GATE CH format:mcq PYQs & Answers — Page 26

Questions 251–260 of 378. Imported answers require independent review unless marked reviewed.

The maximum value of the function

in the interval

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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

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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

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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

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0.33

0.50

0.54

1.17

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Consider the gas phase reaction

occurring in an isothermal and isobaric reactor maintained at 298 K and 1.0 bar. The standard Gibbs energy change of the reaction at 298 K is

J mol⁻¹. The standard states are those of pure ideal gases at 1.0 bar. The equilibrium mixture in the reactor behaves as an ideal gas. The value of the universal gas constant is 8.314 J mol⁻¹ K⁻¹. If one mole of pure N₂O₄ is initially charged to the reactor, the fraction of N₂O₄ that decomposes into NO₂ at equilibrium is

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0.17

0.38

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A tank initially contains a gas mixture with 21 mol % oxygen and 79 mol % nitrogen. Pure nitrogen enters the tank, and a gas mixture of nitrogen and oxygen exits the tank. The molar flow rate of both the inlet and exit streams is 8 mol s

. In addition, use the following data and assumptions:

• Assume the tank contents to be well mixed • Assume ideal gas behavior • The temperature and pressure inside the tank are held constant • Molar density of the gas mixture in the tank is constant at 40 mol m

If the volume of the tank is 20 m

, then the time (in seconds) required for oxygen content in the tank to decrease to 1 mol % is

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100.45

304.45

3.445

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Consider steady, laminar, fully developed flow of an incompressible Newtonian fluid through two horizontal straight pipes, I and II, of circular cross section. The volumetric flow rates in both the pipes are the same. The diameter of pipe II is twice the diameter of pipe I, i.e.,

. The ratio of the shear stress at the wall of pipe I to the shear stress at the wall of pipe II is

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0.5

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Equilibrium data for a binary mixture of E and F at two different pressures is shown in the figure.

It is desired to process a feed containing 80 mol % E and 20 mol % F, and obtain a product with a purity of 99.5 mol % E. A sequence of two distillation columns, one operating at pressure

and another at

, is employed for this operation, as shown below.

The mole fraction of E in the distillate obtained from column 1 is 0.9. If the column pressures

and

are in kPa, which one of the following is correct?

Diagram for Chemical Engineering question 34

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, and high purity E is recovered from the top of column 2

, and high purity E is recovered from the bottom of column 2

, and high purity E is recovered from the top of column 2

, and high purity E is recovered from the bottom of column 2

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A hollow cylinder of equal length and inner diameter (i.e.,

) is sealed at both ends with flat plate, as shown in the figure. Its inner surfaces,

, and

radiate energy.

denotes the fraction of radiation energy leaving the surface

which reaches the surface

. It is also known that

. Which one of the following is correct?

Diagram for Chemical Engineering question 35

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A student performs a flow experiment with Bingham Plastic under fully developed laminar flow conditions in a tube of radius 0.01 m with a pressure drop (

) of 10 kPa over tube length (

) of 1.0 m. The velocity profile is flat for

and parabolic for

, as shown in the figure.

Diagram for Chemical Engineering question 36

Consider

and

as the radial and axial directions, and the shear stress is finite as

approaches zero. A force balance results in the following equation

where

is the shear stress. If

is 0.001 m, then the magnitude of yield stress for this Bingham Plastic (in Pa) is

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GATE CH format:mcq PYQs

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36