| Post Name | Assistant Professor (Chemical Engineering) |
|---|---|
| Department | Technical Education Engineering Colleges Category No : 721/2021 |
| Question Paper Code | 026/2023/OL |
| Category Code | 721/2021 |
| Date of Test | 9 February 2023 |
| Exam Type | Online Examination |
| Total Questions | 100 |
1
For the matrix , the following is true
Answer
A. Cayley-Hamilton is satisļ¬ed
2
The system of linear equations Ax = b, where A = [[1,1,2,ā5],[2,5,ā1,ā9],[2,1,ā1,3],[1,3,2,7]] and b = [3,ā3,ā11,ā5]įµ, is
Answer
A. Consistent and has inļ¬nite number of solutions
3
Total derivative of z = tanā»Ā¹(y/x), (y,x) ā (0,0) is
Answer
B. (x dyāy dx)/(xĀ²+yĀ²)
4
The degree of homogeneity of the function f(x)=x/(x+y) is
Answer
B. 0
5
The linear Taylor Sine Polynomial approximation to the function f(x,y)=ā(x+y) about the point (1,3) is
Answer
B. x/4+y/4+1
6
The integrating factor of the differential equation cosĀ²x dy/dx + y = tan x is
Answer
A. e^(tan x)
7
Which one is not true for the differential equation x dx + y dy + (x dyāy dx)/(xĀ²+yĀ²)=0?
Answer
B. āM/āx = āN/āy
8
For the second order linear homogeneous equation, L(y) = yā³ + 2yā² + 2y = 0, which one is true ?
Answer
B. Solutions are linearly independent
9
Consider a second order non-homogeneous linear diļ¬erential equation described by, where and b are continuous functions deļ¬ned on an interval I. The general solution of the equation by using method of variation of parameter is dependent on I. Complementary function II. Particular integral III. Wronskian IV. None of the above Which one is true from the following ?
Answer
C. All are correct except IV
10
For an auxiliary equation of an Euler-Cauchy equation where are constants and b is a continuous function on an interval I, which possibility is not true ?
Answer
D. Roots must be always real
11
Fourier Sine Series of a function f(x) is deļ¬ned (i) When f(x) is odd (ii) When f(x) is even (iii) It is deļ¬ned as when (iv) f(x) is an odd periodic function of period 2L in the interval ā L < x < L Which one is false from the following ?
Answer
Question Cancelled
12
The Cauchy Integral Theorem for f(z) has the following conditions
Answer
Question Cancelled
13
Which of the following conditions is not true for the Taylor series expansion of a function f(z) about the point z = zā?
Answer
D. The series is divergent also
14
Gradient of at (1, 2) is
Answer
A. ā 6i ā 4j
15
If a force ļ¬eld F is conservative then
Answer
A. curl(F) = 0
16
A compound whose molecular weight is 106 and composition on weight basis C - 85%, Hā - 5%, Nā - 10%. Formula of this compound will be
Answer
A. CāHā
N
17
If a gas mixture contain 0.02 mol. Calculate the mixture density in gram per liter at 27Ā°C and 600 mm Hg. [Assume gas follows ideal gas law]
Answer
Question Cancelled
18
The gases entering a reactor contain A and B in mole ratio of 1 : 3. The mole ratio of these gases in the exit stream from the reactor is 1 : 4.5. What volume of gas in at NTP must enter the reactor to produce 300 kmol of product per hour ? The reaction is A + 2B C
Answer
C. /hr
19
A potassium dichromate (KāCrāOā) solution in water contains 15% by weight. 1000 kg of this solution is evaporated to remove 500 kg of water. The remaining solution is cooled to 30Ā°C. Find the crystal yield. Data: solubility of KāCrāOā is 0.340 kg mole per 1000 kg water at 30Ā°C; atomic weights K = 39, Cr = 52. Assume that crystals have no water of crystallization.
Answer
B. 76%
20
50 kg/h of methanol liquid at a temperature of 300 K (27Ā°C) is obtained by removing heat from saturated methanol vapour. Find out the amount of heat to be removed in this case. Data given : Boiling point of methanol = 337 K (64Ā°C) Latent heat of condensation of methanol = 1100 kJ/kg Speciļ¬c heat of methanol = 2.7 kJ/(kg.K)
Answer
D. 16.66 kW
21
Heat of combustion of = ā1200 kJ/mol. 92 g of is completely combusted and heat supplied to water at 298 K (25Ā°C) to convert it to steam at 373 K (100Ā°C) is 2260 kJ/kg. Find the amount of water which could be converted to steam.
Answer
A. 0.93 kg
22
Air at a temperature of 20Ā°C and a pressure of 30 Hg has a relative humidity of 70%. Calculate the molal humidity of this air if its temperature is reduced to 10Ā°C and its pressure increased to 40 Hg, condensing out some of the water. Data given : Vapour pressure of water : 17.5 mm Hg at 20Ā°C 9.2 mm Hg at 10Ā°C
Answer
B. 0.0091
23
The Orsat analysis of a flue gas is COā = 12%, Oā = 8%, Nā = 80%. Determine the percent excess air used in combustion; the nitrogen present in the flue gas is contributed by air only.
Answer
A. 60.33%
24
A vertical cylinder with a freely floating piston contains 0.1 kg air at 1.45 bar and a small electric resistor. The resistor is wired to an external 15 V battery. When a current of 2 A is passed through the resistor for 60 s, the piston sweeps a volume of 0.02 mĀ³. Find the rise in temperature of air. Assume the piston and cylinder are insulated and air behaves as an ideal gas with Cįµ„ = 700 J/(kgĀ·K).
Answer
A. 5 K
25
joules of heat are transformed from a reservoir at 402Ā°C to an engine that operates on the carnot cycle. The engine rejected heat to a reservoir at 24Ā°C. Determine the work done by engine.
Answer
Question Cancelled
26
At high temperature and pressure Nā obeys the equation of state P(V ā b) = RT. Calculate the fugacity of Nā at 727Ā°C and 500 atm, if b = 166.28 mL/mol. Data: exp(0.101325)=1.106; exp(1.01325)=2.754; exp(0.350)=1.419; exp(3.50)=33.115.
Answer
B. 1377 atm
27
At 300 K and a total pressure of 51.4 kPa, the equilibrium composition of a two-component system is xā = 0.4 and yā = 0.4. The pure-component saturation pressures are PāĖ¢ = 25.7 kPa and PāĖ¢ = 10.28 kPa. Calculate Gį“±/RT for the liquid phase. Data: ln(3)=1.098; ln(3.33)=1.202; ln(3.67)=1.3; ln(4)=1.386.
Answer
Question Cancelled
28
The enthalpy change of mixing for a binary liquid solution at 298 K and 1 bar is ĪH = xāxā(60xā + 40xā) J/mol, where xā and xā are the mole fractions. The pure-liquid enthalpies are 200 and 300 J/mol. Determine HĢāā and HĢāā at 298 K and 1 bar.
Answer
B. 240 J/mol and 360 J/mol
29
The water-gas shift reaction CO(g) + HāO(g) ā COā(g) + Hā(g) is carried out at 1100 K and 1 bar. The reactants consist of 1 mol HāO, 1.5 mol CO and 1 mol COā. Calculate the fraction of steam reacted if pressure is increased to 10 bar. Assume an ideal-gas mixture. At 1100 K, ln K = 0.
Answer
A. 0.50
30
A system is prepared by partially decomposing into an evacuated space. Determine the number of degrees of freedom for the above mentioned case.
Answer
B. 1
31
A reducing water pipe section has an inlet diameter of 50 mm and exit diameter of 30 mm. If the steady inlet speed is 2.5 m/s, then the exit speed in m/s
Answer
Question Cancelled
32
Air flows steadily at low speed through a horizontal nozzle, discharging to atmosphere. The inlet area is 0.1 mĀ² and the exit area is 0.02 mĀ². Determine the inlet gauge pressure required to produce an outlet speed of 50 m/s.
Answer
Question Cancelled
33
A simple U-tube manometer is installed across an oriļ¬ce meter. The manometer ļ¬lled with mercury (speciļ¬c gravity 13.6) and the liquid above the mercury is carbon tetrachloride (speciļ¬c gravity 1.6). The manometer reads 200 mm. What is the pressure diļ¬erence over the manometer in N/ ?
Answer
A. 23536
34
A pump is used to deliver water to an overhead tank at a ļ¬ow rate of 4 Ć /s. The pump adds 2 kW to water. If the density of water is 1000 kg/ and acceleration due to gravity is 10 m/ , the pump head added to the ļ¬ow is
Answer
D. 50 m
35
Match the following : Column A Column B (P) Turbulence (I) Reciprocating pump (Q) NPSH (II) Packed bed (R) Ergun equation (III) Fluctuating velocity (S) Rotameter (IV) Impeller (T) Power number (V) Vena contracta
Answer
A. P-III, R-II, T-IV
36
With increasing ļ¬ow rate, the hydraulic eļ¬ciency of a centrifugal pump
Answer
D. Increases and then decreases
37
A steady, incompressible, two-domensional velocity ļ¬eld is given by the following components in x-y ā plane : u = 0.205 + 0.97x + 0.851 y v = -0.509 + 0.953x ā 0.97 y Calculate the x-component of acceleration at the point (x, y) = (2, 1.5)
Answer
C. 3.27
38
The wall of a cold storage consists of three layers: ordinary brick 25 cm thick, cork 10 cm thick and cement 6 cm thick. Their thermal conductivities are 0.7, 0.043 and 0.72 W/(mĀ·Ā°C), respectively. The outer and inner surface temperatures are 30Ā°C and ā15Ā°C. The steady-state heat gain per unit area, in W/mĀ², is
Answer
B. 16.27
39
A Horton sphere (a spherical vessel used for cryogenic storage) of 16 m diameter that contains liquid ammonia at 4Ā°C. The tank is insulated with a 10 cm thick layer of polyurethane foam having a thermal conductivity of 0.02 W/mĀ°C. The outer surface temperature of the insulation is 27Ā°C. Find the heat gain by the sphere.
Answer
D. 3746 W
40
A metallic ball (Ļ = 2700 kg/mĀ³ and Cā = 0.9 kJ/(kgĀ·Ā°C)) of diameter 7.5 cm cools in air at 25Ā°C. At a ball temperature of 125Ā°C it cools at 4Ā°C/min. Neglecting internal thermal gradients, the heat-transfer coefficient in W/(mĀ²Ā·Ā°C) is
Answer
B. 20.22
41
Select the corresponding ļ¬nite-diļ¬erence equation for the node (m, n) as shown in the below ļ¬gure.
Answer
A. + + ā =0
42
During flow of air at Tā = 20Ā°C over a plate maintained at Tā = 160Ā°C, the dimensionless temperature profile is (T(y) ā Tā)/(Tā ā Tā) = e^(ā3200y). If k = 0.0302 W/(mĀ·K), the convection heat-transfer coefficient in W/(mĀ²Ā·K) is
Answer
B. 96.8
43
Water flows through a 20 mm diameter tube at 0.01 kg/s and enters at 10Ā°C. A heater supplies a uniform heat flux of 15 kW/mĀ². If exit temperature is 40Ā°C, estimate the heat-transfer coefficient in W/(mĀ²Ā·K). The thermal conductivity of water is 0.608 W/(mĀ·K).
Answer
Question Cancelled
44
The spectral distribution of surface irradiation is given below, then what is the total irradiation (in W/ )?
Answer
B. 20000
45
In ļ¬lm type condensation over a vertical tube, the local heat transfer coeļ¬cient is
Answer
A. Inversely proportional to the local ļ¬lm thickness
46
The equilibrium distribution of a solute (A) between air and water is y = 1.2 x. The concentration of A in the bulk air is 0.04 mole fraction and that in the bulk aqueous phase is 0.025. What is the overall driving force on gas-phase basis ?
Answer
B. 0.01
47
Enthalpy of moist air having a dry-bulb temperature of 27Ā°C and a humidity of 0.015 kg water vapour/kg of dry air in kJ/kg is
Answer
C. 65.5
48
For an absorption column, Gā = 90 kmol/h, Lā = 100 kmol/h, yāāā = 0.12, xā = 0.078 and xāāā = 0.06. The equilibrium relation is y = 1.01x. If liquid on the tray is well mixed, what is the Murphree tray efficiency?
Answer
Question Cancelled
49
For the determination of number of theoretical stages required for the given separation using McCabe and Thiele method. What is slope of q-line, if the feed is saturated liquid ?
Answer
D. ā
50
One thousand kilograms of an aqueous solution containing 50 mass % acetone is to be extracted using 800 kg of chlorobenzene containing 0.5 mass % acetone as the solvent in a single-stage extraction unit. The graphical solution for the extraction unit is given below, what is the fraction of solute removed (in %) ?
Answer
A. 71.7
51
100 kg of dry solid is dried for 2500 s at a constant drying rate N_c = 1.0 Ć 10ā»Ā³ kg/(mĀ²Ā·s). Initial moisture content is 0.4 kg/kg dry solid and drying area is 0.04 mĀ²/kg dry solid. The final moisture content is
Answer
D. 0.30
52
Adsorption on zeolite is to be used for reducing a pollutant concentration in wastewater from 0.04 mol/litre to 0.008 mol/litre. The adsorption isotherm at the operating temperature can be expressed as q = ; where q is the pollutant concentration in solid (mol/ g solid) and C is the concentration in water (mol/litre). The minimum amount of solid (in grams) required per litre of waste water is
Answer
C. 6.4
53
What kind of diļ¬usional phenomena occurs within seeds during oil extraction ?
Answer
B. Non-equimolar counter-diļ¬usion of B and C
54
What is mesh size (M) from the ļ¬gure given below ?
Answer
D. M = 1/(a + w)
55
A sample of 200 g of an industrial powder is screened through a series of sieves and the results of the run are presented in below table. Determine the median size (Ī¼ m) of the powder.
Answer
A. 625
56
A crusher reduces limestone from 2 cm to 0.5 cm median equivalent diameter at a capacity of 1.2 Ć 10ā“ kg/h while consuming 7.46 kW. If product size is reduced to 0.4 cm and capacity to 1.0 Ć 10ā“ kg/h, determine theoretical power consumption. Data: ln 4 = 1.39; ln 5 = 1.61.
Answer
B. 7.21
57
Match the following correctly. i. Compressive A. Disc mill ii. Impact B. Crushing rolls iii. Attrition C. Rotary knife iv. Cut D. Hammer mill
Answer
C. i-B, ii-D, iii-A, iv-C
58
The volumetric flow rate during constant-pressure filtration is dV/dt = 1/(K_cV + 1/qā), where V is the total filtrate volume collected in time t and K_c and qā are constants. If V = 1 litre at t = 41.3 s and V = 2.0 litre at t = 108.3 s, then K_c is
Answer
C. 25.7
59
Match the equipment in Column A with the corresponding process in Column B : Column A Column B P. Centrifugal sifter I. Mixing Q. Bowl mill II. Sedimentation R. Gravity thickener III. Screening S. Two-arm kneader IV. Grinding
Answer
B. P-III, Q-IV, R-II, S-I
60
Critical speed of a ball mill depends on
Answer
D. The radius of the balls and the radius of the mill
61
The E-curve for a non-ideal reactor deļ¬nes the fraction of ļ¬uid having age between t and t+dt
Answer
B. At the outlet
62
A first order gaseous phase reaction is catalysed by a non-porous solid. The kinetic rate constant and the external mass transfer coefficients are k and k_g respectively. The effective rate constant (k_eff) is given by
Answer
D. 1/k_eff=1/k+1/k_g
63
The reaction 2A + B ā 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. Steady state molar flux of A, B and C related by
Answer
C. N_A=2N_B=āN_C
64
For a solid-catalyzed reaction, the Thiele modulus is proportional to
Answer
A. ā(intrinsic reaction rate/diffusion rate)
65
Which of the following can change if only the catalyst is changed for a reaction system ?
Answer
B. Activation energy
66
In the manufacture of sulphuric acid by the contact process, the catalytic oxidation of is carried out in multiple stages mainly to
Answer
C. Increase the overall conversion by providing inter-stage cooling
67
For which reaction order, the half-life of the reactant is half of the full lifetime (time for 100% conversion) of the reactant ?
Answer
A. Zero order
68
For a solid catalyzed gas-phase reversible reaction, which of the following statements is always true ?
Answer
C. Solid catalyst doesn't aļ¬ect equilibrium conversion
69
The elementary reversible exothermic gas-phase reaction A + 3B ā 2C is to be conducted in a non-isothermal, non-adiabatic plug flow reactor. The maximum allowable reactor temperature is T_max. To minimize the total reactor volume, the variation of reactor temperature (T) with axial distance from the inlet (z) should be
Answer
C. Official graph: T starts at T_max and decreases with z
70
Cascade control comes under the control conļ¬guration which uses
Answer
B. More than one measurement and one manipulate variable
71
An example of an open-loop second order under damped system is
Answer
B. U-Tube manometer
72
The control valve characteristics is selected such that the product of process gain and the valve gain
Answer
D. None of these
73
A unit IMPULSE response of a first order system with time constant Ļ and steady-state gain Kā is given by
Answer
D. (Kā/Ļ)e^(āt/Ļ)
74
The bias values for the two controllers, so that no oļ¬set occurs in either controller are
Answer
Question Cancelled
75
What is the order of response exhibited by a U-Tube Manometer ?
Answer
C. Second order
76
The variables required to be known in the correlation used for estimating the horse power of centrifugal gas compressor and hence it is
Answer
Question Cancelled
77
A cylindrical storage tank can have a self supported conical roof
Answer
D. None of the above
78
The term knuckle radius is associated with
Answer
B. Torispherical heads
79
Terms used in engineering economics have standard deļ¬nitions and interpretations. Which one of the following statement is INCORRECT ?
Answer
D. Playback period is calculated based on the playback time for the sum of the ļ¬xed and the working capital investment
80
Given the following statements listed from (P) to (T), select the correct combination of true statements from the choices that follow this list. (P) Plate columns are preferred when the operation involves liquid containing suspended solids. (Q) Packed towers are preferred if the liquids have a large foaming tendency. (R) The pressure drop through packed towers is more than the pressure drop through plate columns designed for the same duty. (S) Packed columns are preferred when large temperature changes are involved in distillation operations. (T) Packed towers are cheaper than plate towers if highly corrosive ļ¬uids are handled.
Answer
B. P, Q, T
81
Temporary hardness in water is caused by the presence of
Answer
A. Bicarbonate of Ca and Mg
82
The amount of standard soap solution required to obtain a permanent leather with a water sample of known volume with constant shaking determines the total hardness in
Answer
A. Dr. Clark's process
83
The ratio of BOD to ultimate BOD is about
Answer
B. 2/3
84
The most suitable solid waste disposal for rural area is
Answer
C. Composting
85
The indoor method of composting takes ___________ months to complete the process.
Answer
D. 4
86
Which of the following gases is responsible for acid rain?
Answer
Question Cancelled
87
The device used for easy separation of dry dust of 10 to 100 Ī¼m size is
Answer
A. Cyclone
88
Pollutant Standard Index (PSI) value in between 101-199 denotes the air quality as
Answer
C. Unhealthy
89
Plumbosolvency is a health hazard in the transportation of
Answer
B. Soft water only
90
Potable water treatment does not involve
Answer
D. Softening
91
Chemical composition of producer gas
Answer
D. CO = 30, COā = 5, Hā = 14, Nā = 51
92
Match the common name of the chemicals in Group - 1 with their chemical formula in Group -2 Group - 1 Group -2 P. Soda ash I. Q. Baking soda II. R. Caustic soda III. NaOH S. Washing soda IV.
Answer
A. P-IV, Q-I, R-III, S-II
93
Match the chemicals in Group - 1 with their industrial production process in Group - 2 Group - 1 Group - 2 P. Sulphuric acid I. Solvay process Q. Nitric acid II. Wet process R. Phosphoric acid III. Contact process S. Soda ash IV. Ostwald process
Answer
C. P-III, Q-IV, R-II, S-I
94
Octane number following the order
Answer
C. Oleļ¬ns < Isoparaļ¬ns < Naphthenes < Aromatics
95
The setting and hardening of cement paste is due to hydration and hydrolysis of
Answer
D. All the above
96
The role of phosphorus present in the fertilizers is
Answer
B. Stimulates growth and accelerates fruit and seed formation
97
Hydrogen is obtained from methane by a process called
Answer
D. Steam reforming
98
Match the catalyst used in the production of following chemicals Group - 1 Group - 2 P. Sulphuric acid I. Pt/Rh Q. Nitric acid II. Ni R. Ammonia III. S. Hydrogenation of oil IV. Fe
Answer
A. P-III, Q-I, R-IV, S-II
99
Diesel Index is the
Answer
B. Aniline point (Ā°F) Ć
100
Polyester is produced by
Answer
A. Reaction between ethylene glycol and terephthalic acid
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