GATE CH discipline:chemical-engineering PYQs & Answers — Page 31

Questions 301–310 of 650. Imported answers require independent review unless marked reviewed.

Two large parallel plane walls are maintained at 1000 K and 500 K. Parallel radiation shields are to be installed between the two walls. Assume that the emissivities of the walls and the shields are equal. If the melting temperature of the shields is 900 K, the maximum number of shield(s) that can be installed between the walls is (are)

Your answerChoose one option.

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Saturated steam condenses on a vertical plate maintained at a constant wall temperature. If

is the vertical distance from the top edge of the plate, then the local heat transfer coefficient

, where

is the local mass flow rate of the condensate per unit plate width. The ratio of the average heat transfer coefficient over the entire plate to the heat transfer coefficient at the bottom of the plate is

Your answerChoose one option.

4/3

3/4

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Match the product in Group-1 with the manufacturing process in Group-2. The correct combination is

Group-1		Group-2
P	Nitric acid	I	Tona process
Q	Phosphoric acid	II	Twitchell process
R	Potassium chloride	III	Ostwald’s process
S	Stearic acid	IV	Haifa process

Your answerChoose one option.

P-III, Q-I, R-IV, S-II

P-IV, Q-I, R-II, S-III

P-III, Q-IV, R-I, S-II

P-I, Q-IV, R-II, S-III

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The directional derivative of

at the point

in the direction of the vector

is __________ (rounded off to two decimal places).

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Consider a sphere of radius 4, centered at the origin, with outward unit normal

on its surface

. The value of the surface integral

is __________ (rounded off to one decimal place).

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The equation

with the initial condition

is to be solved using a predictor-corrector approach. Use a predictor based on the implicit Euler’s method and a corrector based on the trapezoidal rule of integration, each with a full-step size of 0.5. Considering only positive values of

, the value of

is __________ (rounded off to three decimal places).

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A substance at 4 °C has a thermal expansion coefficient

, an isothermal compressibility,

and a molar volume

mol

. If

is the molar entropy, then at 4 °C, the quantity

evaluated for the substance is __________ J mol

(rounded off to the nearest integer).

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The molar excess Gibbs free energy (

) of a liquid mixture of

and

is given by

where

and

are the mole fraction of

and

, respectively, the universal gas constant,

J K

mol

is the temperature in K, and

are temperature-dependent parameters. At 300 K,

and

. If

and

are the activity coefficients of

and

, respectively, the value of

at 300 K and 1 bar is __________ (rounded off to the nearest integer).

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For a pure substance, the following data at saturated conditions are given:

ln (bar)	(K)
0.693	350
1.386	370

Assume that the vapor phase behaves ideally, the molar volume of the liquid is negligible, and the latent heat of vaporization is constant over the given temperature range. The universal gas constant,

J K

mol

. From the above data, the estimated latent heat of vaporization at 360 K is __________ kJ/mol (rounded off to one decimal place).

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Consider the process flowsheet in the figure. An irreversible liquid-phase reaction

(reaction rate

kmol m

) occurs in a 1 m

continuous stirred tank reactor (CSTR), where

is the mole fraction of A. A small amount of inert,

, is added to the reactor. The reactor effluent is separated in a perfect splitter to recover pure

product down the bottoms and a B-free distillate. A fraction of the distillate is purged and the rest is recycled back to the reactor. At a particular steady state, the product rate is 100 kmol h

, the recycle rate is 200 kmol h

and the purge rate is 10 kmol h

. Given the above information, the inert feed rate into the process is __________ kmol h

(rounded off to two decimal places).

Diagram for Chemical Engineering question 50

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GATE CH discipline:chemical-engineering PYQs

Question 41

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Question 50