Chemical Engineering Gate Yearwise 


Chemical Engineering GATE 2025 Questions with Answer

Ques 14 Chemical Technology

In the CONTACT PROCESS for manufacturing sulphuric acid, the reaction converting SO2 to SO3 is

A

Exothermic and reversible

B

Endothermic and reversible

C

Exothermic and irreversible

D

Endothermic and irreversible


Ques 15 Engineering Mathematics

Consider a Cartesian coordinate system defined over a 3-dimensional vector space with orthogonal unit basis vectors î, ĵ and k̂. Let vector a=√2î + (1/√2)ĵ + k̂, and vector b=(1/√2)î + √2ĵ - k̂. The inner product of these vectors (a ⋅ b) is

A

0

B

1

C

-1

D

2


Ques 16 Engineering Mathematics

Consider two complex numbers z1=1-i and z2=i. The argument of z1z2 is

A

0

B

π/4

C

π/2

D

π


Ques 17 Engineering Mathematics

A box contains 3 identical green balls and 7 identical blue balls. Two balls are randomly drawn without replacement from the box. The probability of drawing 1 green and 1 blue ball is

A

(3P1×7P1)/(10P2)

B

(10P3×10P7)/(10P2)

C

10C3×10C7 / 10C2

D

(3C1×7C1)/10C2


Ques 18 Engineering Mathematics

Consider a Cartesian coordinate system with orthogonal unit basis vectors î, ĵ defined over a domain: x,y∈[0,1]. Choose the condition for which the divergence of the vector field v=ax î - by ĵ is zero.

A

a-b=0

B

a

C

a>b

D

a+b=0


Ques 19 Engineering Mathematics

Consider a Cartesian coordinate system with orthogonal unit basis vectors î, ĵ defined over a domain: x,y∈[0,1]. Choose the condition for which the divergence of the vector field v=ax î - by ĵ is zero.

A

a-b=0

B

a

C

a>b

D

a+b=0


Ques 20 Engineering Mathematics

A probability distribution function is given as

where a is a positive constant. For a function f(x)=x2, the expectation of f(x) is

A

a2/3

B

a3/3

C

2a2/3

D

2a3/3


Ques 21 Engineering Mathematics

Consider the differential equation
dy/dx + y/x = 0
Choose the CORRECT option(s) for the solution y.

A

y=x+c; c is a constant

B

y=c/x; c is a constant

C

y=-x+c; c is a constant

D

y=0


Ques 22 Engineering Mathematics

Consider the matrix

The eigenvalues of the matrix are 0.27 and ______ (rounded off to 2 decimal places).


Ques 23 Engineering Mathematics

The Newton-Raphson method is used to find the root of f(x) ≡ x2-x-1=0.
Starting with an initial guess x(0)=1, the second iterate x(2) is ______ (rounded off to 2 decimal places).


Ques 24 Fluid Mechanics

The sum of the components of the force due to pressure and shear at the solid-fluid boundary of a solid body in the direction normal to the flow is

A

Drag

B

Friction

C

Lift

D

Buoyancy


Ques 25 Fluid Mechanics

Choose the CORRECT option for pathlines, streaklines and streamlines for a STEADY flow field.

A

All three lines are identical

B

Only pathlines and streaklines are identical

C

Only pathlines and streamlines are identical

D

Only streamlines and streaklines are identical


Ques 26 Fluid Mechanics

A catalyst particle is modeled as a symmetrical double cone solid as shown in the figure. For each conical sub-part, the radius of the base is r and the height is h. The sphericity of the particle is given by

A

2((r2h)/2)1/3 / (r√(r2+h2))

B

((r2h)/2)1/3 / (r√(r2+h2))

C

2((r2h)/2)2/3 / (r√(r2+h2))

D

((r2h)/2)2/3 / (r√(r2+h2))


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