Chemical Engineering Gate Yearwise 


Chemical Engineering Gate 2010 Questions with Answer

Ques 1 GATE 2010

The Maxwell-Boltzmann velocity distribution for the x-component of the velocity, at temperature T, is f(vx)=√(m/(2πkT))exp(-mvx2/(2kT)). The standard deviation of the distribution is

A

√(2kT/m)

B

kT/m

C

√(kT/m)

D

kT/(2m)


(c) is the correct answer.

Ques 2 GATE 2010

An equimolar liquid mixture of species 1 and 2 is in equilibrium with its vapour at 400 K. At this temperature, the vapour pressures of the species are P1sat=180 kPa and P2sat=120 kPa. Assuming that Raoult's law is valid, the value of y1 is

A

0.30

B

0.41

C

0.50

D

0.60


(d) is the correct answer.

Ques 3 GATE 2010

A new linear temperature scale, denoted by °S, has been developed, where the freezing point of water is 200°S and the boiling point is 400°S. On this scale, 500°S corresponds. in degrees Celsius, to

A

100°C

B

125°C

C

150°C

D

300°C


(c) is the correct answer.

Ques 4 GATE 2010

A saturated liquid at 1500 kPa and 500 K, with an enthalpy of 750 kJ/kg. is throttled to a liquid-vapour mixture at 150 kPa and 300 K. At the exit conditions, the enthalpy of the saturated liquid is 500 kJ/kg and the enthalpy of the saturated vapour is 2500 kJ/kg. The percentage of the original liquid, which vaporizes, is

A

87.5%

B

67%

C

12.5%

D

10%


(c) is the correct answer.

Ques 5 GATE 2010

At constant T and P, the molar density of a binary mixture is given by ρ=1+x2 where x1 is the mole fraction of component 2. The partial molar volume at infinite dilution for component I, ‾V1∞ is

A

0.75

B

1.0

C

2.0

D

4.0


(c) is the correct answer.

Ques 6 GATE 2010

For a first order isothermal catalytic reaction, A→P. occurring in an infinitely long cylindrical pore, the relationship between effectiveness factor, ε, and Thiele modulus φ is

A

ε=1/φ2

B

ε=φ

C

ε=1

D

ε=1/φ


(d) is the correct answer.

Ques 7 GATE 2010

Two reactors (reactor 1 and reactor 2) with average residence times, τ1 and τ2 respectively. are placed in series. Reactor 1 has zero dispersion and reactor 2 has infinite dispersion. The residence-time distribution. E(t) of this system. is given by

A

{0, t≤τ1; (1/τ2)exp(-(t-τ1)/τ2), t>τ1}

B

{0, t≤τ2; (1/τ1)exp(-(t-τ2)/τ1), t>τ2}

C

{0, t≤τ1; (1/τ1)exp(-(t-τ1)/τ2), t>τ1}

D

{0, t≤τ2; (1/τ2)exp(-t/τ1), t>τ2}


(a) is the correct answer.

Ques 8 GATE 2010

An autocatalytic liquid phase reaction. A+R→2R is conducted in an isothermal batch reactor with a small initial concentration of R. Assume that the order of reaction with respect to both reactants is positive. The rate of reaction (-rA) versus concentration, CA, as the reaction proceeds, is depicted by

A

A

B

B

C

C

D

D


(c) is the correct answer.

Ques 9 GATE 2010

A liquid phase reaction, A→B, is conducted isothermally in a CSTR having a residence time of 2 s. The inlet concentration of species A is 2 moles/litre, and the outlet concentration is 1 mole/litre. The rate law for the reaction is -rA=kCA/(K+CA) where k=5 moles/litre/s.
The value of K, in moles/litre, is

A

11

B

9

C

5

D

2


(d) is the correct answer.

Ques 10 GATE 2010

A liquid phase reaction, A→B, is conducted isothermally in a CSTR having a residence time of 2 s. The inlet concentration of species A is 2 moles/litre, and the outlet concentration is 1 mole/litre. The rate law for the reaction is -rA=kCA/(K+CA) where k=5 moles/litre/s.
If the same reaction is conducted in a series of two CSTRs with residence times 1 s and 0.2 s. then the inlet concentration of A, in moles/litre, required to attain an outlet concentration of A of 1 mole/litre, is

A

2.64

B

2.00

C

1.64

D

0.54


(a) is the correct answer.

Ques 11 GATE 2010

In the manufacture of caustic soda from brine, which ONE of the following statements is TRUE?

A

The membrane cell CANNOT produce concentrated NaOH solution, and CANNOT tolerate calcium and magnesium ions in the feed brine.

B

The membrane cell CANNOT produce concentrated NaOH solution, but CAN tolerate calcium and magnesium ions in the feed brine.

C

The membrane cell CAN produce concentrated NaOH solution, but CANNOT tolerate calcium and magnesium ions in the feed brine.

D

The membrane cell CAN produce concentrated NaOH solution, and CAN tolerate calcium and magnesium ions in the feed brine.


(c) is the correct answer.

Ques 12 GATE 2010

For making superphosphate by acidulation of phosphate rock, use of nitric acid is desirable, because

A

nitric acid is less expensive than sulphuric acid

B

the availability of nitrogen enhances the value of the superphosphate as a fertilizer

C

the process produces non-hygroscopic superphospate

D

the process produces superphosphate having higher phosphorus content than the sulphuric acid process


(b) is the correct answer.

Ques 13 GATE 2010

Match the processes in Group 1 with the products in Group II.
GROUP 1
P. Claus process
Q. Linde process
R. Lurgi process
GROUP II
I. Syngas
II. Oxygen
III. Sulphur

A

P-I, Q-II, R-III

B

P-II, Q-I, R-III

C

P-III, Q-I, R-D

D

P-III, Q-II, R-I


(d) is the correct answer.

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