Chemical Engineering- CH 2014 GATE Paper (Practice Test) - GATE MCQ

If y = 5x² + 3, then the tangent at x = 0, y = 3

A foundry has a fixed daily cost of Rs 50,000 whenever it operates and a variable cost of Rs
800Q, where Q is the daily production in tonnes. What is the cost of production in Rs per
tonne for a daily production of 100 tonnes?

Find the odd one in the following group: ALRVX, EPVZB, ITZDF, OYEIK

Anuj, Bhola, Chandan, Dilip, Eswar and Faisal live on different floors in a six-storeyed
building (the ground floor is numbered 1, the floor above it 2, and so on). Anuj lives on an
even-numbered floor. Bhola does not live on an odd numbered floor. Chandan does not live
on any of the floors below Faisal’s floor. Dilip does not live on floor number 2. Eswar does
not live on a floor immediately above or immediately below Bhola. Faisal lives three floors
above Dilip. Which of the following floor-person combinations is correct?

The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral.
The ratio between the angles of the quadrilateral is 3:4:5:6. The largest angle of the triangle is
twice its smallest angle. What is the sum, in degrees, of the second largest angle of the
triangle and the largest angle of the quadrilateral?

One percent of the people of country X are taller than 6 ft. Two percent of the people of
country Y are taller than 6 ft. There are thrice as many people in country X as in country Y.
Taking both countries together, what is the percentage of people taller than 6 ft?

The monthly rainfall chart based on 50 years of rainfall in Agra is shown in the following
figure. Which of the following are true? (k percentile is the value such that k percent of the
data fall below that value)

(i) On average, it rains more in July than in December
(ii) Every year, the amount of rainfall in August is more than that in January
(iii) July rainfall can be estimated with better confidence than February rainfall
(iv) In August, there is at least 500 mm of rainfall

Q.No-11-35 Carry One Mark Each

Q.

Gradient of a scalar variable is always

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

If f*(x) is the complex conjugate of f(x) = cos(x) + i sin(x), then for real a and b, 

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

From the following list, identify the properties which are equal in both vapour and
liquid phases at equilibrium
P. Density                                         Temperature
R. Chemical potential                    S. Enthalpy

In a closed system, the isentropic expansion of an ideal gas with constant specific heats is
represented by

Match the following :

In order to achieve the same conversion under identical reaction conditions and feed flow rate
for a non-autocatalytic reaction of positive order, the volume of an ideal CSTR is

Integral of the time-weighted absolute error (ITAE) is expressed as

A unit IMPULSE response of a first order system with time constant and steady
state gain K_p is given by

In a completely opaque medium, if 50% of the incident monochromatic radiation is absorbed,
then which of the following statements are CORRECT?
(P) 50% of the incident radiation is reflected
(Q) 25% of the incident radiation is reflected
(R) 25% of the incident radiation is transmitted
(S) No incident radiation is transmitted

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

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

Assume that an ordinary mercury-in-glass thermometer follows first order dynamics with a
time constant of 10s. It is at a steady state temperature of 0°C. At time t = 0, the thermometer
is suddenly immersed in a constant temperature bath at 100°C. The time required (in s) for
the thermometer to read 95°C, approximately is

Packed towers are preferred for gas-liquid mass transfer operations with foaming liquids
because

A spherical storage vessel is quarter–filled with toluene. The diameter of the vent at the top of
the vessel is 1/20th of the diameter of the vessel. Under the steady state condition, the
diffusive flux of toluene is maximum at

In order to produce fine solid particles between 5 and 10 μm, the appropriate size reducing
equipment is

Slurries are most conveniently pumped by a

Assuming the mass transfer coefficients in the gas and the liquid phases are comparable, the
absorption of CO₂ from reformer gas (CO₂+H₂) into an aqueous solution of diethanolamine is
controlled by

Which ONE of the following statements is CORRECT for the surface renewal theory?