GATE CH year:2019 PYQs & Answers — Page 5

Questions 41–50 of 65. Imported answers require independent review unless marked reviewed.

Choose the option that correctly matches the step response curves on the left with the appropriate transfer functions on the right. The step input change occurs at time

Diagram for Chemical Engineering question 31

Your answerChoose one option.

P – II, Q – IV; R – II, S – I

P – III, Q – I; R – IV, S – II

P – IV, Q – III; R – II, S – I

P – III, Q – II; R – IV, S – I

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100 kg of a feed containing 50 wt.% of a solute C is contacted with 80 kg of a solvent containing 0.5 wt.% of C in a mixer-settler unit. From this operation, the resultant extract and raffinate phases contain 40 wt.% and 20 wt.% of C, respectively. If E and R denote the mass of the extract and raffinate phases, respectively, the ratio E/R is

Your answerChoose one option.

1/4

1/2

2/3

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The combination that correctly matches the process in Group-1 with the entries in Group-2 is

Group-1 P) Wulf process Q) Sulfite process R) Solvay process S) Frasch process

Group-2 I) Sulfur mining II) Soda ash production III) Acetylene production IV) Pulp production

Your answerChoose one option.

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

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

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

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

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and

are directions in a Cartesian coordinate system and

and

are the respective unit vectors, the directional derivative of the function

at the point

in the direction

is __________ (rounded off to two decimal places).

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Two unbiased dice are thrown. Each dice can show any number between 1 and 6. The probability that the sum of the outcomes of the two dice is divisible by 4 is__________ (rounded off to two decimal places).

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The Newton-Raphson method is used to determine the root of the equation

. If the initial guess for the root is 0, the estimate of the root after two iterations is ________ (rounded off to three decimal places).

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Carbon monoxide (CO) reacts with hydrogen sulfide (H₂S) at a constant temperature of 800 K and a constant pressure of 2 bar as:

The Gibbs free energy of the reaction

J/mol and universal gas constant

J/(mol K). Both the reactants and products can be assumed to be ideal gases. If initially only 4 mol of H₂S and 1 mol of CO are present, the extent of the reaction (in mol) at equilibrium is ________ (rounded off to two decimal places).

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For a given binary system at constant temperature and pressure, the molar volume (in m³/mol) is given by:

, where

and

are the mole fractions of components A and B, respectively. The volume change of mixing

(in m³/mol) at

is ________ (rounded off to one decimal place).

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Consider a vessel containing steam at 180 °C. The initial steam quality is 0.5 and the initial volume of the vessel is 1 m³. The vessel loses heat at a constant rate

under isobaric conditions so that the quality of steam reduces to 0.1 after 10 hours. The thermodynamic properties of water at 180 °C are (subscript

: vapor phase; subscript

: liquid phase): specific volume:

m³/kg,

m³/kg; specific internal energy:

kJ/kg,

kJ/kg; specific enthalpy:

kJ/kg,

kJ/kg. The rate of heat loss

(in kJ/hour) is __________ (rounded off to the nearest integer).

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A fractionator recovers 95 mol % n-propane as the distillate from an equimolar mixture of n-propane and n-butane. The condensate is a saturated liquid at 55 °C. The Antoine equation is of the form,

, and the constants are provided below:

Component	A	B	C
n-propane	9.1058	1872.46	−25.16
n-butane	9.0580	2154.90	−34.42

Assuming Raoult’s law, the condenser pressure (in bar) is __________ (rounded off to one decimal place).

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GATE CH year:2019 PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40