Chemical Engineering Gate Yearwise 


Chemical Engineering Gate 2014 Questions with Answer

Ques 14 GATE 2014

Determine the correctness or otherwise of the following Assertion [a] and Reason [r].
Assertion: Significant combustion of coke takes place only if it is heated at higher temperature in presence of air.
Reason: C+O2→CO2 is an exothermic reaction.

A

Both [a] and [r] are true and [r] is the correct reason for [a]

B

Both [a] and [r] are true but [r] is not the correct reason for [a]

C

[a] is correct but [r] is false

D

Both [a] and [r] are false


(b) is the correct answer.

Ques 15 GATE 2014

Match the raw materials of Groups 1 and 2 with the final products of Group 3

A

P1+Q2→R3; P2+Q1→R4 P3+Q4→R2; P4+Q3→R1

B

P1+Q1→R3; P2+Q3→R1 P3+Q4→R4; P4+Q2→R2

C

P1+Q2→R2; P2+Q3→R1; P3+Q4→R3; P4+Q1→R4

D

P1+Q1→R4; P2+Q2→R3; P3+Q4→R2; P4+Q3→R1


(a) is the correct answer.

Ques 16 GATE 2014

Gradient of a scalar variable is always

A

a vector

B

a scalar

C

a dot product

D

zero


(a) is the correct answer.

Ques 17 GATE 2014

For the time domain function f(t)=t2 which ONE of the following is the Laplace transform of ∫f(t)dt?

A

3/s4

B

1/(4s2)

C

2/s3

D

2/s4


(d) is the correct answer.

Ques 18 GATE 2014

If f*(x) is the complex conjugate of f(x)=cos(x)+isin(x), then for real a and b, ∫abf*(x)f(x)dx is ALWAYS

A

positive

B

negative

C

real

D

imaginary


(c) is the correct answer.

Ques 19 GATE 2014

If f(x) is a real and continuous function of x, the Taylor series expansion of f(x) about its minima will NEVER have a term containing

A

first derivative

B

second derivative

C

third derivative

D

any higher derivative


(a) is the correct answer.

Ques 20 GATE 2014

Consider the following differential equation dy/dx=x+ln(y); y=2 at x=0
The solution of this equation at x=0.4 using Euler method with a step size of h=0.2 is


(2.35) is the correct answer.

Ques 21 GATE 2014

The integrating factor for the differential equation dy/dx - y/(1+x) = (1+x) is

A

1/(1+x)

B

(1+x)

C

x(1+x)

D

x/(1+x)


(a) is the correct answer.

Ques 22 GATE 2014

The differential equation d2y/dx2+x2dy/dx+x3y=ex is a

A

non-linear differential equation of first degree

B

linear differential equation of first degree

C

linear differential equation of second degree

D

non-linear differential equation of second degree


(b) is the correct answer.

Ques 23 GATE 2014

Consider the following two normal distributions
f1(x)=exp(-πx2)
f2(x)=1/(2π)exp{-1/(4π)(x2+2x+1)}
If μ and σ denote the mean and standard deviation, respectively, then

A

μ1<μ2 and σ12<σ22

B

μ1>μ2 and σ12>σ22

C

μ1>μ2 and σ12<σ22

D

μ1<μ2 and σ12>σ22


(c) is the correct answer.

Ques 24 GATE 2014

In rolling of two fair dice, the outcome of an experiment is considered to be the sum of the numbers appearing on the dice. The probability is highest for the outcome of


(7) is the correct answer.

Ques 25 GATE 2014

In case of a pressure driven laminar flow of a Newtonian fluid of viscosity (μ) through a horizontal circular pipe, the velocity of the fluid is proportional to

A

μ

B

μ0.5

C

μ-1

D

μ-0.5


(c) is the correct answer.

Ques 26 GATE 2014

Which of the following statements are CORRECT?
P. For a rheopectic fluid, the apparent viscosity increases with time under a constant applied shear stress
Q. For a pseudoplastic fluid, the apparent viscosity decreases with time under a constant applied shear stress
R. For a Bingham plastic, the apparent viscosity increases exponentially with the deformation rate
S. For a dilatant fluid, the apparent viscosity increases with increasing deformation rate

A

P and Q only

B

Q and R only

C

R and S only

D

P and S only


(d) is the correct answer.

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