Chemical Engineering- CH 2012 GATE Paper (Practice Test) - GATE MCQ

C hoose the most appropriate alternative from the options given below to complete the following
sentence:
Suresh’s dog is the one ––––––––– was hurt in the stampede

C hoose the grammatically INCORRECT sentence:

Q. 6 - Q. 10 carry two marks each.

Q.

A n automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies
60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test.
The ones that pass the quality test are considered reliable. Of X’s shock absorbers, 96% are reliable.
Of Y’s shock absorbers, 72% are reliable.
The probability that a randomly chosen shock absorber, which is found to be reliable, is made by
Y is

A political party orders an arch for the entrance to the ground in which the annual convention is
being held. The profile of the arch follows the equation y = 2x – 0.1x² where y is the height of the
arch in meters. The maximum possible height of the arch is

W anted Temporary, Part-time persons for the post of Field Interviewer to conduct personal
interviews to collect and collate economic data. Requirements: High School-pass, must be
available for Day, Evening and Saturday work. Transportation paid, expenses reimbursed.

Which one of the following is the best inference from the above advertisement?

G iven the sequence of terms, AD CG FK JP, the next term is

W hich of the following assertions are CORRECT?

P: Adding 7 to each entry in a list adds 7 to the mean of the list
Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list
R: Doubling each entry in a list doubles the mean of the list
S: Doubling each entry in a list leaves the standard deviation of the list unchanged

Q. 11 – Q. 35 carry one mark each.

Q.

Consider the following set of linear algebraic equations

The system has

If a and b are arbitrary constants, then the solution to the ordinary differential equation

is

F or the function the Taylor series approximation for  is.

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

C onsider the following (2 x 2) matrix

Which one of the following vectors is NOT a valid eigenvector of the above matrix ?

In a throttling process, the pressure of an ideal gas reduces by 50 %. If C_P and C_V are the heat
capacities at constant pressure and constant volume, respectively  the specific
volume will change by a factor of

I f the temperature of saturated water is increased infinitesimally at constant entropy, the resulting
state of water will be

In a parallel flow heat exchanger operating under steady state, hot liquid enters at a temperature
T_h,in and leaves at a temperature T_h,out . Cold liquid enters at a temperature T_c,in and leaves at a
temperature T_c,out . Neglect any heat loss from the heat exchanger to the surrounding. If
T_h,in >> T_c,in , then for a given time interval, which ONE of the following statements is true?

F or an exothermic reversible reaction, which one of the following correctly describes the
dependence of the equilibrium constant ( K ) with temperature (T ) and pressure ( P ) ?

W ater 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

The local velocity of a fluid along a streamline can be measured by

F or uniform laminar flow (in the x -direction) past a flat plate at high Reynolds number, the local
boundary layer thickness (δ ) varies with the distance along the plate ( x ) as

I n a mixing tank operating at very high Reynolds number (> 10⁴ ), if the diameter of the impeller is
doubled (other conditions remaining constant), the power required increases by a factor of

F or heat transfer across a solid-fluid interface, which one of the following statements is NOT true
when the Biot number is very small compared to 1?

A solid sphere with an initial temperature T_i is immersed in a large thermal reservoir of
temperature T_o . The sphere reaches a steady temperature after a certain time t₁ . If the radius of the
sphere is doubled, the time required to reach steady-state will be

I f the Nusselt number ( Nu ) for heat transfer in a pipe varies with Reynolds number (Re ) as 

then for constant average velocity in the pipe, the heat transfer coefficient varies with
the pipe diameter D as

I n the McCabe-Thiele diagram, if the x -coordinate of the point of intersection of the q -line and
the vapor-liquid equilibrium curve is greater than the x -coordinate of the feed point, then the
quality of the feed is

F or which of the following combinations, does the absorption operation become gas-film
controlled?
P. The solubility of gas in the liquid is very high
Q. The solubility of gas in the liquid is very low
R. The liquid-side mass transfer coefficient is much higher than the gas-side mass transfer
coefficient
S. The liquid-side mass transfer coefficient is much lower than the gas-side mass transfer
coefficient

The half-life of an nth order reaction in a batch reactor depends on

C onsider the reaction scheme shown below

Both the reactions are first-order. The activation energies for k₁ and k₂  are 80 and 20 kJ/mol,
respectively. To maximize the yield of B, it is preferable to use