor an incompressible flow, the x and y components of the velocity vector are
Vx = 2 (x + y); Vy = 3 (y + z);
where x, y, z are in metres and velocities are in m/s. Then the zcomponent of the velocity vector (Vz) of the flow for the boundary condition Vz = 0 at z = 0 isCorrect
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 32 of 60
32. Question
2 pointsCategory: FLUID MECHANICSThe terminal settling velocity of a 6 mm diameter glass sphere (density: 2500 kg/m³) in a viscous Newtonian liquid (density: 1500 kg/m³) is 100 μm/s. If the particle Reynolds number is small and the value of acceleration due to gravity is 9.81 m/s², then the viscosity of the liquid (in Pa.s) is
Correct
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2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 33 of 60
33. Question
2 pointsCategory: HEAT TRANSFERA wellinsulted hemispherical furnace (radius = 1 m) is shown below:
The selfview factor of radiation for the curved surface 2 is
Correct
Incorrect

Question 34 of 60
34. Question
2 pointsCategory: FLUID MECHANICSA doublepipe heat exchanger is to be designed to heat 4 kg/s of a cold feed from 20 to 40°C using a hot stream available at 160°C and a flow rate of 1 kg/s. The two streams have equal specific heat capacities and the overall heat transfer coefficient of the heat exchanger is 640 W/m².K. Then the ratio of the heat transfer areas require for the cocurrent to countercurrent modes of operations is
Correct
Incorrect

Question 35 of 60
35. Question
2 pointsCategory: HEAT TRANSFERFor the composite wall shown below (case 1), the steady state interface temperature is 180°C. If the thickness of layer P is doubled (Case 2), then the rate of heat transfer (assuming 1D conduction) is reduction by
Correct
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2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 36 of 60
36. Question
2 pointsCategory: MASS TRANSFERSpecies A is diffusing at steady state from the surface of a sphere (radius = 1 cm) into a stagnant fluid. If the diffusive flux at a distance r = 3 cm from the center of the sphere is 27 mol/cm².s, the diffusive flux (in mol/cm².s) at a distance r = 9 cm is
Correct
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2ND EXPLANATION
Incorrect
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2ND EXPLANATION

Question 37 of 60
37. Question
2 pointsCategory: MASS TRANSFERThe feed to a binary distillation column has 40 mol % vapor and 60 mol % liquid. Then, the slope of the qline in the McCabeThiele plot is
Correct
Incorrect

Question 38 of 60
38. Question
1 pointsThe equilibrium moisture curve for a solid is shown below :
The total moisture content of the solid is X and it is exposed to air of relative humidity H. In the table below, Group I lists the types of moisture, and Group IIrepresents the region in the graph above
Group I Group II
P. Equilibrium moisture 1
Q. Bound moisture 2
R. Unbound moisture 3
S. Free moisture 4Which ONE of the following is the correct match ?
Correct
Incorrect

Question 39 of 60
39. Question
2 pointsCategory: THERMODYNAMICSThe liquidphase reaction A → B is conducted in an adiabatic plug flow reactor.
Data :
Inlet concentration of A = 4.0 k.mol/m³
Density of reaction moisture (independent of temperature = 1200 kg/m³
Average heat capacity of feed stream (independent of temperature) = 2000 J/kg.kHeat of reaction (independent of temperature) = –120 kJ/mol of A reacting
If the maximum allowable temperature in the reactor is 800 K, then the feed temperature (in K) should not exceed.Correct
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Incorrect
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2ND EXPLANATION

Question 40 of 60
40. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGAn isothermal pulse test is conducted on a reactor and the variation of the outlet tracer concentration with time is shown below :
The mean residence time of the fluid in the reactor (in minutes) is
Correct
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Incorrect
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Question 41 of 60
41. Question
2 pointsCategory: MATHEMATICSCorrect
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Incorrect
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2ND EXPLANATION

Question 42 of 60
42. Question
2 pointsCategory: PROCESS CONTROLThe characteristic equation of a closed loop system using a proportional controller with gain Kc is
At the onset of instability, the value of Kc is
Correct
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2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 43 of 60
43. Question
2 pointsCategory: PROCESS CONTROLThe block diagram for a control system is shown below :
For a unit step change in the set point, R(s), the steady state offset in the output Y(s) is
Correct
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Incorrect
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2ND EXPLANATION

Question 44 of 60
44. Question
2 pointsCategory: PROCESS CONTROLFor a tank of crosssectional area 100 cm² and inlet flow rate (Qi in cm³/s), the outlet flow rate (Qo in cm³/s) is related to the liquid height (H in cm) as Qo = 3 √ H (see figure below).
Then the transfer function (overbar indicates deviation variables) of the process around the steadystate point, Qi,s = 18 cm³/s and Hs = 36 cm, is
Correct
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Incorrect
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Question 45 of 60
45. Question
2 pointsCategory: ECONOMICSA column costs Rs. 5.0 lakhs and has a useful life of 10 years. Using the double declining balance depreciation method, the book value of the unit at the end of five years (in lakhs of Rs.) is
Correct
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Incorrect
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Question 46 of 60
46. Question
2 pointsCategory: CHEMICAL TECHNOLOGYAn equimolar mixture of four hydrocarbons (1, 2, 3, 4) is to be separated into high purity individual components using a sequence of simple distillation columns (one overhead and one bottom stream). Four possible schemes are shown below.
Component Ki
1 6
2 3
3 2.5
4 1.1
Using the Ki (= yi*/xi) values given above, the optimal scheme isCorrect
Incorrect

Question 47 of 60
47. Question
2 pointsCategory: CHEMICAL TECHNOLOGYMatch the equipment in Group I to the internals in Group II.
GROUP I GROUP II
P. Centrifugal pump 1. Baffle
Q. Distillation column 2. Impeller
R. Heat exchanger 3. Tray
4. VoluteCorrect
Incorrect

Question 48 of 60
48. Question
2 pointsCategory: CHEMICAL TECHNOLOGYMatch the product in Group I with the name of the process in Group II.
GROUP I GROUP II
P. Sodium carbonate 1. Haber
Q. Ammonia 2. Solvay
R. Sulphuric acid 3. FischerTropsch
4. ContactCorrect
Incorrect

Question 49 of 60
49. Question
2 pointsCategory: CHEMICAL TECHNOLOGYMatch the product in Group I to the raw material in Group II.
GROUP I GROUP II
P. Ethylene 1. Natural gas
Q. Methanol 2. Synthesis gas
R. Phthalic anhydride 3. Naphtha
4. NaphthaleneCorrect
Incorrect

Question 50 of 60
50. Question
2 pointsCategory: CHEMICAL TECHNOLOGYMatch the unit process in Group I with the industry in Group II
GROUP I GROUP II
P. Steam cracking 1. Petroleum refining
Q. Hydrocracking 2. Petrochemicals
R. Condensation 3. Polymers
4 Soaps and DetergentsCorrect
Incorrect

Question 51 of 60
51. Question
2 pointsCategory: THERMODYNAMICSCommon Data Questions
Common Data for Questions 51 and 52 :
An ideal gas with molar heat capacity Cp=(5/2)R (where R = 8.314 J/mol.K) is compressed adiabatically from 1 bar and 300 K to pressure P2 in a closed system. The final temperature after compression is 600 K and the mechanical efficiency of compression is 50%.
Q51) The work required for compression (in kJ/mol) isCorrect
Incorrect

Question 52 of 60
52. Question
2 pointsCategory: THERMODYNAMICSCommon Data Questions
Common Data for Questions 51 and 52 :
An ideal gas with molar heat capacity Cp=(5/2)R (where R = 8.314 J/mol.K) is compressed adiabatically from 1 bar and 300 K to pressure P2 in a closed system. The final temperature after compression is 600 K and the mechanical efficiency of compression is 50%.52) The final pressure P2 (in bar) is
Correct
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2ND EXPLANATION
Incorrect
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2ND EXPLANATION

Question 53 of 60
53. Question
2 pointsCategory: HEAT TRANSFERCommon Data for Questions 53 and 54 :
A slab of thickness L with one side (x = 0) insulated and the other side (x = L) maintained at a constant temperature T0 is shown below.
A uniformly distributed internal heat source produces heat in the slab at the rate of S W/m³. Assume the heat conduction to be steady and 1D along the xdirection.
Q53) The maximum temperature in the slab occurs at x equal toCorrect
Incorrect

Question 54 of 60
54. Question
2 pointsCategory: HEAT TRANSFERCommon Data for Questions 53 and 54 :
A slab of thickness L with one side (x = 0) insulated and the other side (x = L) maintained at a constant temperature T0 is shown below.
A uniformly distributed internal heat source produces heat in the slab at the rate of S W/m³. Assume the heat conduction to be steady and 1D along the xdirection.Q54) The heat flux at x = L is
Correct
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Incorrect
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Question 55 of 60
55. Question
2 pointsCategory: MASS TRANSFERCommon Data for Questions 55 and 56 :
A flash distillation drum (see figure below) is used to separate a methanolwater mixture. The mole fraction of methanol in the feed is 0.5, and the feed flow rate is 1000 kmol/hr. The feed is preheated in a heater with heat duty Qh and is subsequently flashed in the drum. The flash drum can be assumed to be an equilibrium stage, operating adiabatically. The equilibrium relation between the mole fractions of methanol in the vapor and liquid phases is y* = 4 x. The ratio of distillate to feed flow rate is 0.5.Q55) The mole fraction of methanol in the distillate is
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Question 56 of 60
56. Question
2 pointsCategory: MASS TRANSFERCommon Data for Questions 55 and 56 :
A flash distillation drum (see figure below) is used to separate a methanolwater mixture. The mole fraction of methanol in the feed is 0.5, and the feed flow rate is 1000 kmol/hr. The feed is preheated in a heater with heat duty Qh and is subsequently flashed in the drum. The flash drum can be assumed to be an equilibrium stage, operating adiabatically. The equilibrium relation between the mole fractions of methanol in the vapor and liquid phases is y* = 4 x. The ratio of distillate to feed flow rate is 0.5.Q56) If the enthalpy of the distillate with reference to the feed is 3000 kJ/kmol, and the enthalpy of the bottoms with reference to the feed is –1000 kJ/kmol, the heat duty of the preheater (Qh in kJ/hr) is
Correct
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Question 57 of 60
57. Question
2 pointsCategory: FLUID MECHANICSLinked Answer Questions :
Statement for Linked Answer Question 57 and 58 :
A free jet of water is emerging from a nozzle (diameter 75 mm) attached to a pipe (diameter 225 mm) as shown below.
The velocity of water at point A is 18 m/s. Neglect friction in the pipe and nozzle. Use g = 9.81 m/s² and density of water = 1000 kg/m³.
Q57) The velocity of water at the tip of the nozzle (in m/s) isCorrect
Incorrect

Question 58 of 60
58. Question
2 pointsCategory: FLUID MECHANICSLinked Answer Questions :
Statement for Linked Answer Question 57 and 58 :
A free jet of water is emerging from a nozzle (diameter 75 mm) attached to a pipe (diameter 225 mm) as shown below.
The velocity of water at point A is 18 m/s. Neglect friction in the pipe and nozzle. Use g = 9.81 m/s² and density of water = 1000 kg/m³.Q58) The gauge pressure (in kPa) at point B is
Correct
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Question 59 of 60
59. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGStatement for Linked Answer Questions 59 and 60 :
The liquidphase reaction A → B + C is conducted isothermally at 50°C in a continuous stirred tank reactor (CSTR). The inlet concentration of A is 8.0 gmol/liter. At a space time of 5 minutes, the concentration of A at the exit of CSTR is 4.0 gmol/liter. The kinetics of the reaction is
A plug flow reactor of the same volume is added in series after the existing CSTR.
Q59) The rate constant (k) for this reaction at 50°C isA plug flow reactor of the same volume is added in series after the existing CSTR.
Q59) The rate constant (k) for this reaction at 50°C isCorrect
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Question 60 of 60
60. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGStatement for Linked Answer Questions 59 and 60 :
The liquidphase reaction A → B + C is conducted isothermally at 50°C in a continuous stirred tank reactor (CSTR). The inlet concentration of A is 8.0 gmol/liter. At a space time of 5 minutes, the concentration of A at the exit of CSTR is 4.0 gmol/liter. The kinetics of the reaction is
A plug flow reactor of the same volume is added in series after the existing CSTR.
Q59) The rate constant (k) for this reaction at 50°C isA plug flow reactor of the same volume is added in series after the existing CSTR.
Q60) The concentration of A (in gmol/liter) at the exit of the plug flow reactor is
Correct
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Incorrect
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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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