Chemical Engineering- CH 2016 GATE Paper (Practice Test) - GATE MCQ

Fact: If it rains, then the field is wet.
Read the following statements:
(i) It rains
(ii) The field is not wet
(iii) The field is wet
(iv) It did not rain
Which one of the options given below is NOT logically possible, based on the given fact?

A window is made up of a square portion and an equilateral triangle portion above it. The base of
the triangular portion coincides with the upper side of the square. If the perimeter of the window
is 6 m, the area of the window in m² is

Q.No-6-10 Carry Two Marks Each

Q.

Students taking an exam are divided into two groups, P and Q such that each group has the same
number of students. The performance of each of the students in a test was evaluated out of 200
marks. It was observed that the mean of group P was 105, while that of group Q was 85. The
standard deviation of group P was 25, while that of group Q was 5. Assuming that the marks were
distributed on a normal distribution, which of the following statements will have the highest
probability of being TRUE?

A smart city integrates all modes of transport, uses clean energy and promotes sustainable use of
resources. It also uses technology to ensure safety and security of the city, something which
critics argue, will lead to a surveillance state.
Which of the following can be logically inferred from the above paragraph?
(i) All smart cities encourage the formation of surveillance states.
(ii) Surveillance is an integral part of a smart city.
(iii) Sustainability and surveillance go hand in hand in a smart city.
(iv) There is a perception that smart cities promote surveillance.

Find the missing sequence in the letter series.
B, FH, LNP, _ _ _ _.

The binary operation ? is defined as a ? b = ab+(a+b), where a and b are any two real numbers.
he value of the identity element of this operation, defined as the number x such that a ? x = a, for
any a, is______.

Which of the following curves represents the function 

Here, x represents the abscissa and ? represents the ordinate.

Q.No-11 - 35 Carry One Mark Each

Q.

Which one of the following is an iterative technique for solving a system of simultaneous linear
algebraic equations?

The Laplace transform of eat sin e^at sin(bt)  is

What are the modulus (r) and argument (q) of the complex number 3 + 4i?

A liquid mixture of ethanol and water is flowing as inlet stream P into a stream splitter. It is split
into two streams, Q and R, as shown in the figure below.

The flow rate of P, containing 30 mass% of ethanol, is 100kg/h. What is the least number of
additional specification(s) required to determine the mass flow rates and compositions (mass %)
of the two exit streams?

The partial molar enthalpy (in kJ/mol) of species 1 in a binary mixture is given
by   , where x₁ and x₂ are the mole fractions of species 1 and 2,  respectively. The partial molar enthalpy (in kJ/mol, rounded off to the first decimal place) of species 1 at infinite dilution is ________

Imp : you should answer only the numeric value

For a flow through a smooth pipe, the Fanning friction factor (f) is given by f =mRe^−0.2 in the
turbulent flow regime, where Re is the Reynolds number and m is a constant. Water flowing
through a section of this pipe with a velocity 1m/s results in a frictional pressure drop of 10kPa. What
will be the pressure drop across this section (in kPa), when the velocity of water is 2 m/s?

In a cyclone separator used for separation of solid particles from a dust laden gas, the separation factor is defined as the ratio of the centrifugal force to the gravitational force acting on the particle. Sr denotes the separation factor at a location (near the wall) that is at a radial distance r  from the centre of the cyclone. Which one of the following statements is INCORRECT?

A vertical cylindrical vessel has a layer of kerosene (of density 800 kg/m3) over a layer of water (of density 1000 kg/m3).L-shaped glass tubes are connected to the column 30 cm apart.  The  interface between the two layers lies between the two points at which the L - tube are connected. The levels (in cm) to which the liquids rise in the respective tubes are shown in the figure below.

The distance (x in cm, rounded off to the first decimal place) of the interface from the point at
which the lower L-tube is connected is _________________

Imp : you should answer only the numeric value

A composite wall is made of four different materials of construction in the fashion shown below.
The resistance (in K/W) of each of the sections of the wall is indicated in the diagram

The overall resistance (in K/W, rounded off to the first decimal place) of the composite  wall in the direction of heat flow, is___ 

Imp : you should answer only the numeric value

Steam at 100oC is condensing on a vertical steel plate. The condensate flow is laminar. The average Nusselt numbers are Nu1 and Nu2, when the plate temperatures are 10⁰  and 55^o C.respectively. Assume the physical properties of the fluid and steel to remain constant within the temperature range of interest. Using Nusselt equations for film-type condensation, what is the value of the ratio Nu₂/Nu₁ ? 

A binary liquid mixture of benzene and toluene contains 20 mol% of benzene. At 350 K the
vapour pressures of pure benzene and pure toluene are 92 kPa and 35 kPa, respectively. The
mixture follows Raoult’s law. The equilibrium vapour phase mole fraction (rounded off to
the second decimal place) of benzene in contact with this liquid mixture at 350 K is ________.

Imp : you should answer only the numeric value

Match the dimensionless numbers in Group-1 with the ratios in Group-2.

For what value of Lewis number, the wet-bulb temperature and adiabatic saturation temperature are nearly equal?

For a non-catalytic homogeneous reaction A→ B, the rate expression at 300 K is 

where C_A is the concentration of A (in mol/m³). Theoretically, the upper limit for the magnitude of the reactor rate (-r_A in mol m^-3s^-1, rounded off to the first decimal place ) at 30K is _______________

Imp : you should answer only the numeric value

The variations of the concentrations (C_A,C_R and C_s) for three species (A, R and S) with time, in an isothermal homogeneous batch reactor are shown in the figure below.

Select the reaction scheme that correctly represents the above plot. The numbers in the reaction
schemes shown below, represent the first order rate constants in unit of s^-1

Hydrogen iodide decomposes through the reaction 2HI ⇔ H₂ + I_2. The value of the universal gas constant R is 8.314 J mol^-1K^-1. The activation energy for the forward reaction is 184000 J mol^-1 The ratio (rounded off to the first decimal place) of the forward reaction rate at 600 K to that at 550 K is ______________

Imp : you should answer only the numeric value

Match the instruments in Group-1 with process variables in Group-2.

What is the order of response exhibited by a U-tube manometer?

A system exhibits inverse response for a unit step change in the input. Which one of the
following statement must necessarily be satisfied?

Two design options for a distillation system are being compared based on the total annual cost.
Information available is as follows:

The annual fixed charge amounts to 12% of the installed cost. Based on the above information,
what is the total annual cost (Rs in lakhs /year) of the better option?