Thursday, December 17, 2020

GATE Chemical Engineering Questions and Answers - Mechanical Operations


The work index in Bond’s law for crushing of solids has the following dimensions

                (A) No units (dimension less)

                (B)  KWh/Ton

                (C)  KW/Ton

                (D) KWm1/2/Ton

                                                                                                                        GATE 1998

            Answer:          (B)

 

At low Reynolds numbers, the power (P) required for operating a fluid in a stirred tank becomes independent of internal forces. In this limit, indicate which of the following relation is satisfied.

    (A) Po α Re-1

    (B) Po α Re0

    (C) Po α Re0.5

    (D) Po α Re1

                                                                                                                  GATE 1998

Answer:          (A)

 

For crushing of solids, the Rittenger’s law states that the work required for crushing is proportional to

(A)             The new surface created

(B)              The size reduction ratio

(C)              The change in volume due to crushing

(D)             None of these

                                                                                                                        GATE 1997

            Answer:          (A)

 

A suspension of glass beads ethylene glycol has a hindered settling velocity of 1.7 mm/s while terminal settling velocity of the single glass bead in the ethylene glycol is 17 mm/s. If the Richardson – Zaki hindered settling index is 4.5, the volume fraction of solids in the suspension is

(A)       0.1

(B)       0.4

(C)       0.6

(D)       0.8

                                                                                                                  GATE 1997

Answer:          (B)

 

The spherecity of a cylinder of 1 cm diameter and length 3 cm is

(A)             0.9

(B)              0.78

(C)              0.6

(D)             0.5

                                                                                                                        GATE 1996

            Answer:          (B)

 

Stoke’s equation is valid in the Reynolds number range

(A)       0.01 to 0.1

(B)       0.1 to 2

(C)       2 to 10

(D)       10 to 100

                                                                                                                  GATE 1996

            Answer:          (A)

 

A binary mixture of 100 µm size having densities of 2 g/cm3 and 4 g/cm3 is to be classified by elutriation technique using water. Estimate the range of velocities that can do the job and recommend a suitable value.

(A)             5.50×10-3 and 16.50×10-3 m/s

(B)              6.50×10-3 and 17.50×10-3 m/s

(C)              18.0×10-3 and 21.0×10-3 m/s

(D)             22.0×10-3 and 24.0×10-3 m/s

                                                                                                                        GATE 1995

            Answer:          (A)

 

A fluid energy mill is used for

(A)       Cutting

(B)       Grinding

(C)       Ultra grinding

(D)       Crushing

                                                                                                                  GATE 1995

Answer:          (C)

 

A suspension of uniform particles in water at a concentration of 500 Kg of solids per cubic meter of slurry is settling in a tank. Density of the particles is 2500 Kg/m3 and terminal velocity of a single particle is 20 cm/s. What will be the settling velocity of suspension? Richardson – Zaki index is 4.6.

(A)       20 cm/s

(B)       14.3 cm/s

(C)       7.16 cm/s

(D)       3.58 cm/s

                                                                                                                  GATE 1995

Answer:          (C)

 

A small model reactor is to be built for scale up studies of the behavior of a proposed large industrial stirred tank reactor having 100 times capacity. The bigger unit of 2 m diameter will have a liquid depth of 2 m. This will be fitted with a four bladed Rushtom Turbine of 0.6 m diameter. Estimate the dimensions of the smaller unit

(A)             0.06 m

(B)              0.08 m

(C)              0.095 m

(D)             0.10 m

                                                                                                                        GATE 1995

            Answer:          (A)

 

For separating particles of different densities, the differential settling method uses a liquid sorting medium of density

(A)       Intermediate between those of the light and heavy ones

(B)       Less than that of either one

(C)       Greater than that of either one

(D)       Of any arbitrary value

                                                                                                                  GATE 1993

Answer:          (B)

 

At very low rpm (Re less than 5), the power required for agitation is proportional to

(A)       D

(B)       D2

(C)       D3

(D)       D5

                                                                                                                  GATE 1993

Answer:          (C)

 

Particle A of diameter 10 microns settles in an oil of specific gravity 0.9 and viscosity 10 poise under stokes law. A particle B with diameter of 20 microns settling in the same oil will have a settling velocity

(A)             Same as that of A

(B)              One fourth as that of A

(C)              Twice that of A

(D)             Four times as that of A

                                                                                                                        GATE 1992

            Answer:          (D)

 

For a turbine- agitated and baffled tank, operating at low Reynolds number (based on impeller diameter) the power number P0 varies with Re as

    (A) Po α Re

    (B) Po α Re0.5

    (C) Po = constant

    (D) Po α (1/Re)

                                                                                                                     GATE 1992

Answer:          (D)

 

Energy requirement (per unit mass of material crushed /ground) is highest for

(A)       Jaw crusher

(B)       Rod mill

(C)       Ball mill

(D)       Fluid energy mill

                                                                                                                  GATE 1991

Answer:          (D)

 

In power correlations for agitated vessels the effect of Froude number appears

(A)       For baffled vessels when Reynolds number is less than 300

(B)       For un-baffled vessels when Reynolds number greater than 300

(C)       When there is no vortex formation

(D)       When the Reynolds number is less than 300

                                                                                                                  GATE 1990

Answer:          (B)

 

A mixture of coal and sand particles having sizes smaller than 1×10-4 m in diameter is to be separated by screening and subsequent elutriation with water. Recommend a screen aperture such that the oversize from the screen can be separated completely into sand and coal particles by elutriation. Assume stoke’s law is applicable. Ρsand =2650 kg/m3, ρcoal = 1350 kg/m3, ρwater = 1000 kg/m3, µwater = 1×10-3 kg/m.s

(A)             4.6×10-5 m

(B)              5.6×10-5 m

(C)              6.6×10-5 m

(D)             6.9×10-5 m

                                                                                                                          GATE 1990

            Answer:          (A)

 

In a gyratory crusher, the size reduction os primarily is effected by

(A)             Compression

(B)              Impact

(C)              Attrition

(D)             Cutting action

                                                                                                                        GATE 1990

            Answer:          (A)

 

A leaf filter filtering a slurry gave a total of 8 m3 filtrate is 30 min. Filtrate was continued till 11.3 m3 of filtrate was collected. Estimate washing time in minutes, if 11.3 m3 of wash water are used. The resistance of the cloth can be neglected a constant pressure is used throughout.

(A)             120 min

(B)              150 min

(C)              170 min

(D)             190 min

                                                                                                                        GATE 1989

            Answer:          (A)

 

A pair of rolls is to take a feed equivalent to spheres of 3 cm in diameter and crush them to spheres having 1 cm diameter. If the angle of nip is 16, what would be the diameter of rolls?

(A)             47 cm

(B)       48 cm

(C)       50 cm

(D)       52 cm

                                                                                                                       GATE 1988

            Answer:          (B)



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