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Chemical Engineering Gate 2012
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 APTITUDE 0%
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 CHEMICAL TECHNOLOGY 0%
 ECONOMICS 0%
 FLUID MECHANICS 0%
 HEAT TRANSFER 0%
 INSTRUMENTATION 0%
 MASS TRANSFER 0%
 MATHEMATICS 0%
 PROCESS CALCULATIONS 0%
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Question 1 of 65
1. Question
1 pointsCategory: MATHEMATICSConsider the following set of linear algebraic equations
X1 + 2X2 + 3X3 =2
X2 + X3 =1
2X2 + 2X3 =0
The system has
Correct
1st explanation
rank(A) =rank(A/B)=3
so system is inconsistent and has no solutions
2nd explanation
Incorrect
1st explanation
rank(A) =rank(A/B)=3
so system is inconsistent and has no solutions
2nd explanation

Question 2 of 65
2. Question
1 pointsCategory: MATHEMATICSIf a and b are arbitrary constants, then the solution to the ordinary differential equation is
Correct
1st explanation
Let us solve with the help of options (because its easy and time saving )
2nd explanation
Incorrect
1st explanation
Let us solve with the help of options (because its easy and time saving )
2nd explanation

Question 3 of 65
3. Question
1 pointsCategory: MATHEMATICSFor the function
the Taylor series approximation for t<<τ is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 4 of 65
4. Question
1 pointsCategory: APTITUDEA box containing 10 identical compartments has 6 red balls and 2 blue balls. If each compartment can hold only one ball, then the number of different possible arrangements are
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 5 of 65
5. Question
1 pointsCategory: MATHEMATICSConsider the following (2×2) matrix
Which one of the following vectors is NOT a valid eigen vector of the above matrix
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 6 of 65
6. Question
1 pointsCategory: THERMODYNAMICSIn a throttling process, the pressure of an ideal gas reduces by 50 %. If Cp and Cv are the heat capacities at constant pressure and constant volume, respectively (γ= Cp/Cv), the specific volume will change by a factor of
Correct
Incorrect

Question 7 of 65
7. Question
1 pointsCategory: THERMODYNAMICSIf the temperature of saturated water is increased infinitesimally at constant entropy, the resulting state of water will be
Correct
Incorrect

Question 8 of 65
8. Question
1 pointsCategory: HEAT TRANSFERIn a parallel flow heat exchanger operating under steady state, hot liquid enters at a temperature Th,in and leaves at a temperature Th,out . Cold liquid enters at a temperature Tc,in and leaves at a temperature Tc,out . Neglect any heat loss from the heat exchanger to the surrounding. If Th,in >> Tc,in, then for a given time interval, which ONE of the following statements is true
Correct
Incorrect

Question 9 of 65
9. Question
1 pointsCategory: THERMODYNAMICSFor an exothermic reversible reaction, which one of the following correctly describes the dependence of the equilibrium constant ( K ) with temperature ( T ) and pressure ( P ) ?
Correct
Incorrect

Question 10 of 65
10. Question
1 pointsCategory: FLUID MECHANICSWater is flowing under laminar conditions in a pipe of length L . If the diameter of the pipe is doubled, for a constant volumetric flow rate, the pressure drop across the pipe
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 11 of 65
11. Question
1 pointsCategory: FLUID MECHANICSThe local velocity of a fluid along a streamline can be measured by
Correct
Incorrect

Question 12 of 65
12. Question
1 pointsCategory: HEAT TRANSFERFor uniform laminar flow (in the x direction) past a flat plate at high Reynolds number, the local boundary layer thickness ( δ ) varies with the distance along the plate ( x ) as
Correct
1st explanation
For a flow over flat plate,the local boundary layer thickness ( δ ) varies with
x^0.5 for laminar flow
x^0.8 for fully developed turbulent flow
2nd explanation
Incorrect
1st explanation
For a flow over flat plate,the local boundary layer thickness ( δ ) varies with
x^0.5 for laminar flow
x^0.8 for fully developed turbulent flow
2nd explanation

Question 13 of 65
13. Question
1 pointsCategory: FLUID MECHANICSIn a mixing tank operating at very high Reynolds number (> 10^4 ), if the diameter of the impeller is doubled (other conditions remaining constant), the power required increases by a factor of
Correct
1st explanation
For mixing tank :
2nd explanation
Incorrect
1st explanation
For mixing tank :
2nd explanation

Question 14 of 65
14. Question
1 pointsCategory: HEAT TRANSFERFor heat transfer across a solidfluid interface, which one of the following statements is NOT true when the Biot number is very small compared to 1?
Correct
Incorrect

Question 15 of 65
15. Question
1 pointsCategory: HEAT TRANSFERA solid sphere with an initial temperature Ti is immersed in a large thermal reservoir of temperature To . The sphere reaches a steady temperature after a certain time t1 . If the radius of the sphere is doubled, the time required to reach steadystate will be
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 16 of 65
16. Question
1 pointsCategory: HEAT TRANSFERIf the Nusselt number ( Nu ) for heat transfer in a pipe varies with Reynolds number ( Re ) as Nu ∝ Re^0.8 , then for constant average velocity in the pipe, the heat transfer coefficient varies with the pipe diameter D as
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 17 of 65
17. Question
1 pointsIn the McCabeThiele diagram, if the x coordinate of the point of intersection of the q line and the vaporliquid equilibrium curve is greater than the x coordinate of the feed point, then the quality of the feed is
Correct
1st explanation
Present case fall under (1) liquid below bubble point
2nd explanation
Incorrect
1st explanation
Present case fall under (1) liquid below bubble point
2nd explanation

Question 18 of 65
18. Question
1 pointsCategory: MASS TRANSFERFor which of the following combinations, does the absorption operation become gasfilm controlled?
P. The solubility of gas in the liquid is very high
Q. The solubility of gas in the liquid is very low
R. The liquidside mass transfer coefficient is much higher than the gasside mass transfer coefficient
S. The liquidside mass transfer coefficient is much lower than the gasside mass transfer coefficient
Correct
Incorrect

Question 19 of 65
19. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGThe halflife of an nth order reaction in a batch reactor depends on
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 20 of 65
20. Question
1 pointsCategory: CHEMICAL REACTION ENGINEERINGConsider the reaction scheme shown below
Both the reactions are firstorder. The activation energies for k1 and k2 are 80 and 20 kJ/mol, respectively. To maximize the yield of B, it is preferable to use
Correct
1st explanation
For the given reaction
High temperature and high concentration of CA IS needed for maximum yield of B.
2nd explanation
Incorrect
1st explanation
For the given reaction
High temperature and high concentration of CA IS needed for maximum yield of B.
2nd explanation

Question 21 of 65
21. Question
1 pointsCategory: CHEMICAL TECHNOLOGYIn petroleum refining, catalytic reforming is used to convert
Correct
Incorrect

Question 22 of 65
22. Question
1 pointsCategory: CHEMICAL TECHNOLOGYThe final boiling points of gasoline, diesel, atmospheric gas oil (AGO) and lubricating oils vary as
Correct
Incorrect

Question 23 of 65
23. Question
1 pointsCategory: CHEMICAL TECHNOLOGYThe main unit processes used for the production of hydrogen from natural gas are steam reforming (SR), pressure swing adsorption (PSA), low temperature water gas shift reaction (LT WGS) and high temperature water gas shift reaction (HT WGS). The correct sequence of these in the plant is
Correct
Incorrect

Question 24 of 65
24. Question
1 pointsCategory: PROCESS CONTROLA thermometer initially at 100°C is dipped at t = 0 into an oil bath, maintained at 150°C. If the recorded temperature is 130°C after 1 minute, then the time constant of thermometer (in min) is
Correct
1st explanation
For Thermometer :
2nd explanation
Incorrect
1st explanation
For Thermometer :
2nd explanation

Question 25 of 65
25. Question
1 pointsCategory: PROCESS CONTROLThe Bode stability criterion is applicable when
Correct
Incorrect

Question 26 of 65
26. Question
2 pointsCategory: HEAT TRANSFERThe one – dimensional unsteady state heat conduction equation in a hollow cylinder with a constant heat source q is
If A and B are arbitrary constants, then the steady state solution to the above equation is
Correct
1st explanation
For steady state solution , dT/dt =0
2nd explanation
Incorrect
1st explanation
For steady state solution , dT/dt =0
2nd explanation

Question 27 of 65
27. Question
1 pointsCategory: MATHEMATICSIf a is a constant, then the value of the integral is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 28 of 65
28. Question
2 pointsCategory: MATHEMATICSThe Newton – Raphson method is used to find the roots of the equation
0≤x≤1
If the initial guess for the root is 0.5, then the value of x after the first iteration is
Correct
1st explanation
0≤x≤1
Newton raphson method to find roots of f(x)
2nd explanation
Incorrect
1st explanation
0≤x≤1
Newton raphson method to find roots of f(x)
2nd explanation

Question 29 of 65
29. Question
2 pointsCategory: MATHEMATICSif the value of the integral using the Cauchy residue theorem is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 30 of 65
30. Question
2 pointsCategory: THERMODYNAMICSAn insulated, evacuated container is connected to a supply line of an ideal gas at pressure Ps , temperature Ts and specific volume νs . The container is filled with the gas until the pressure in the container reaches Ps . There is no heat transfer between the supply line to the container, and kinetic and potential energies are negligible. If Cp and Cv are the heat capacities at constant pressure and constant volume, respectively ( ), then the final temperature of the gas in the container is
Correct
Incorrect

Question 31 of 65
31. Question
2 pointsCategory: THERMODYNAMICSConsider a binary liquid mixture at constant temperature T and pressure P . If the enthalpy change of mixing, , where 1 x and 2 x are the mole fraction of species 1 and 2 respectively, and the entropy change of mixing (with R = 8.314 J/mol.K), then the minimum value of the Gibbs free energy change of mixing at 300 K occurs when
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 32 of 65
32. Question
2 pointsCategory: FLUID MECHANICSA bed of spherical glass beads (density 3000 kg/m³, diameter 1 mm, bed porosity 0.5) is to be fluidized by a liquid of density 1000 kg/m³ and viscosity 0.1 Pa.s. Assume that the Reynolds number based on particle diameter is very small compared to one. If g = 10 m/s², then the minimum velocity (in m/s) required to fluidize the bed is
Correct
Incorrect

Question 33 of 65
33. Question
2 pointsCategory: HEAT TRANSFERthe enclosure formed between two concentric spheres as shown below ( R2 = 2R1 ), the fraction of radiation leaving the surface area A2 that strikes itself is
Correct
Incorrect

Question 34 of 65
34. Question
2 pointsCategory: HEAT TRANSFERHeat is generated at a steady rate of 100 W due to resistance heating in a long wire (length = 5 m, diameter = 2 mm). This wire is wrapped with an insulation of thickness 1 mm that has a thermal conductivity of 0.1 W/m.K. The insulated wire is exposed to air at 30°C. The convective heat transfer between the wire and surrounding air is characterized by a heat transfer coefficient of 10 W/m².K. The temperature (in °C) at the interface between the wire and the insulation is
Correct
Incorrect

Question 35 of 65
35. Question
2 pointsCategory: HEAT TRANSFERIn a counterflow double pipe heat exchanger, oil (m = 2 kg/s, P C = 2.1 kJ/kg.°C) is cooled from 90 °C to 40 °C by water (m = 1 kg/s, P C = 4.2 kJ/kg.°C) which enters the inner tube at 10 °C. The radius of the inner tube is 3 cm and its length is 5 m. Neglecting the wall resistance, the overall heat transfer coefficient based on the inner radius, in kW/ m².K, is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 36 of 65
36. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGThe ratecontrolling step for the solidcatalyzed irreversible reaction A+ B → C is known to be the reaction of adsorbed A with adsorbed B to give adsorbed C . If Pi is the partial pressure of component i and Ki is the adsorption equilibrium constant of component i , then the form of the LangmuirHinshelwood rate expression will be
Correct
Incorrect

Question 37 of 65
37. Question
2 pointsCategory: MASS TRANSFERConsider the drying operation shown in the figure below for a solid loading (dry basis) of 50 kg/m² with a constant drying rate of 5 kg/m².h. The falling rate of drying is linear with moisture content
The drying time (in hrs) required to reduce an initial moisture content of 25% to a final moisture content of 2% is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 38 of 65
38. Question
2 pointsCategory: MASS TRANSFERAn equimolar mixture of A and B (A being more volatile) is flash distilled continuously at a feed rate of 100 kmol/h, such that the liquid product contains 40 mol % of A. If the relative volatility is 6, then the vapor product, in kmol/h, is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 39 of 65
39. Question
2 pointsCategory: INSTRUMENTATIONA thermocouple having a linear relationship between 0 ºC and 350 ºC shows an emf of zero and 30.5 mV, respectively at these two temperatures. If the cold junction temperature is shifted from 0 ºC to 30 ºC, then the emf correction (in mV) is
Correct
1st explanation
since , the relationship is linear ,
2nd explanation
Incorrect
1st explanation
since , the relationship is linear ,
2nd explanation

Question 40 of 65
40. Question
2 pointsCategory: PROCESS CONTROLThe characteristic equation for a system is
Using the Routh test, the value of Kc that will keep the system on the verge of instability is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 41 of 65
41. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGThe elementary reversible exothermic gasphase reaction
is to be conducted in a nonisothermal, nonadiabatic plug flow reactor. The maximum allowable reactor temperature is Tmax . To minimize the total reactor volume, the variation of reactor temperature (T ) with axial distance from the inlet ( z ) should be
Correct
Incorrect

Question 42 of 65
42. Question
2 pointsCategory: PROCESS CONTROLThe block diagram of a system with a proportional controller is shown below
A unit step input is introduced in the set point. The value of Kc to provide a critically damped response for
Correct
Incorrect

Question 43 of 65
43. Question
2 pointsCategory: ECONOMICSCorrect
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 44 of 65
44. Question
2 pointsCategory: ECONOMICSHeat integration is planned in a process plant at an investment Rs This would result in a net energy savings of 20 GJ per year. If the nominal rate of interest is 15% and the plant life is 3 years, then the breakeven cost of energy, in Rs. per GJ (adjusted to the nearest hundred), is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 45 of 65
45. Question
2 pointsIn a 11 pass floating head type shell and tube heat exchanger, the tubes (od = 25 mm; id = 21 mm) are arranged in a square pitch. The tube pitch is 32 mm. The thermal conductivity of the shell side fluid is 0.19 W/m.K, and the Nusselt number is 200. The shellside heat transfer coefficient (in W/m².K), rounded off to the nearest integer, is
Correct
Incorrect

Question 46 of 65
46. Question
2 pointsCategory: CHEMICAL TECHNOLOGYMatch the process in Group I with the catalyst in Group II
Correct
Incorrect

Question 47 of 65
47. Question
2 pointsCategory: CHEMICAL TECHNOLOGYMatch the polymer in Group I to the polymer characteristic in Group II
Correct
Incorrect

Question 48 of 65
48. Question
2 pointsCategory: MASS TRANSFERCommon Data for Questions 48 and 49:
A countercurrent extraction column is designed to remove 99% of solute C from a solution of solvent A and solute C using pure solvent B. The initial concentration of solute in the solution of A + C is 20 wt %, and the total flow of solution is 1000 kg/h. If the equilibrium relationship is Y = 2X , where
Y = mass of C/mass of A and X = mass of C/mass of B.Q.48 The minimum flow rate of solvent B required (in kg/h) is
Correct
1st explanation
2nd explanation
Incorrect
1st explanation
2nd explanation

Question 49 of 65
49. Question
2 pointsCategory: MASS TRANSFERCommon Data for Questions 48 and 49:
A countercurrent extraction column is designed to remove 99% of solute C from a solution of solvent A and solute C using pure solvent B. The initial concentration of solute in the solution of A + C is 20 wt %, and the total flow of solution is 1000 kg/h. If the equilibrium relationship is Y = 2X , where
Y = mass of C/mass of A and X = mass of C/mass of B.Q.49 If the flow rate of B is 2400 kg/h, then the theoretical number of stages in the column, using Kremser’s equation (adjusted to the next integer) is
Correct
Incorrect

Question 50 of 65
50. Question
2 pointsCategory: PROCESS CALCULATIONSThe reaction is carried out in a reactor followed by a separator as shown below
Notation:
and A is completely converted.
Correct
Incorrect

Question 51 of 65
51. Question
2 pointsCategory: PROCESS CALCULATIONSThe reaction is carried out in a reactor followed by a separator as shown below
Notation:
and A is completely converted.
Correct
Incorrect

Question 52 of 65
52. Question
2 pointsCategory: FLUID MECHANICSStatement for Linked Answer Questions 52 and 53:
A Newtonian fluid of viscosity μ flows between two parallel plates due to the motion of the bottom plate (as shown below), which is moved with a velocity V . The top plate is stationary
Q.52 The steady, laminar velocity profile in the x direction is
Correct
Incorrect

Question 53 of 65
53. Question
2 pointsCategory: FLUID MECHANICSStatement for Linked Answer Questions 52 and 53:
A Newtonian fluid of viscosity μ flows between two parallel plates due to the motion of the bottom plate (as shown below), which is moved with a velocity V . The top plate is stationary
Q.53 The force per unit area (in the x direction) that must be exerted on the bottom plate to maintain the flow is
Correct
Incorrect

Question 54 of 65
54. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGStatement for Linked Answer Questions 54 and 55 :
The first order liquid phase reaction A → P is conducted isothermally in a plug flow reactor of 5 liter volume. The inlet volumetric flow rate is 1 liter/min and the inlet concentration of A is 2 mole/liter.
Q. 54 If the exit concentration of A is 0.5 mole/liter, then the rate constant, in min–¹, isCorrect
Incorrect

Question 55 of 65
55. Question
2 pointsCategory: CHEMICAL REACTION ENGINEERINGStatement for Linked Answer Questions 54 and 55 :
The first order liquid phase reaction A → P is conducted isothermally in a plug flow reactor of 5 liter volume. The inlet volumetric flow rate is 1 liter/min and the inlet concentration of A is 2 mole/literQ. 55 The plug flow reactor is replaced by 3 mixed flow reactors in series, each of 2.0
liters volume. The exact conversion of A (in %) isCorrect
Incorrect

Question 56 of 65
56. Question
1 pointsCategory: APTITUDEWhich one of the following options is the closest in meaning to the word given below ?
MitigateCorrect
Incorrect

Question 57 of 65
57. Question
1 pointsCategory: APTITUDEChoose the most appropriate alternative from the options given below to complete the following sentence:
Despite several___the mission succeeded in its attempt to resolve the conflict.Correct
Incorrect

Question 58 of 65
58. Question
1 pointsCategory: APTITUDEThe cost function for a product in a firm is given by 5 q², where q is the amount of production. The firm can sell the product at a market price of Rs.50 per unit. The number of units to be produced by the firm such that the profit is maximized is
Correct
Incorrect

Question 59 of 65
59. Question
1 pointsCategory: APTITUDEChoose the most appropriate alternative from the options given below to complete the following sentence:
Suresh’s dog is the_____was hurt in the stampede.
Correct
Incorrect

Question 60 of 65
60. Question
1 pointsCategory: APTITUDEChoose the grammatically INCORRECT sentence:
Correct
Incorrect

Question 61 of 65
61. Question
2 pointsCategory: APTITUDEAn automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies 60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of X’s shock absorbers, 96% are reliable. Of Y’s shock absorbers, 72% are reliable. The probability that a randomly chosen shock absorber, which is found to be reliable, is made by Y is
Correct
Incorrect

Question 62 of 65
62. Question
2 pointsCategory: APTITUDEA political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation y = 2x – 0.1 x² where y is the height of the arch in meters. The maximum possible height of the arch is
Correct
Incorrect

Question 63 of 65
63. Question
2 pointsCategory: APTITUDEWanted Temporary, Parttime persons for the post of Field Interviewer to conduct personal interviews to collect and collate economic data. Requirements: High School pass, must be available for Day, Evening and Saturday work. Transportation paid, expenses reimbursed.
Which one of the following is the best inference from the above advertisement ?Correct
Incorrect

Question 64 of 65
64. Question
2 pointsCategory: APTITUDEGiven the sequence of terms, AD CG FK JP the next term is
Correct
Incorrect

Question 65 of 65
65. Question
2 pointsCategory: APTITUDEWhich of the following assertions are CORRECT ?
P: Adding 7 to each entry in a list adds 7 to the mean of the list
Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list
R: Doubling each entry in a list doubles the mean of the list
S: Doubling each entry in a list leaves the standard deviation of the list unchangedCorrect
Incorrect
0sincostansin^{1}cos^{1}tan^{1}πex^{y}x^{3}x^{2}e^{x}10^{x}^{y}√x^{3}√x√xlnlog()1/x%n!789+MS456–M+123×M0.EXP÷MR±RNDC=MC 
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