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Chemical Engineering Gate 2016
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 CHEMICAL TECHNOLOGY 0%
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 FLUID MECHANICS 0%
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 INSTRUMENTATION 0%
 MASS TRANSFER 0%
 MATHEMATICS 0%
 MECHANICAL OPERATIONS 0%
 PLANT DESIGN 0%
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Question 1 of 65
1. Question
1 pointsCategory: APTITUDEThe volume of a sphere of diameter 1 unit is than the volume of a cube of side 1 unit.
Correct
1ST EXPLANATION
Volume of a sphere of diameter 1 unit is 4/3.π.(1/2)² = π/6 and volume of a cube of side 1 unit is 1³=1
2ND EXPLANATION
Incorrect
1ST EXPLANATION
Volume of a sphere of diameter 1 unit is 4/3.π.(1/2)² = π/6 and volume of a cube of side 1 unit is 1³=1
2ND EXPLANATION

Question 2 of 65
2. Question
1 pointsCategory: APTITUDEThe unruly crowd demanded that the accused be without trial.
Correct
Incorrect

Question 3 of 65
3. Question
1 pointsCategory: APTITUDEChoose the statement(s) where the underlined word is used correctly:
(i) A prone is a dried plum.
(ii) He was lying prone on the floor.
(iii) People who eat a lot of fat are prone to heart disease.Correct
Incorrect

Question 4 of 65
4. Question
1 pointsCategory: APTITUDEFact: If it rains, then the field is wet.
Read the following statements:
(i) It rains
(ii) The field is not wet
(iii) The field is wet
(iv) It did not rain
Which one of the options given below is NOT logically possible, based on the given fact?Correct
Incorrect

Question 5 of 65
5. Question
1 pointsCategory: APTITUDEA window is made up of a square portion and an equilateral triangle portion above it. The base of the triangular portion coincides with the upper side of the square. If the perimeter of the window is 6 m, the area of the window in m² is
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 6 of 65
6. Question
1 pointsCategory: APTITUDEStudents taking an exam are divided into two groups, P and Q such that each group has the same number of students. The performance of each of the students in a test was evaluated out of 200 marks. It was observed that the mean of group P was 105, while that of group Q was 85. The standard deviation of group P was 25, while that of group Q was 5. Assuming that the marks were distributed on a normal distribution, which of the following statements will have the highest probability of being TRUE?
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 7 of 65
7. Question
1 pointsCategory: APTITUDEA smart city integrates all modes of transport, uses clean energy and promotes sustainable use of resources. It also uses technology to ensure safety and security of the city, something which critics argue, will lead to a surveillance state.Which of the following can be logically inferred from the above paragraph?
(i) All smart cities encourage the formation of surveillance states.
(ii) Surveillance is an integral part of a smart city.
(iii) Sustainability and surveillance go hand in hand in a smart city.
(iv) There is a perception that smart cities promote surveillance.Correct
Incorrect

Question 8 of 65
8. Question
2 pointsCategory: APTITUDEFind the missing sequence in the letter series.
B, FH, LNP, _ _ _ _.Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 9 of 65
9. Question
2 pointsCategory: APTITUDEThe binary operation ◊ is defined as a ◊ b = ab+(a+b), where a and b are any two real numbers.The value of the identity element of this operation, defined as the number x such that a ◊ x = a, for any a, is______.
Correct
1ST EXPLANATION
a◊x = a⇒ax +(a +x)= a
⇒x (1+a) = 0⇒x = 0 is the identity element2ND EXPLANATION
Incorrect
1ST EXPLANATION
a◊x = a⇒ax +(a +x)= a
⇒x (1+a) = 0⇒x = 0 is the identity element2ND EXPLANATION

Question 10 of 65
10. Question
1 pointsCategory: APTITUDEWhich of the following curves represents the function?
Here, x represents the abscissa and y represents the ordinate.
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 11 of 65
11. Question
1 pointsCategory: MATHEMATICSWhich one of the following is an iterative technique for solving a system of simultaneous linear
algebraic equations?Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 12 of 65
12. Question
1 pointsCategory: MATHEMATICSThe Laplace transform of is
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 13 of 65
13. Question
1 pointsCategory: MATHEMATICSWhat are the modulus (r) and argument (θ) of the complex number 3 + 4i ?
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 14 of 65
14. Question
1 pointsCategory: PROCESS CALCULATIONSA liquid mixture of ethanol and water is flowing as inlet stream P into a stream splitter. It is split into two streams, Q and R, as shown in the figure below.
The flow rate of P, containing 30 mass% of ethanol, is 100 kg/h. What is the least number of additional specification(s) required to determine the mass flow rates and compositions (mass %) of the two exit streams?
Correct
1ST EXPLANATION
Independent material balance equations
Given,MEtoH,P = 0.3
P =100 kg h
∴ Q+R =100Now, to solve equations (1) & (2) so as to determine all flow rates and mass compositions, both
EtoH,Q EtoH,R have to be specified.
∴ Least no. of additional specifications required = 22ND EXPLANATION
Incorrect
1ST EXPLANATION
Independent material balance equations
Given,MEtoH,P = 0.3
P =100 kg h
∴ Q+R =100Now, to solve equations (1) & (2) so as to determine all flow rates and mass compositions, both
EtoH,Q EtoH,R have to be specified.
∴ Least no. of additional specifications required = 22ND EXPLANATION

Question 15 of 65
15. Question
1 pointsCategory: THERMODYNAMICSThe partial molar enthalpy (in kJ/mol) of species 1 in a binary mixture is given by where x1 and x2 are the mole fractions of species 1 and 2,respectively.The partial molar enthalpy (in kJ/mol, rounded off to the first decimal place) of species 1 at infinite dilution is ________
Correct
1ST EXPLANATION
Partial molar enthalpy of species 1 at infinite dilution may be obtained from eqn. (1) by putting x1 = 0 and x2 =1
h1 at infinite dilution =260=58 KJ/mol
2ND EXPLANATION
Incorrect
1ST EXPLANATION
Partial molar enthalpy of species 1 at infinite dilution may be obtained from eqn. (1) by putting x1 = 0 and x2 =1
h1 at infinite dilution =260=58 KJ/mol
2ND EXPLANATION

Question 16 of 65
16. Question
1 pointsCategory: FLUID MECHANICSFor a flow through a smooth pipe, the Fanning friction factor (f) is given by in the turbulent flow regime, where Re is the Reynolds number and m is a constant. Water flowing through a section of this pipe with a velocity 1 m/s results in a frictional pressure drop of 10 kPa. What will be the pressure drop across this section (in kPa), when the velocity of water is 2 m/s?
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 17 of 65
17. Question
1 pointsCategory: MECHANICAL OPERATIONSIn a cyclone separator used for separation of solid particles from a dust laden gas, the separation factor is defined as the ratio of the centrifugal force to the gravitational force acting on the particle. Sr denotes the separation factor at a location (near the wall) that is at a radial distance r from the centre of the cyclone. Which one of the following statements is INCORRECT?
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 18 of 65
18. Question
1 pointsCategory: FLUID MECHANICSA vertical cylindrical vessel has a layer of kerosene (of density 800 kg/m³) over a layer of water (of density 1000 kg/m3). Lshaped glass tubes are connected to the column 30 cm apart. The interface between the two layers lies between the two points at which the Ltubes are connected.The levels (in cm) to which the liquids rise in the respective tubes are shown in the figure below.
The distance (x in cm, rounded off to the first decimal place) of the interface from the point at which the lower Ltube is connected is _________
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 19 of 65
19. Question
1 pointsCategory: HEAT TRANSFERA composite wall is made of four different materials of construction in the fashion shown below.The resistance (in K/W) of each of the sections of the wall is indicated in the diagram.
The overall resistance (in K/W, rounded off to the first decimal place) of the composite wall, in the direction of heat flow, is________
Correct
1ST EXPLANATION
⇒ R23 = 0.3
Rtotal = 3+0.2+0.7 = 3.9 KW
2ND EXPLANATION
Incorrect
1ST EXPLANATION
⇒ R23 = 0.3
Rtotal = 3+0.2+0.7 = 3.9 KW
2ND EXPLANATION

Question 20 of 65
20. Question
1 pointsCategory: HEAT TRANSFERSteam at 100ºC is condensing on a vertical steel plate. The condensate flow is laminar. The average Nusselt numbers are Nu1 and Nu2, when the plate temperatures are 10ºC and 55ºC, respectively. Assume the physical properties of the fluid and steel to remain constant within the temperature range of interest. Using Nusselt equations for filmtype condensation, what is the value of the ratio Nu2/Nu1 ?
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 21 of 65
21. Question
1 pointsCategory: MASS TRANSFERA binary liquid mixture of benzene and toluene contains 20 mol % of benzene. At 350 K the vapor pressures of pure benzene and pure toluene are 92 kPa and 35 kPa, respectively. The mixture follows Raoult”s law. The equilibrium vapor phase mole fraction (rounded off to the second decimal place) of benzene in contact with this liquid mixture at 350 K is ________.
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 22 of 65
22. Question
1 pointsCategory: MASS TRANSFERMatch the dimensionless numbers in Group1 with the ratios in Group2.
Correct
Incorrect

Question 23 of 65
23. Question
1 pointsCategory: MASS TRANSFERFor what value of Lewis number, the wetbulb temperature and adiabatic saturation temperature are nearly equal?
Correct
1ST EXPLANATION
When lewis number is unity, the wetbulb temperature and adiabatic saturation temperature are equal.
2ND EXPLANATION
Incorrect
1ST EXPLANATION
When lewis number is unity, the wetbulb temperature and adiabatic saturation temperature are equal.
2ND EXPLANATION

Question 24 of 65
24. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGCorrect
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 25 of 65
25. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGThe variations of the concentrations (CA, CR and CS) for three species (A, R and S) with time, in an isothermal homogeneous batch reactor are shown in the figure below.
Select the reaction scheme that correctly represents the above plot. The numbers in the reaction schemes shown below, represent the first order rate constants in unit of s¹.
Correct
1ST EXPLANATION
In the concentrationtime plot, we find that CR vs t and C3 vs t plots are identical. Thus, reaction rate constants of A→R and A→S should be identical. Also, the concentration of A (CA) decreases monotonically. Thus, the reactions should be irreversible.
2ND EXPLANATION
Incorrect
1ST EXPLANATION
In the concentrationtime plot, we find that CR vs t and C3 vs t plots are identical. Thus, reaction rate constants of A→R and A→S should be identical. Also, the concentration of A (CA) decreases monotonically. Thus, the reactions should be irreversible.
2ND EXPLANATION

Question 26 of 65
26. Question
2 pointsCategory: THERMODYNAMICSHydrogen iodide decomposes through the reaction 2HI ⇋ H2 + I2. The value of the universal gas constant R is 8.314 J mol‒¹K‒¹. The activation energy for the forward reaction is 184000 J mol‒¹. The ratio (rounded off to the first decimal place) of the forward reaction rate at 600 K to that at 550 K is ___________
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 27 of 65
27. Question
2 pointsCategory: INSTRUMENTATIONMatch the instruments in Group1 with process variables in Group2.
Group1 Group2
P Conductivity meter I Flow
Q Turbine meter II Pressure
R Piezoresistivity element III CompositionCorrect
Incorrect

Question 28 of 65
28. Question
1 pointsCategory: PROCESS CONTROLWhat is the order of response exhibited by a Utube manometer?
Correct
Incorrect

Question 29 of 65
29. Question
1 pointsCategory: PROCESS CONTROLA system exhibits inverse response for a unit step change in the input. Which one of the following statement must necessarily be satisfied?
Correct
Incorrect

Question 30 of 65
30. Question
1 pointsCategory: ECONOMICSTwo design options for a distillation system are being compared based on the total annual cost. Information available is as follows :
The annual fixed charge amounts to 12% of the installed cost. Based on the above information, what is the total annual cost (Rs in lakhs /year) of the better option?
Correct
1ST EXPLANATION
Option P: Annual fixed charge = 12% of Rs 150 lakh
= 0.12 × 150
= Rs 18 lakh
Then, total annual cost (in lakhs/year)
⇒ 18 + 6 +16 = 40
Option Q: Annual fixed charge = 12% of Rs 120 lakhs2ND EXPLANATION
Incorrect
1ST EXPLANATION
Option P: Annual fixed charge = 12% of Rs 150 lakh
= 0.12 × 150
= Rs 18 lakh
Then, total annual cost (in lakhs/year)
⇒ 18 + 6 +16 = 40
Option Q: Annual fixed charge = 12% of Rs 120 lakhs2ND EXPLANATION

Question 31 of 65
31. Question
1 pointsCategory: PLANT DESIGNStandard pipes of different schedule numbers and standard tubes of different BWG numbers are available in the market. For a pipe / tube of a given nominal diameter, which one of the following statements is TRUE?
Correct
Incorrect

Question 32 of 65
32. Question
1 pointsTerms used in engineering economics have standard definitions and interpretations. Which one of the following statements is INCORRECT?
Correct
1ST EXPLANATION
Payback period is calculated based on the payback time to cover up the fixed capital investment only. So, statement (D) is false.
2ND EXPLANATION
Incorrect
1ST EXPLANATION
Payback period is calculated based on the payback time to cover up the fixed capital investment only. So, statement (D) is false.
2ND EXPLANATION

Question 33 of 65
33. Question
1 pointsCategory: CHEMICAL TECHNOLOGYIndia has no elemental sulphur deposits that can be economically exploited. In India, which one of the following industries produces elemental sulphur as a byproduct?
Correct
In petroleum refineries, elemental sulphur is recovered from H2S and other gaseous streams in the Sulphur Recovery Unit (SRU).
Incorrect
In petroleum refineries, elemental sulphur is recovered from H2S and other gaseous streams in the Sulphur Recovery Unit (SRU).

Question 34 of 65
34. Question
1 pointsCategory: CHEMICAL TECHNOLOGYTwo paper pulp plants P and Q use the same quality of bamboo as a raw material. The chemicals used in their digester are as follows:
Which one of the following statements is CORRECT?
Correct
In Kraft process for manufacturing of paper, NaOH and 2 Na S are used in the digester
∴ Plant P uses Kraft process.Incorrect
In Kraft process for manufacturing of paper, NaOH and 2 Na S are used in the digester
∴ Plant P uses Kraft process. 
Question 35 of 65
35. Question
1 pointsCategory: CHEMICAL TECHNOLOGYMatch the industrial processes in Group1, with the catalyst materials in Group2.
Group1 Group2
P Ethylene polymerisation I Nickel
Q Petroleum feedstock cracking II Vanadium pentoxide
R Oxidation of SO2 to SO3 III Zeolite
S Hydrogenation of oil IV Aluminium triethyl with titanium chloride promoterCorrect
In ethylene polymerization, aluminium tri ethyl with TiCl3 promoter is used.
Cracking of petroleum feedstock requires zeolite as a catalyst material.
In the DCDA process for sulphuric acid manufacture, there is an oxidation step of SO2 to SO3,
where V2O5 (Vanadium pentoxide) is the catalyst.
Hydrogenation of oil uses Nickel as catalyst
∴ P →IV, Q→III, R →II, S→IIncorrect
In ethylene polymerization, aluminium tri ethyl with TiCl3 promoter is used.
Cracking of petroleum feedstock requires zeolite as a catalyst material.
In the DCDA process for sulphuric acid manufacture, there is an oxidation step of SO2 to SO3,
where V2O5 (Vanadium pentoxide) is the catalyst.
Hydrogenation of oil uses Nickel as catalyst
∴ P →IV, Q→III, R →II, S→I 
Question 36 of 65
36. Question
2 pointsCategory: MATHEMATICSA set of simultaneous linear algebraic equations is represented in a matrix form as shown below. The value (rounded off to the nearest integer) of x3 is
The value (rounded off to the nearest integer) of x3 is _________.
Correct
1ST EXPLANATION
By solving above equations (Backward substitutions)
x5 = 2,x4= 5,x3 =15, x2 = 10, x1= 32ND EXPLANATION
Incorrect
1ST EXPLANATION
By solving above equations (Backward substitutions)
x5 = 2,x4= 5,x3 =15, x2 = 10, x1= 32ND EXPLANATION

Question 37 of 65
37. Question
2 pointsCategory: MATHEMATICSCorrect
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 38 of 65
38. Question
2 pointsThe model y = mx² is to be fit to the data given below.
Using linear regression, the value (rounded off to the second decimal place) of m is _______
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 39 of 65
39. Question
2 pointsCategory: MATHEMATICSThe Lagrange meanvalue theorem is satisfied for f( x) = x³ + 5, in the interval (1, 4) at a value (rounded off to the second decimal place) of x equal to __________.
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 40 of 65
40. Question
1 pointsCategory: MATHEMATICSValues of f (x) in the interval [0, 4] are given below.
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 41 of 65
41. Question
2 pointsCategory: PROCESS CALCULATIONSCorrect
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 42 of 65
42. Question
2 pointsCategory: THERMODYNAMICSAn ideal gas is adiabatically and irreversibly compressed from 3 bar and 300 K to 6 bar in a closed system. The work required for the irreversible compression is 1.5 times the work that is required for reversible compression from the same initial temperature and pressure to the same final pressure. The molar heat capacity of the gas at constant volume is 30 J mol‒1 K‒1 (assumed to be independent of temperature); universal gas constant, R is 8.314 J mol‒1K‒1; ratio of molar heat capacities is 1.277. The temperature (in K, rounded off to the first decimal place) of the gas at the final state in the irreversible compression case is __________.
Correct
Incorrect

Question 43 of 65
43. Question
2 pointsCategory: THERMODYNAMICSCorrect
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 44 of 65
44. Question
2 pointsCategory: THERMODYNAMICSCorrect
1ST EXPLANATION
Answer: (1.631.67)
2ND EXPLANATION
Incorrect
1ST EXPLANATION
Answer: (1.631.67)
2ND EXPLANATION

Question 45 of 65
45. Question
2 pointsCategory: FLUID MECHANICSWater (density=1000 kg m‒³) is pumped at a rate of 36 m³/h, from a tank 2 m below the pump, to an overhead pressurized vessel 10 m above the pump. The pressure values at the point of suction from the bottom tank and at the discharge point to the overhead vessel are 120 kPa and 240 kPa, respectively. All pipes in the system have the same diameter. Take acceleration due to gravity, g = 10 ms‒². Neglecting frictional losses, what is the power (in kW) required to deliver the fluid?
Correct
1ST EXPLANATION
Given
Q= 36m³/ h = 0.01 m³/sec
P1= 120kpa
P2= 240 kPa
g=10, ρwater=1000 kg/m³
Frictional losses = 0, Z1= 0 ,
Height if suction point (1)
Z2 =12
Bernoulli”s equation is given as2ND EXPLANATION
Incorrect
1ST EXPLANATION
Given
Q= 36m³/ h = 0.01 m³/sec
P1= 120kpa
P2= 240 kPa
g=10, ρwater=1000 kg/m³
Frictional losses = 0, Z1= 0 ,
Height if suction point (1)
Z2 =12
Bernoulli”s equation is given as2ND EXPLANATION

Question 46 of 65
46. Question
2 pointsCategory: MECHANICAL OPERATIONSCorrect
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 47 of 65
47. Question
2 pointsCategory: MECHANICAL OPERATIONSConsider a rigid solid sphere falling with a constant velocity in a fluid. The following data are known at the conditions of interest: viscosity of the fluid = 0.1 Pa s, acceleration due to gravity =10 m s‒2, density of the particle = 1180 kg m‒3 and density of the fluid = 1000 kg m‒3. The diameter (in mm, rounded off to the second decimal place) of the largest sphere that settles in the Stokes‟ law regime (Reynolds number = 0.1), is_________
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 48 of 65
48. Question
2 pointsCategory: FLUID MECHANICSCorrect
1ST EXPLANATION
Answer: (48.549.5)
2ND EXPLANATION
Incorrect
1ST EXPLANATION
Answer: (48.549.5)
2ND EXPLANATION

Question 49 of 65
49. Question
2 pointsCategory: FLUID MECHANICSCorrect
1ST EXPLANATION
It is given as turbulent flow – viscous sublayer and also given that velocity is directly proportional to distance
2ND EXPLANATION
Incorrect
1ST EXPLANATION
It is given as turbulent flow – viscous sublayer and also given that velocity is directly proportional to distance
2ND EXPLANATION

Question 50 of 65
50. Question
2 pointsIn a 11 pass shell and tube exchanger, steam in condensing in the shell side at a temperature (Ts) of 135ºC and the cold fluid is heated from a temperature (T1) of 20ºC to a temperature (T2) of 90ºC. The energy balance equation for this heat exchanger is
Where U is the overall heat transfer coefficient, A is the heat transfer area, m² is the mass flow rate of the cold fluid and cp is the its specific heat. Tube side fluid is in a turbulent flow and the heat transfer coefficient can be estimated from the following equation:
where Nu is the Nusselt number, Re is the Reynolds number and Pr is the Prandtl number. The condensing heat transfer coefficient in the shell side is significantly higher than the tube side heat transfer coefficient. The resistance of the wall to heat transfer is negligible. If only the mass flow rate of the cold fluid is doubled, what is the outlet temperature (in oC) of the cold fluid at steady state?
Correct
1ST EXPLANATION
Incorrect
1ST EXPLANATION

Question 51 of 65
51. Question
2 pointsCategory: HEAT TRANSFERIn an experimental setup, mineral oil is filled in between the narrow gap of two horizontal smooth plates. The setup has arrangements to maintain the plates at desired uniform temperatures. At these temperatures, ONLY the radiative heat flux is negligible. The thermal conductivity of the oil does not vary perceptibly in this temperature range. Consider four experiments at steady state under different experimental conditions, as shown in the figure below. The figure shows plate temperatures and the heat fluxes in the vertical direction.
What is the steady state heat flux (in W m‒2) with the top plate at 70ºC and the bottom plate at 40ºC?
Correct
Incorrect

Question 52 of 65
52. Question
2 pointsCategory: HEAT TRANSFERThe space between two hollow concentric spheres of radii 0.1 m and 0.2 m is under vacuum.Exchange of radiation (uniform in all directions) occurs only between the outer surface (S1) of the smaller sphere and the inner surface (S2) of the larger sphere. The fraction (rounded off to the second decimal place) of the radiation energy leaving S2, which reaches S1 is ___________.
Correct
1ST EXPLANATION
Answer: (0.2450.255)
2ND EXPLANATION
Incorrect
1ST EXPLANATION
Answer: (0.2450.255)
2ND EXPLANATION

Question 53 of 65
53. Question
2 pointsCategory: MASS TRANSFERA binary distillation column is to be designed using McCabe Thiele method. The distillate contains 90 mol% of the more volatile component. The point of intersection of the qline with the equilibrium curve is (0.5, 0.7). The minimum reflux ratio (rounded off to the first decimal place) for this operation is __________.
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 54 of 65
54. Question
2 pointsCategory: MASS TRANSFERSolute C is extracted in a batch process from its homogenous solution of A and C, using solvent B. The combined composition of the feed and the extracting solvent is shown in the figure below as point M, along with the tie line passing through it. The ends of the tie line are on the equilibrium curve.
What is the selectivity for C?
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 55 of 65
55. Question
2 pointsCategory: MASS TRANSFERAt 30ºC, the amounts of acetone adsorbed at partial pressures of 10 and 100 mmHg are 0.1 and 0.4 kg acetone/kg activated carbon, respectively. Assume Langmuir isotherm describes the adsorption of acetone on activated carbon. What is the amount of acetone adsorbed (in kg per kg of activated carbon) at a partial pressure of 50 mmHg and 30ºC?
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 56 of 65
56. Question
2 pointsCategory: MASS TRANSFERConsider the following two cases for a binary mixture of ideal gases A and B under steady state conditions. In Case 1, the diffusion of A occurs through nondiffusing B. In Case 2, equimolal counter diffusion of A and B occurs. In both the cases, the total pressure is 100 kPa and the partial pressures of A at two points separated by a distance of 10 mm are 10 kPa and 5 kPa. Assume that the Fick‟s first law of diffusion is applicable. What is the ratio of molar flux of A in Case 1 to that in Case 2?
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 57 of 65
57. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGThe liquid phase reversible reaction A⇔B is carried out in an isothermal CSTR operating under steady state conditions. The inlet stream does not contain B and the concentration of A in the inlet stream is 10 mol/lit. The concentrations of A at the reactor exit, for residence times of 1s and 5s are 8 mol/lit and 5 mol/lit, respectively. Assume the forward and backward reactions are elementary following the first order rate law. Also assume that the system has constant molar density. The rate constant of the forward reaction (in s‒1, rounded off to the third decimal place) is __________.
Correct
1ST EXPLANATION
5k12k2=1
On solving (iv) and (v), k1 – 0.267 s¹ .2ND EXPLANATION
Incorrect
1ST EXPLANATION
5k12k2=1
On solving (iv) and (v), k1 – 0.267 s¹ .2ND EXPLANATION

Question 58 of 65
58. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGA liquid phase irreversible reaction A→ B is carried out in an adiabatic CSTR operating under steady state conditions. The reaction is elementary and follows the first order rate law. For this reaction, the figure below shows the conversion (XA) of A as a function of temperature (T) for different values of the rate of reaction ϒA ( in mol m³ s¹ ) denoted by the numbers to the left of each curve. This figure can be used to determine the rate of the reaction at a particular temperature, for a given conversion of A.
The inlet stream does not contain B and the concentration of A in the inlet stream is 5 mol/m³.The molar feed rate of A is 100 mol/s. A steady state energy balance for this CSTR results in the following relation: T =350+ 25 XA where T is the temperature (in K) of the exit stream and XA is the conversion of A in the CSTR. For an exit conversion of 80 % of A, the volume (in m³, rounded off to the first decimal place) of CSTR required is______
Correct
1ST EXPLANATION
2ND EXPLANATION
Incorrect
1ST EXPLANATION
2ND EXPLANATION

Question 59 of 65
59. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGA porous pellet with Pt dispersed in it is used to carry out a catalytic reaction. Following two scenarios are possible.
Scenario 1: Pt present throughout the pores of the pellet is used for catalyzing the reaction.
Scenario 2: Pt present only in the immediate vicinity of the external surface of the pellet is used for catalyzing the reaction.
At a large value of Thiele modulus, which one of the following statements is TRUE?Correct
1st explanation
Thick modulus =reaction rate/diffusion rate
So, high thick modulus means reaction rate is much greater then diffusion rate.
Now, since diffusion rate is slow, it would be difficult for reactants to diffuse into the pores of the pellet. It would be beneficial if pt is present only in the immediate vicinity of the external surface of pellet.2nd explanation
Incorrect
1st explanation
Thick modulus =reaction rate/diffusion rate
So, high thick modulus means reaction rate is much greater then diffusion rate.
Now, since diffusion rate is slow, it would be difficult for reactants to diffuse into the pores of the pellet. It would be beneficial if pt is present only in the immediate vicinity of the external surface of pellet.2nd explanation

Question 60 of 65
60. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGA CSTR has a long inlet pipe. A tracer is injected at the entrance of the pipe. The Ecurve obtained at the exit of the CSTR is shown in the figure below.
Assuming plug flow in the inlet pipe, the ratio (rounded off to the second decimal place) of the volume of the pipe to that of the CSTR is_________
Correct
Answer: (0.230.27)
Incorrect
Answer: (0.230.27)

Question 61 of 65
61. Question
2 pointsCategory: FLUID MECHANICSA liquid flows through an “equal percentage” valve at a rate of 2m3/h when the valve is 10% open. When the valve opens to 20% the flow rate increases to 3 m³/h. Assume that the pressure drop across the valve and the density of the liquid remain constant. When the valve opens to 50%, the flow rate (in m3/h, rounded off to the second decimal place) is __________.
Correct
1st Explanation
For equal percentage valve
Given, f = 2 at x = 0.1
f = 3 at x = 0.2
x = % of opening
f = flow rateNow at x = 0.5 , where f=10.3 m³/h .
2nd Explanation
Incorrect
1st Explanation
For equal percentage valve
Given, f = 2 at x = 0.1
f = 3 at x = 0.2
x = % of opening
f = flow rateNow at x = 0.5 , where f=10.3 m³/h .
2nd Explanation

Question 62 of 65
62. Question
2 pointsCategory: PROCESS CONTROLA PI controller with integral time constant of 0.1 min is to be designed to control a process with transfer function
Assume the transfer functions of the measuring element and the final control element are both unity . The gain (rounded off to the first decimal place) of the controller that will constitute the critical condition for stability of the PI feedback control system is________
Correct
1st Explanation
2nd Explanation
Incorrect
1st Explanation
2nd Explanation

Question 63 of 65
63. Question
2 pointsCategory: PROCESS CONTROLWhat is the natural period of oscillation (in minutes) of the system ?
Correct
1st Explanation
2nd Explanation
Incorrect
1st Explanation
2nd Explanation

Question 64 of 65
64. Question
2 pointsCategory: ECONOMICSA vertical cylindrical tank with a flat roof and bottom is to be constructed for storing 150m³ of ethylene glycol. The cost of material and fabrication for the tank wall is Rs 6000 per m² and the same for the roof and the tank bottom are Rs 2000 and Rs 4000 per m², respectively. The cost of accessories, piping and instruments can be taken as 10% of the cost of the wall. 10% of the volume of the tank needs to be kept free as vapour space above the liquid storage. What is the optimum diameter (in m) for the tank?
Correct
1st Explanation
Incorrect
1st Explanation

Question 65 of 65
65. Question
2 pointsCategory: PROCESS CALCULATIONSA catalytic reforming plant produces hydrogen and benzene from cyclohexane by dehydro aromatisation. In order to increase the production of hydrogen, the owner plans to change the process to steam reforming of the same feedstock that produces hydrogen and carbon dioxide. Stoichiometrically, what is the maximum ratio of pure hydrogen produced in the proposed process to that in the existing process?
Correct
1st Explanation
Dehydro aromatisatin of cyclohexane to produce hydrogen and benzene
C6H12 → C6H6 + 3H2
Steam reforming of cyclo hexane to from CO2 and H2
C6H12 +12H2O→6CO2 + 18H2
So, according to stoichiometry, ratio of hydrogen in proposed process to that in existing process = 18/3 = 62nd Explanation
Incorrect
1st Explanation
Dehydro aromatisatin of cyclohexane to produce hydrogen and benzene
C6H12 → C6H6 + 3H2
Steam reforming of cyclo hexane to from CO2 and H2
C6H12 +12H2O→6CO2 + 18H2
So, according to stoichiometry, ratio of hydrogen in proposed process to that in existing process = 18/3 = 62nd Explanation