Chemical Engineering Gate 2010 Questions with Answer

Ques 53 GATE 2010


Consider the cascade control configuration shown in the figure below:

The system is stable when Kc,2, is

A

3/4

B

1

C

5/4

D

3/2


(c) is the correct answer.

Ques 54 GATE 2010


A saturated solution at 30°C contains 5 moles of solute (M.W.=50 kg/kmol) per kg of solvent (M.W.=20 kg/kmol). The solubility at 100°C is 10 moles of the solute per kg of the solvent. If 10 kg of the original solution is heated to 100°C, then the weight of the additional solute that can be dissolved in it, is

A

0.25 kg

B

0.5 kg

C

2 kg

D

3.34 kg


(c) is the correct answer.

Ques 55 GATE 2010


The products of combustion of methane in atmospheric air (21% O2 and 79% N2) have the following composition on a dry basis:

ProductsMole %
CO210.00
O22.37
CO0.53
N287.10

The ratio of the moles of CH4 to the moles of O2 in the feed stream is

A

1.05

B

0.60

C

0.51

D

0.45


(c) is the correct answer.

Ques 56 GATE 2010


A liquid flows over a flat naphthalene plate of length L. at a Reynolds number (ReL=Lρu/μ) of 1500. as shown in the figure. The surface concentration of naphthalene is CA,s>CA,∞ and the surface temperature is Ts>T. Assume Pr=Sc=1.

If, at x=L, ∂CA*/∂y*|y*=0=10. where CA*=(CA-CA,∞)/(CA,s-CA,∞) and y*=y/L, then the Nusselt number and the friction coefficient at x=L, are

A

10, 1/75

B

10, 10

C

20, 10

D

5, 1/75


(a) is the correct answer.

Ques 57 GATE 2010


The flooding velocity in a plate column, operating at 1 atm pressure. is 3m/s. If the column is operated at 2 atm pressure, under otherwise identical conditions, the loading velocity will be

A

3/√2

B

3/2

C

1

D

3/4


(b) is the correct answer.

Ques 58 GATE 2010


At 25°C and 90% relative humidity, water evaporates from the surface of a lake at the rate of 1.0 kg/m2/h. The relative humidity that will lead to an evaporation rate of 3.0 kg/m2/h, with other conditions remaining the same, is

A

30%

B

50%

C

60%

D

70%


(d) is the correct answer.

Ques 59 GATE 2010


Water is used to absorb ammonia from a gas mixture in a single separation stage contactor. The process is schematically represented in the figure below.

The molar gas and liquid flow rates, and the inlet mole fractions are given in the figure. Both the liquid and the gas phases are well mixed, and the equilibrium relation between y and x is given by y*=x.
If the stage is ideal, then the value of y is

A

1/15

B

1/10

C

2/15

D

1/6


(c) is the correct answer.

Ques 60 GATE 2010


Water is used to absorb ammonia from a gas mixture in a single separation stage contactor. The process is schematically represented in the figure below.

The molar gas and liquid flow rates, and the inlet mole fractions are given in the figure. Both the liquid and the gas phases are well mixed, and the equilibrium relation between y and x is given by y*=x.
If the stage efficiency is 50%, then the value of y is

A

1/12

B

1/6

C

1/4

D

1/3


(b) is the correct answer.

Ques 61 GATE 2010


The critical speed (revolutions per unit time) of a ball mill of radius R, which uses balls of radius r, is

A

1/(2π)√(g/√Rr)

B

1/(2π)√(ρ/R)

C

1/(2π)√(g/r)

D

1/(2π)√(g/(R-r))


(d) is the correct answer.

Ques 62 GATE 2010


The term, knuckle radius, is associated with

A

flat heads

B

torispherical heads

C

hemispherical heads

D

conical heads


(b) is the correct answer.

Ques 63 GATE 2010


A reactor needs to be lined with a corrosion resistant lining. One type of lining costs Rs. 5 lakhs, and is expected to last for 2 years. Another type of lining lasts for 3 years. If both choices have to be equally economical, with the effective interest rate being 18%, compounded annually, the price one should pay for the second type of lining is

A

Rs. 6.1 lakhs

B

Rs. 6.5 lakhs

C

Rs. 6.9 lakhs

D

Rs. 7.6 lakhs


(c) is the correct answer.

Ques 64 GATE 2010


A plant produces phenol. The variable cost in rupees per tonne of phenol is related to the plant capacity P (in tonnes/day) as 45000+5P. The fixed charges are Rs. 100,000 per day. The selling price of phenol is Rs. 50,000 per tonne.
The optimal plant capacity (in tonnes per day) for minimum cost per tonne of phenol, is

A

101

B

141

C

283

D

422


(b) is the correct answer.

Ques 65 GATE 2010


A plant produces phenol. The variable cost in rupees per tonne of phenol is related to the plant capacity P (in tonnes/day) as 45000+5P. The fixed charges are Rs. 100,000 per day. The selling price of phenol is Rs. 50,000 per tonne.
The break-even capacity in tonnes per day. is

A

50

B

400

C

300

D

20


(c) is the correct answer.

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