GATE CH exam:gate PYQs & Answers — Page 12

Questions 111–120 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 12 of 65

The Newton-Raphson method is used to find the root of

Starting with an initial guess

, the second iterate

is ____ (rounded off to 2 decimal places).

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Consider moist air with absolute humidity of 0.02 (kg moisture)/(kg dry air) at 1 bar pressure. The vapour pressure of water is given by the equation

where

is in bar and

is in K. The molecular weight of water and dry air are 18 kg/kmol and 29 kg/kmol, respectively. The dew temperature of the moist air is ____ °C (rounded off to the nearest integer).

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An ideal monoatomic gas is contained inside a cylinder-piston assembly connected to a Hooke spring as shown in the figure. The piston is frictionless and massless. The spring constant is 10 kN/m. At the initial equilibrium state (shown in the figure), the spring is unstretched. The gas is expanded reversibly by adding 362.5 J of heat. At the final equilibrium state, the piston presses against the stoppers. Neglecting the heat loss to the surroundings, the final equilibrium temperature of the gas is ____ K (rounded off to the nearest integer).

Diagram for Chemical Engineering question 48

GIVEN: For a monoatomic ideal gas,

, where

J/(mol K)

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A leaf filter is operated at 1 atm (gauge). The volume of filtrate collected (

in m

) is related with the volumetric flow rate for the filtrate (

in m

/s) as:

The volumetric flow rate of the filtrate at 1 hour is ____

/s (rounded off to 2 decimal places).

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An adiabatic pump of efficiency 40% is used to increase the water pressure from 200 kPa to 600 kPa. The flow rate of water is 600 L/min. The specific heat of water is 4.2 kJ/(kg °C). Assuming water is incompressible with a density of 1000 kg/m

, the maximum temperature rise of water across the pump is ____ °C (rounded off to 3 decimal places).

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Water flowing at 70 kg/min is heated from 25 °C to 65 °C in a counter-flow double pipe heat exchanger using hot oil. The oil enters at 110 °C and exits at 65 °C. If the overall heat transfer coefficient is 300 W/(m

K), the heat exchanger area is ____ m

(rounded off to 1 decimal place).

GIVEN: Specific heat of water and oil are 4.2 kJ/(kg °C) and 2 kJ/(kg °C), respectively.

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Consider laminar flow of water over a wide flat plate maintained at a uniform temperature of 50 °C as shown in the figure. The freestream velocity and temperature of water are 1.0 m/s (parallel to the plate) and 20 °C, respectively. The distance

from the leading edge, at which the thermal boundary layer thickness

m, is ____ m (rounded off to 1 decimal place).

Diagram for Chemical Engineering question 52

GIVEN: kinematic viscosity:

Prandtl number:

velocity boundary layer thickness:

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An electrical wire of 2 mm diameter and 5 m length is insulated with a plastic layer of thickness 2 mm and thermal conductivity

W/(m K). It is exposed to ambient air at 30 °C. For a current of 5 A, the potential drop across the wire is 2 V. The air-side heat transfer coefficient is 20 W/(m

K). Neglecting the thermal resistance of the wire, the steady state temperature at the wire-insulation interface is ____ °C (rounded off to 1 decimal place).

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A binary

liquid mixture containing 30 mol%

is subjected to differential (Rayleigh) distillation at atmospheric pressure in order to recover 60 mol%

in the distillate. Assuming a constant relative volatility

, the average composition of the collected distillate is ____ mol%

(rounded off to nearest integer).

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Gas containing 0.8 mol% component

is to be scrubbed with pure water in a packed bed column to reduce the concentration of

to 0.1 mol% in the exit gas. The inlet gas and water flow rates are 0.1 kmol/s and 3.0 kmol/s, respectively.

For the dilute system, both the operating and equilibrium curves are considered linear. If the slope of the equilibrium line is 24, the number of transfer units, based on the gas side,

is ____ (rounded off to 1 decimal place).

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GATE CH exam:gate PYQs

Question 46

Question 47

Question 48

Question 49

Question 50

Question 51

Question 52

Question 53

Question 54

Question 55