Chemical Engineering Gate Yearwise 


Chemical Engineering Gate 2011 Questions with Answer

Ques 14 GATE 2011

The CORRECT sequence of process equipment used in the production of sulphuric acid from sulphur by contact process is

A

burner, catalytic converter, 98% sulphuric acid absorption tower, oleum absorption column

B

catalytic converter, oleum absorption column, 98% sulphuric acid absorption tower, burner

C

burner, catalytic converter, oleum absorption column, 98% sulphuric acid absorption tower

D

burner, oleum absorption column, catalytic converter, 98% sulphuric acid absorption tower


(a) is the correct answer.

Ques 15 GATE 2011

Hydrotreating is used for

A

removal of water from crude oil

B

treatment of crude oil with water

C

improving octane number of gasoline

D

removal of sulphur and nitrogen from petroleum fractions


(d) is the correct answer.

Ques 16 GATE 2011

Zeolite ZSM-5 is added to commercial FCC catalyst for

A

promoting SO2 reduction

B

promoting CO oxidation

C

improving tolerance to metal content in feed

D

enhancing Octane number


(d) is the correct answer.

Ques 17 GATE 2011

R is a closed planar region as shown by the shaded area in the figure below. Its boundary C consists of the circles C1 and C2.

If F1(x,y), F2(x,y), ∂F2/∂x and ∂F1/∂y are all continuous everywhere in R, Green's theorem states that ∫∫R(∂F2/∂x-∂F1/∂y)dxdy = ∮C(F1dx+F2dy). Which ONE of the following alternatives CORRECTLY depicts the direction of integration along C?

A

B

C

D


(c) is the correct answer.

Ques 18 GATE 2011

Which ONE of the following functions y(x) has the slope of its tangent equal to ax/y? Note: a and b are real constants

A

y=(x+b)/a

B

y=ax+b

C

y=√(ax2+b)

D

y=√((x2+b)/a)


(d) is the correct answer.

Ques 19 GATE 2011

Let λ1=-1 and λ2=3 be the eigenvalues and V31=(1; 0) and V32=(1; 1) be the corresponding eigenvectors of a real 2×2 matrix R3 Given that P3=(V1 V2), which ONE of the following matrices represents P3-1 R3 P3?

A

(0 -1; 3 0)

B

(0 3; -1 0)

C

(3 0; 0 -1)

D

(-1 0; 0 3)


(d) is the correct answer.

Ques 20 GATE 2011

Which ONE of the following choices is a solution of the differential equation given below? dy/dx=y2/x+y/x-2/x Note: c is a real constant

A

y=(c-x2)/(c+2x2)

B

y=(c+2x2)/(c-x2)

C

y=(c-x3)/(c+2x3)

D

y=(c+2x3)/(c-x3)


(b) is the correct answer.

Ques 21 GATE 2011

The value of the improper integral ∫-∞∞ dx/(1+x2) is

A

-2π

B

0

C

π

D

2π


(c) is the correct answer.

Ques 22 GATE 2011

Fuel cell stacks are made of NINE membrane electrode assemblies (MEAs) interleaved between TEN bipolar plates (BPs) as illustrated below. The width of a membrane electrode assembly and a bipolar plate are normally distributed with μMEA=0.15 σMEA=0.01 and μBP=5 σBP=0.1 respectively. The widths of the different layers are independent of each other.

Which ONE of the following represents the CORRECT values of (μstack,σstack) for the overall fuel cell stack width?

A

(51.35, 0.32)

B

(51.35, 1.09)

C

(5.15, 0.10)

D

(5.15, 0.11)


(a) is the correct answer.

Ques 23 GATE 2011

In the fixed point iteration method for solving equations of the form x=g(x), the (n+1)th iteration value is xn+1=g(xn). where xn represents the nth iteration value. g(x) and corresponding initial guess value x0 in the domain of interest are shown in the following choices. Which ONE of these choices leads to a converged solution for x?

A

a

B

a

C

a

D

a


(d) is the correct answer.

Ques 24 GATE 2011

For a liquid flowing through a packed bed, the pressure drop per unit length of the bed ΔP / L is

Where: V̅0 is the superficial liquid velocity
ε is the bed porosity
dp is average particle size
ϕs is particle sphericity
ρf is liquid density
μf is liquid viscosity
When ‾V0 is 0.005 m/s and ε=0.5, which ONE of the following is the CORRECT value for the ratio of the viscous loss to the kinetic energy loss?

A

0.09

B

1.07

C

10.71

D

93


(c) is the correct answer.

Ques 25 GATE 2011

For a liquid flowing through a packed bed, the pressure drop per unit length of the bed ΔP / L is

Where: V̅0 is the superficial liquid velocity
ε is the bed porosity
dp is average particle size
ϕs is particle sphericity
ρf is liquid density
μf is liquid viscosity
On further increasing ‾V0 incipient fluidisation is achieved. Assuming that the porosity of the bed remains unaltered, the pressure drop per unit length (in Pa/m) under incipient fluidisation condition is

A

3675

B

7350

C

14700

D

73501


(b) is the correct answer.

Ques 26 GATE 2011

Consider the following two cases of movement of particles. In Case I, the particle moves along the positive y-direction and in Case II, the particle moves along negative y-direction. Gravity acts along the positive y-direction. Which ONE of the following options corresponds to the CORRECT directions of buoyancy acting on the particles?

A

Positive y-direction for both the cases

B

Negative y-direction for Case I, positive y-direction for Case II

C

Negative y-direction for both the cases

D

Positive y-direction for Case I, negative y-direction for Case II


(a) is the correct answer.

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