GATE CH year:2023 PYQs & Answers — Page 6

Questions 51–60 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 6 of 7

A pump draws water (density = 1000 kg·m

) at a steady rate of 10 kg·s

. The pressures at the suction and discharge sides of the pump are −20 kPa (gauge) and 350 kPa (gauge), respectively. The pipe diameters at the suction and discharge side are 70 mm and 50 mm, respectively. The suction and discharge lines are at the same elevation, and the pump operates at an efficiency of 80 %. Neglecting frictional losses in the system, the power (in kW) required to drive the pump is _____ (rounded off to two decimal places).

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A cylindrical tank with a diameter of 500 mm contains water (density = 1 g·cm

) up to a height

. A 5 mm diameter round nozzle, whose center is 1 cm above the base of the tank, has its exit open to the atmosphere as shown in the schematic below. The pressure above the water level in the tank is maintained at 2 bar (absolute). Neglect all frictional and entry-exit losses. Use acceleration due to gravity as 10 m·s

and atmospheric pressure as 1 bar. The absolute value of initial

(in mm·s

) when

cm is equal to _______ (rounded off to two decimal places).

Diagram for Chemical Engineering question 52

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A large tank is filled with water (density = 1 g·cm

) up to a height of 5 m. A 100 μm diameter solid spherical particle (density = 0.8 g·cm

) is released at the bottom of the tank. The particle attains terminal velocity (

) after traveling to a certain height in the tank. Use acceleration due to gravity as 10 m·s

and water viscosity as 10

Pa·s. Neglect wall effects on the particle. If Stokes law is applicable, the absolute value of

(in mm·s

) is __________(rounded off to two decimal places).

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A fluid is flowing steadily under laminar conditions over a thin rectangular plate at temperature

as shown in the figure below. The velocity and temperature of the free stream are

and

, respectively. When the fluid flow is only in the

-direction,

is the local heat transfer coefficient. Similarly, when the fluid flow is only in the

-direction,

is the corresponding local heat transfer coefficient. Use the correlation

for the local heat transfer coefficient, where, Nu, Re and Pr are the appropriate Nusselt, Reynolds and Prandtl numbers. The average heat transfer coefficients are defined as

and

. If

m and

m, the value of the ratio of

is ______ (in integer).

Diagram for Chemical Engineering question 54

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A perfectly insulated, concentric tube countercurrent heat exchanger is used to cool lubricating oil using water as a coolant (see figure below). Oil enters the outer annulus at a mass flow rate of 2 kg·s

with a temperature of 100 °C and leaves at 40 °C. Water enters the inner tube at a mass flow rate of 1 kg·s

with a temperature of 20 °C and leaves at 80 °C. Use specific heats of oil and water as 2089 J·kg

·K

and 4178 J·kg

·K

, respectively. There is no phase change in both the streams. Under steady-state conditions, the number of transfer units (NTU) is ______ (in integer).

Diagram for Chemical Engineering question 55

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Partially saturated air at 1 bar and 50 °C is contacted with water in an adiabatic saturator. The air is cooled and humidified to saturation, and exits at 25 °C with an absolute humidity of 0.02 kg water per kg dry air. Use latent heat of vaporization of water as 2450 kJ·kg

, and average specific heat capacity for dry air and water, respectively as 1.0 kJ·kg

·K

and 4.18 kJ·kg

·K

. If the absolute humidity of air entering the adiabatic saturator is

kg water per kg dry air, the value of

is __________ (rounded off to two decimal places).

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Distillation of a non-reactive binary mixture with components

and

is carried out in a batch still as shown in the figure below. The initial charge of the mixture in the still is 1 kmol. The initial and final amounts of

in the still are 0.1 kmol and 0.01 kmol, respectively. Use a constant relative volatility of 4.5. The mole fraction of

remaining in the vessel is ______ (rounded off to three decimal places).

Diagram for Chemical Engineering question 57

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Fresh catalyst is loaded into a reactor before the start of the following catalytic reaction:

The catalyst gets deactivated over time. The instantaneous activity

, at time

, is defined as the ratio of the rate of the reaction

(mol·(g cat)

·hr

) to the rate of reaction with fresh catalyst. Controlled experimental measurements led to an empirical correlation

where

is in hours. The activity of the catalyst at

hr is ______ (rounded off to one decimal place).

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A unimolecular, irreversible liquid-phase reaction

was carried out in an ideal batch reactor at temperature

. The rate of the reaction (

) measured at different conversions

is given in the table below. This reaction is also carried out in an ideal continuous stirred tank reactor (CSTR) at the same temperature

with a feed concentration of 1 mol m

, under steady-state conditions. For a conversion of 0.8, the space time (in s) of the CSTR is ______ (in integer).

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An irreversible liquid-phase second-order reaction

with rate constant

liter·mol

·min

, is carried out in an isothermal non-ideal reactor. A tracer experiment conducted on this reactor resulted in a residence time distribution (

-curve) as shown in the figure below. The areas of the rectangles (i), (ii) and (iii) are equal. Pure

at a concentration of 1.5 mol·liter

is fed to the reactor. The segregated model mimics the nonideality of the reactor. The percentage conversion of

at the exit of the reactor is _____ (rounded off to the nearest integer).

Diagram for Chemical Engineering question 60

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GATE CH year:2023 PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60