GATE CH year:2017 PYQs & Answers — Page 4

Questions 31–40 of 65. Imported answers require independent review unless marked reviewed.

Reaction A → B is carried out in a reactor operating at steady state and 1 mol/s of pure A at 425°C enters the reactor. The outlet stream leaves the reactor at 325°C. The heat input to the reactor is 17 kW. The heat of reaction at the reference temperature of 25°C is 30 kJ/mol. The specific heat capacities (in kJ/mol.K) of A and B are 0.1 and 0.15, respectively. The molar flowrate of B leaving the reactor, rounded to 2 decimal places, is __________ mol/s.

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The pressure of a liquid is increased isothermally. The molar volume of the liquid decreases from

m³/mol to

m³/mol during this process. The isothermal compressibility of the liquid is

Pa⁻¹, which can be assumed to be independent of pressure. The change in the molar Gibbs free energy of the liquid, rounded to nearest integer, is ______ J/mol.

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A sparingly soluble gas (solute) is in equilibrium with a solvent at 10 bar. The mole fraction of the solute in the gas phase is 0.01. At the operating temperature and pressure, the fugacity coefficient of the solute in the gas phase and the Henry’s law constant are 0.92 and 1000 bar, respectively. Assume that the liquid phase obeys Henry’s law. The MOLE PERCENTAGE of the solute in the liquid phase, rounded to 2 decimal places, is ______.

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The vapour pressure of a pure substance at a temperature

is 30 bar. The actual and ideal gas values of

for the saturated vapour at this temperature

and 30 bar are 7.0 and 7.7, respectively. Here,

is the molar Gibbs free energy and

is the universal gas constant. The fugacity of the saturated liquid at these conditions, rounded to 1 decimal place, is ________ bar.

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Oil is being delivered at a steady flowrate through a circular pipe of radius

m and length 10 m. The pressure drop across the pipe is 500 Pa. The shear stress at the pipe wall, rounded to 2 decimal places, is __________ Pa.

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The following table provides four sets of Fanning friction factor data, for different values of Reynolds number (

) and roughness factor


	0	0.001	0	0.001
Set I,	0.16	0.016
Set II,	0.016	0.16	0.0055	0.0045
Set III,	0.16	0.016	0.0045	0.0055
Set IV,	0.0045	0.0055	0.016	0.16

Which of the above sets of friction factor data is correct?

Your answerChoose one option.

Set I

Set II

Set III

Set IV

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A propeller (diameter

m) rotates at

revolution per second (rps). To understand the flow around the propeller, a lab-scale model is made. Important parameters to study the flow are velocity of the propeller tip (

), diameter

and acceleration due to gravity (

). The lab-scale model is 1/100th of the size of the actual propeller. The rotation speed of the lab-scale model, to the nearest integer, should be ________ rps.

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Size analysis was carried out on a sample of gravel. The data for mass fraction (

) and average particle diameter (

) of the fraction is given in the table below:

	(mm)
0.2	5
0.4	10
0.4	20

The mass mean diameter of the sample, to the nearest integer, is ________ mm.

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Let

be the spectral blackbody radiation intensity per unit wavelength about the wavelength

. The blackbody radiation intensity emitted by a blackbody over all wavelengths is

Your answerChoose one option.

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A fluid flows over a heated horizontal plate maintained at temperature

. The bulk temperature of the fluid is

. The temperature profile in the thermal boundary layer is given by:

Here,

is the vertical distance from the plate,

is the thickness of the thermal boundary layer and

is the thermal conductivity of the fluid. The local heat transfer coefficient is given by

Your answerChoose one option.

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GATE CH year:2017 PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40