GATE CH topic:chemical-processes PYQs & Answers — Page 44

Questions 431–440 of 650. Imported answers require independent review unless marked reviewed.

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

Your answerChoose one option.

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

Your answerChoose one option.

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

Your answerChoose one option.

, 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

Your answerChoose one option.

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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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A feed stream containing pure species L flows into a reactor, where L is partly converted to M as shown in the figure.

Diagram for Chemical Engineering question 37

The mass flow rate of the recycle stream is 20% of that of the product stream. The overall conversion of L (based on mass units) in the process is 30%. Assuming steady state operation, the one-pass conversion of L (based on mass units) through the reactor is

Your answerChoose one option.

34.2%

30%

26.3%

23.8%

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A U-tube manometer contains two manometric fluids of densities 100 kg m

and 600 kg m

. When both the limbs are open to atmosphere, the difference between the two levels is 10 cm at equilibrium, as shown in the figure.

The rest of the manometer is filled with air of negligible density. The acceleration due to gravity is 9.81 m s

and the atmospheric pressure is 100 kPa. How much absolute pressure (in kPa) has to be applied on the limb ‘P’ to raise fluid in the limb ‘Q’ by another 20 cm?

Diagram for Chemical Engineering question 38

Your answerChoose one option.

100.175

103.924

547.231

833.206

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A pure gas obeys the equation of state given by

where

is the pressure,

is the absolute temperature,

is the molar volume of the gas,

is the universal gas constant, and

is a parameter independent of

and

. The residual molar Gibbs energy,

, of the gas is given by the relation

where

is the compressibility factor and the integral is evaluated at constant

. If the value of

, the residual molar enthalpy (in J mol

) of the gas at 100 kPa and 300 K is

Your answerChoose one option.

100

300

249

3000

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Consider one mole of an ideal gas in a closed system. It undergoes a change in state from L to N through two different non-isothermal processes, as shown in the P-V diagram (where

is the pressure and

is the molar volume of the gas). Process I is carried out in a single step, namely LN, whereas process II is carried out in two steps, namely LM and MN. All the steps are reversible.

The net heat flowing into the system for process I is

, and that for process II is

. The value of

(in J) is

Diagram for Chemical Engineering question 40

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250

500

1000

1500

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GATE CH topic:chemical-processes PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40