Chemical Engineering- CH 2015 GATE Paper (Practice Test) - GATE MCQ

Choose the most appropriate word from the options given below to complete the following
sentence.
The principal presented the chief guest with a ____________, as token of appreciation.

Choose the appropriate word/phrase, out of the four options given below, to complete the
following sentence:
Frogs ____________________.

Q.No-6-10 Carry Two Mark Each

Q

A cube of side 3 units is formed using a set of smaller cubes of side 1 unit. Find the proportion of
the number of faces of the smaller cubes visible to those which are NOT visible.

Fill in the missing value

Imp : you should answer only the numeric value

Humpty Dumpty sits on a wall every day while having lunch. The wall sometimes breaks. A
person sitting on the wall falls if the wall breaks.
Which one of the statements below is logically valid and can be inferred from the above
sentences?

The following question presents a sentence, part of which is underlined. Beneath the sentence you find four ways of phrasing the underlined part. Following the requirements of the standard written English, select the answer that produces the most effective sentence.
Tuberculosis, together with its effects, "ranks one of the leading causes of death" in India.

Read the following paragraph and choose the correct statement.
Climate change has reduced human security and threatened human well being. An ignored reality
of human progress is that human security largely depends upon environmental security. But on
the contrary, human progress seems contradictory to environmental security. To keep up both at
the required level is a challenge to be addressed by one and all. One of the ways to curb the
climate change may be suitable scientific innovations, while the other may be the Gandhian
perspective on small scale progress with focus on sustainability.

Q.No-11-35 Carry One Mark Each

Benzene is removed from air by absorbing it in a non-volatile wash-oil at 100kPa in a countercurrent
gas absorber. Gas flow rate is 100 mol/min, which includes 2 mol/min of benzene. The
flow rate of wash-oil is 50 mol/min.Vapour pressure of benzene at the column conditions is 50
kPa. Benzene forms an ideal solution with the wash-oil and the column is operating at steady
state. Gas phase can be assumed to follow ideal gas law. Neglect the change in molar flow rates
of liquid and gas phases inside the column.’
For this process, the value of the absorption factor (upto two decimal places) is _________.

Imp : you should answer only the numeric value

The following set of three vectors

is linearly dependent when x is equal to

For which reaction order, the half-life of the reactant is half of the full lifetime (time for 100%
conversion) of the reactant?

Match the output signals as obtained from four measuring devices in response to a unit step
change in the input signal.
Output signal time

P: Gas chromatograph, with a long capillary tube
Q : Venturi tube
R : Thermocouple with first order dynamics
S : Pressure transducer with second order dynamics

Match the chemicals written on the left with the raw materials required to produce them
mentioned on the right.

For the matrix is an eigenvector, the corresponding eigenvalue is _______.

The transfer function for the disturbance response in an open-loop process is given by  
The corresponding transfer function for the disturbance response in closed-loop feedback control
system with proportional controller is given by  . Select the option that is Always correct
{O [G(S)]  represents order of transfer function G(s)};

If v,u, s and g represent respectively the molar volume, molar internal energy, molar entropy and
molar Gibbs free energy, then match the entries in the left and right columns below and choose
the correct option.

Two different liquids are flowing through different pipes of the same diameter. In the first pipe,
the flow is laminar with centerline velocity, V_max.1 , Whereas in the second pipe, the flow is
turbulent. For turbulent flow, the average velocity is 0.82 times the centerline velocity, max.2 V .
For equal volumetric flow rates in both the pipes, the ratio  V_max.1/ V_max.2 (up to two decimal
places) is ______.

Imp : you should answer only the numeric value

Consider linear ordinary differential equation  Functions p(x) and r( x) are defined and have a continuous first derivative. The integrating factor of this equation is non-zero.
Multiplying this equation by its integrating factor converts this into a:

A spherical naphthalene ball of 2mm diameter is subliming very slowly in stagnant air at 25^OC.
The change in the size of the ball during the sublimation can be neglected. The diffusivity of
naphthalene in air at 25^o C is 1.1×10^-6 m²/s.
The value of mass transfer coefficient is B × 10^-3 m/s, where B (up to one decimal place) is

Imp : you should answer only the numeric value

An irreversible, homogeneous reaction A→ products, has the rate expression:

 where C_A is the concentration of A.

C_A varies in the range 0.5 – 50 mol/m³.
For very high concentration of A, the reaction order tends to:

scalar function in the xy-plane is given by are unit vectors in the x
and y directions, the direction of maximum increase in the value of φ at (1,1) is along:

For a gas phase cracking reaction A®B+C at 300^oC, the Gibbs free energy of the reaction at
this temperature is ΔG^o = −2750J mol. The pressure is 1 bar and the gas phase can be assumed
to be ideal. The universal gas constant R = 8.314J/mol. K. The fractional molar conversion of A
at equilibrium is:

Two infinitely large parallel plates (I and II) are held at temperatures T_I and T_II ( T_I > T_II)
respectively, and placed at a distance 2d apart in vacuum. An infinitely large flat radiation shield
(III) is placed in parallel in between I and II. The emissivities of all the plates are equal. The ratio
of the steady state radiative heat fluxes with and without the shield is:

A cylindrical packed bed of height 1 m is filled with equal sized spherical particles. The particles
are nonporous and have a density of 1500 kg/m³. The void fraction of the bed is 0.45. The bed is
fluidized using air (density 1kg/m³). If the acceleration due to gravity is 9.8m/s², the pressure drop
(in pa) across the bed at incipient fluidization (up to one decimal place ) is _________.

For a pure liquid, the rate of change of vapour pressure with temperature is 0.1 bar/K in the
temperature range of 300 to 350 K. if the boiling point of the liquid at 2 bar is 320 K, the
temperature (in K) at which it will boil at 1 bar (up to one decimal place) is ___________.

Imp : you should answer only the numeric value

For uniform laminar flow over a flat plate, the thickness of the boundary layer, δ, at a distance x
from the leading edge of the plate follows the relation:

Match the polymer mentioned on the left with the catalyst used for it manufacture given on the
right.

Three identical closed systems of a pure gas are taken from an initial temperature and pressure
( T_L , P₁) to a final state ( T₂  P₂) , each by a different path. Which of the following in Always true
for the three systems? ( Δ represents the change between the initial and final states: U, S, G, Q
and W are internal energy, entropy, Gibbs free energy, heat added and work done, respectively.)