GATE CH topic:chemical-processes PYQs & Answers — Page 43

Questions 421–430 of 650. Imported answers require independent review unless marked reviewed.

An irreversible gas phase reaction

is conducted in an isothermal and isobaric batch reactor. Assume ideal gas behavior. The feed is an equimolar mixture of the reactant P and an inert gas. After complete conversion of P, the fractional change in volume is ________ (round off to 2 decimal places).

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Consider two Carnot engines C₁ and C₂ as shown in the figure.

The efficiencies of the engines C₁ and C₂ are 0.40 and 0.35, respectively. If the temperature of Reservoir R₁ is 800 K, then the temperature (in K) of Reservoir R₃ is ________ (round off to nearest integer).

Diagram for Chemical Engineering question 22

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Consider the following closed loop system with

and

as the transfer functions of the process and the controller, respectively.

For a unit step change in the set point (

), the change in the value of the response (

) at steady state is ________ (round off to 1 decimal place).

Diagram for Chemical Engineering question 23

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The decomposition of acetaldehyde (X) to methane and carbon monoxide follows four-step free radical mechanism. The overall rate of decomposition of X is

where,

, and

denote the rate constants of the elementary steps, with corresponding activation energies (in kJ mol⁻¹) of 320, 40, and 0, respectively. The temperature dependency of the rate constants is described by Arrhenius equation.

denotes the concentration of acetaldehyde. The rate constant for the overall reaction is

. The activation energy for the overall reaction (in kJ mol⁻¹) is ________ (round off to nearest integer).

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Sum of the eigenvalues of the matrix

is ________ (round off to nearest integer).

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In a box, there are 5 green balls and 10 blue balls. A person picks 6 balls randomly. The probability that the person has picked 4 green balls and 2 blue balls is

Your answerChoose one option.

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The maximum value of the function

in the interval

Your answerChoose one option.

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SO₂ from air is absorbed by pure water in a counter current packed column operating at constant pressure. The compositions and the flow rates of the streams are shown in the figure.

Diagram for Chemical Engineering question 28

In addition, use the following data and assumptions • Column operates under isothermal conditions • At the operating temperature of the column,

, where

is the mole fraction of SO₂ in the gas that is in equilibrium with water containing SO₂ at a mole fraction of

• Solution is dilute and the operating line is linear • Negligible amount of water evaporates

The number of transfer units (NTU) for this column is

Your answerChoose one option.

0.5

1.0

1.5

2.0

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Two film theory applies for absorption of a solute from a gas mixture into a liquid solvent. The interfacial mass transfer coefficient (in mol m⁻² s⁻¹) for the gas side is 0.1 and for the liquid side is 3. The equilibrium relationship is

, where

and

are mole fractions of the solute in the liquid and gas phases, respectively. The ratio of the mass transfer resistance in the liquid film to the overall resistance is

Your answerChoose one option.

0.0161

0.032

0.0625

0.0645

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Consider the equilibrium data for methanol-water system at 1 bar given in the figure below.

Diagram for Chemical Engineering question 30

A distillation column operating at 1.0 bar is required to produce 92 mol % methanol. The feed is a saturated liquid. It is an equimolar mixture of methanol and water. The minimum reflux ratio is

Your answerChoose one option.

0.33

0.50

0.54

1.17

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GATE CH topic:chemical-processes PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30