GATE CH kind:question PYQs & Answers — Page 15

Questions 141–150 of 650. Imported answers require independent review unless marked reviewed.

The first non-zero term in the Taylor series expansion of

about

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−1

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Consider the normal probability distribution function

and

are the mean and standard deviation of

respectively, then the ordered pair

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and

, where

, then

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A homogeneous azeotropic distillation process separates an azeotropic AB binary feed using a heavy entrainer, E, as shown in the figure. The loss of E in the two product streams is negligible so that E circulates around the process in a closed-circuit. For a distillation column with fully specified feed(s), given operating pressure, a single distillate stream and a single bottoms stream, the steady-state degrees of freedom equals 2. For the process in the figure with a fully specified AB feed stream and given column operating pressures, the steady-state degree of freedom equals

Diagram for Chemical Engineering question 14

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An infinitely long cylindrical water filament of radius

is surrounded by air. Assume water and air to be static. The pressure outside the filament is

and the pressure inside is

. If

is the surface tension of the water-air interface, then

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The velocity field in an incompressible flow is

, where

and

are unit-vectors in the

Cartesian coordinate system. Given that

and

are constants, and

, the correct expression for

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Consider the steady, uni-directional diffusion of a binary mixture of A and B across a vertical slab of dimensions 0.2 m × 0.1 m × 0.02 m as shown in the figure. The total molar concentration of A and B is constant at 100 mol m

. The mole fraction of A on the left and right faces of the slab are maintained at 0.8 and 0.2, respectively. If the binary diffusion coefficient

, the molar flow rate of A in mol s

, along the horizontal

direction is

Diagram for Chemical Engineering question 17

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Consider a vapour-liquid mixture of components A and B that obeys Raoult’s law. The vapour pressure of A is half that of B. The vapour phase concentrations of A and B are 3 mol m

and 6 mol m

, respectively. At equilibrium, the ratio of the liquid phase concentration of A to that of B is

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1.0

0.5

2.0

1.5

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The ratio of the activation energy of a chemical reaction to the universal gas constant is 1000 K. The temperature-dependence of the reaction rate constant follows the collision theory. The ratio of the rate constant at 600 K to that at 400 K is

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2.818

4.323

1.502

1.000

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The rate of a reaction

is 0.2 mol m

at a particular concentration

. The rate constant of the reaction at a given temperature is 0.1 m

mol

. If the reactant concentration is increased to

at the same temperature, the reaction rate, in mol m

, is

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100

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GATE CH kind:question PYQs

Question 11

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