Chemical Engineering Gate Yearwise 


Chemical Engineering Gate 2012 Questions with Answer

Ques 14 GATE 2012

The final boiling points of gasoline, diesel, atmospheric gas oil (AGO) and lubricating oils vary as

A

gasoline > diesel > AGO > lubricating oils

B

lubricating oils > AGO > diesel > gasoline

C

AGO > lubricating oils > diesel > gasoline

D

lubricating oils > diesel > AGO > gasoline


(b) is the correct answer.

Ques 15 GATE 2012

The main unit processes used for the production of hydrogen from natural gas are steam reforming (SR), pressure swing adsorption (PSA), low temperature water gas shift reaction (LT WGS) and high temperature water gas shift reaction (HT WGS). The correct sequence of these in the plant is

A

SR; LT WGS; HT WGS; PSA

B

PSA; SR; LT WGS; HT WGS

C

SR; HT WGS; LT WGS; PSA

D

PSA; HT WGS; LT WGS; SR


(c) is the correct answer.

Ques 16 GATE 2012

Match the process in Group I with the catalyst in Group II
Group I
P. Fischer-Tropsch synthesis
Q. Formaldehyde from methanol
R. Hydrogenation of vegetable oils
S. Dehydrogenation of ethylbenzene
Group II
I. Nickel
II. Fe2O3
III. Silver
IV. Cobalt

A

P-III, Q-IV, R-I, S-II

B

P-IV, Q-II, R-I, S-III

C

P-IV, Q-III, R-I, S-II

D

P-III, Q-IV, R-II, S-I


(c) is the correct answer.

Ques 17 GATE 2012

Match the polymer in Group I to the polymer characteristic in Group II
Group I
P. Polyethylene
Q. Phenol-formaldehyde polymer
R. Polyisoprene
S. Polyester
Group II
I. Elastomer
II. Fiber
III. Thermoplastic
IV. Thermosetting polymer

A

P-III, Q-IV, R-I, S-II

B

P-IV, Q-II, R-III, S-I

C

P-III, Q-II, R-I, S-IV

D

P-IV, Q-III, R-I, S-II


(a) is the correct answer.

Ques 18 GATE 2012

Consider the following set of linear algebraic equations
x1+2x2+3x3=2
x2+x3=-1
2x2+2x3=0
The system has

A

a unique solution

B

no solution

C

an infinite number of solutions

D

only the trivial solution


(b) is the correct answer.

Ques 19 GATE 2012

If a and b are arbitrary constants, then the solution to the ordinary differential equation d2y/dx2-4y=0 is

A

y=ax+b

B

y=ae-x

C

y=asin2x+bcos2x

D

y=acosh2x+bsinh2x


(d) is the correct answer.

Ques 20 GATE 2012

For the function f(t)=e-t/τ, the Taylor series approximation for t<<τ is

A

1+t/τ

B

1-t/τ

C

1-t2/(2τ2)

D

1+t


(b) is the correct answer.

Ques 21 GATE 2012

A box containing 10 identical compartments has 6 red balls and 2 blue balls. If each compartment can hold only one ball, then the number of different possible arrangements are

A

1026

B

1062

C

1260

D

1620


(c) is the correct answer.

Ques 22 GATE 2012

Consider the following (2×2) matrix (4 0; 0 4). Which one of the following vectors is NOT a valid eigenvector of the above matrix ?

A

(1; 0)

B

(-2; 1)

C

(4; -3)

D

(0; 0)


(d) is the correct answer.

Ques 23 GATE 2012

If a is a constant, then the value of the integral a2∫0∞xe-axdx is

A

1/a

B

a

C

1

D

0


(c) is the correct answer.

Ques 24 GATE 2012

The Newton - Raphson method is used to find the roots of the equation f(x)=x-cos πx, 0≤x≤1. If the initial guess for the root is 0.5, then the value of x after the first iteration is

A

1.02

B

0.62

C

0.55

D

0.38


(d) is the correct answer.

Ques 25 GATE 2012

If i=√-1 the value of the integral ∮c(7z+i)/(z(z2+1))dz, |z|<2 using the Cauchy residue theorem is

A

2πi

B

0

C

-6π

D

6π


(b) is the correct answer.

Ques 26 GATE 2012

Water is flowing under laminar conditions in a pipe of length L. If the diameter of the pipe is doubled, for a constant volumetric flow rate, the pressure drop across the pipe

A

decreases 2 times

B

decreases 16 times

C

increases 2 times

D

increases 16 times


(b) is the correct answer.

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