GATE CH 2020 Paper 1 — page 20

Complete GATE CH 2020 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 58–60 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 20 of 22

Consider a vertically falling film of water over an impermeable wall. The film is in contact with a static pool of non-reactive pure gas. The gas diffuses into the water film over the entire height of the falling film. The height of the film is 1.0 m, and its thickness is

m. The velocity of water, averaged over the film thickness, is 0.01 m s

. The gas concentration (in kg m

), averaged over the film thickness is

where

is the vertical position in meters measured from the top of the wall.

In addition, use the following data and assumptions:

The flow is fully developed

The width of the film is much larger than the thickness of the film, and the dissolved gas concentration is invariant over this width

The solubility of the gas in water,

, is constant

Pure water enters at

The evaporation of water is negligible

The mass transfer coefficient on the liquid side (in mm s

), averaged over the entire height of the falling film is ________ (round off to 3 decimal places).

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An exothermic, aqueous phase, irreversible, first order reaction,

is carried out in an ideal continuous stirred tank reactor (CSTR) operated adiabatically at steady state. Rate of consumption of Y (in mol liter

minute

) is given by

where

is the concentration of Y (in mol liter

), and

is the temperature of the reaction mixture (in K). Reactant Y is fed at 50 °C. Its inlet concentration is 1.0 mol liter

, and its volumetric flow rate is 1.0 liter minute

In addition, use the following data and assumptions:

Heat of the reaction = −4200 J mol

Specific heat capacity of the reaction mixture = 4.2 J g

Density of the reaction mixture = 1000 g liter

Heat of the reaction, specific heat capacity and density of the reaction mixture do not vary with temperature

Shaft work is negligible

If the conversion of Y at the exit of the reactor is 90%, the volume of the CSTR (in liter) is ________ (round off to 2 decimal places).

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The liquid phase irreversible reactions,

and

, are carried out in an ideal continuous stirred tank reactor (CSTR) operating isothermally at steady state. The space time of the CSTR is 1 minute. Both the reactions are first order with respect to the reactant P, and

and

denote the rate constants of the two reactions. At the exit of the reactor, the conversion of reactant P is 60%, and the selectivity of Q with respect to R is 50%. The value of the first order rate constant

(in minute

) is ________ (correct up to one decimal place).

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2020 · Paper 1

Question 48

Question 49

Question 50