Chemical Engineering Gate Yearwise 


Chemical Engineering Gate 2013 Questions with Answer

Ques 53 GATE 2013

A wet solid is dried over a long period of time by unsaturated air of nonzero constant relative humidity. The moisture content eventually attained by the solid is termed as the

A

unbound moisture content

B

bound moisture content

C

free moisture content

D

equilibrium moisture content


(d) is the correct answer.

Ques 54 GATE 2013

The vapor-liquid equilibrium curve of a binary mixture A-B, may be approximated by a linear equation over a narrow range of liquid mole fractions (0.2A<0.3) as follows y*A=1.325 xA+0.121. Here y*A is the mole fraction of A in the vapor. 100 moles of a feed (xA,F=0.28) is batch distilled to a final residue (xA,W=0.2). Using the Rayleigh equation, the number of moles of the residue left behind in the distillation unit, up to 2 digits after the decimal point, is


(39.42) is the correct answer.

Ques 55 GATE 2013

A crosscurrent cascade of N ideal stages is used to treat a feed stream of molar flow rate E. The feed stream contains a solute which is to be recovered by a pure solvent having a molar flow rate S. The solvent is divided equally between these N stages. The linear equilibrium curve relating the mole fractions x and y* of the solute in the raffinate and the extract respectively, is given by y*=m x. Assume dilute conditions. The ratio of the solute mole fraction in the original feed to that in the exit raffinate stream i.e. (X0/XN) is given by

A

[1+(mS/(NE))]N

B

[1+(NS/(mE))]N

C

1+(NE/(mS))]N

D

[1+(mE/(NS))]N


(a) is the correct answer.

Ques 56 GATE 2013

A study was conducted in which water was pumped through cylindrical pipes made of a sparingly soluble solid. For a given pipe and certain flow conditions, the mass transfer coefficient kc has been calculated as 1mm/s using the correlation Sh=0.025 Re0.6Sc0.33. If the velocity of the fluid and the diameter of the pipe are both doubled, what is the new value of kc in mm/s, up to 2 digits after the decimal point?


(1.52) is the correct answer.

Ques 57 GATE 2013

The vapor liquid equilibrium relation for an ideal binary system is given by y*A=(αABxA)/(1+(αAB-1)xA). Here xA and y*A are the mole fractions of species A in the liquid and vapor, respectively. The relative volatility (αAB) is greater than unity.
The liquid mole fraction xA at which the maximum difference between the equilibrium vapor mole fraction and liquid mole fraction occurs is

A

1/(1+√αAB)

B

0.75/(1+√αAB)

C

0.5/(√αAB+1)

D

0.75/(√αAB+1)


(a) is the correct answer.

Ques 58 GATE 2013

The vapor liquid equilibrium relation for an ideal binary system is given by y*A=(αABxA)/(1+(αAB-1)xA). Here xA and y*A are the mole fractions of species A in the liquid and vapor, respectively. The relative volatility (αAB) is greater than unity.
A liquid having the composition found in the first part of the linked answer question, is flash distilled at a steady state to a final liquid mole fraction of 0.25. If αAB is 2.5, the fraction of the feed vaporized is

A

0.08

B

0.20

C

0.67

D

0.74


(c) is the correct answer.

Ques 59 GATE 2013

In the Tyler standard screen scale series, when the mesh number increases from 3 mesh to 10 mesh, then

A

the clear opening decreases

B

the clear opening increases

C

the clear opening is unchanged

D

the wire diameter increases


(a) is the correct answer.

Ques 60 GATE 2013

Taking the acceleration due to gravity to be 10 m/s2, the separation factor of a cyclone 0.5 m in diameter and having a tangential velocity of 20 m/s near the wall is


(80) is the correct answer.

Ques 61 GATE 2013

In the elutriation leg of a commercial crystallizer containing a mixture of coarse and very fine crystals of the same material, a liquid is pumped vertically upward. The liquid velocity is adjusted such that it is slightly lower than the terminal velocity of the coarse crystals only. Hence

A

the very fine and coarse crystals will both be carried upward by the liquid

B

the very fine and coarse crystals will both settle at the bottom of the tube

C

the very fine crystals will be carried upward and the coarse crystals will settle

D

the coarse crystals will be carried upward and the very fine crystals will settle


(c) is the correct answer.

Ques 62 GATE 2013

100 ton/h of a rock feed, of which 80% passed through a mesh size of 2.54 mm, were reduced in size such that 80% of the crushed product passed through a mesh size of 1.27 mm. The power consumption was 100 kW. If 100 ton/h of the same material is similarly crushed from a mesh size of 5.08 mm to a mesh size of 2.54 mm, the power consumption (in kW, to the nearest integer) using Bond's law, is


(71) is the correct answer.

Ques 63 GATE 2013

The purchase cost of a heat exchanger of 20 m2 area was Rs. 500000 in 2006. What will be the estimated cost (in Rs. to the nearest integer) of a similar heat exchanger of 50 m2 area in the year 2013? Assume the six-tenths factor rule for scaling and the cost index for 2006 as 430.2. The projected cost index for the year 2013 is 512.6.


(1761619) is the correct answer.

Ques 64 GATE 2013

A plant manufactures compressors at the rate of N units/day. The daily fixed charges are Rs. 20000 and the variable cost per compressor is Rs. 500+0.2 N1.3. The selling price per compressor is Rs. 1000. The number of compressors to be manufactured, to the nearest integer, in order to maximize the daily profit is


(365) is the correct answer.

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