GATE CH discipline:chemical-engineering PYQs & Answers — Page 32

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Questions 311–320 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 32 of 65

Two reservoirs located at the same altitude are connected by a straight horizontal pipe of length 120 m and inner diameter 0.5 m, as shown in the figure. A pump transfers the liquid of density 800 kg m

at a flow rate of 1 m

from Reservoir-1 to Reservoir-2. The liquid levels in Reservoir-1 and Reservoir-2 are 2 m and 10 m, respectively. Assume that the reservoir cross-section areas are large enough to neglect the liquid velocity at the top of the reservoirs. All minor losses can be ignored. The acceleration due to gravity is 9.8 m s

. If the friction factor for the pipe-flow is 0.01, the required power of the pump is __________ kW (rounded off to one decimal place).

Diagram for Chemical Engineering question 51

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A venturi meter (venturi coefficient,

) is connected to a pipe of inner diameter 50 mm. Water (density 1000 kg m

) is flowing through the pipe. The pressure-drop measured across the venturi meter is 50 kPa. If the venturi throat diameter is 20 mm, the estimated flow rate of water is ______

(rounded off to two decimal places).

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In a constant-rate cake filtration operation, the collected filtrate volumes are 120 m

and 240 m

at 1 min and 2 min, respectively. Assume the cake resistance to be constant and the filter medium resistance to be negligible. If the pressure-drop across the cake is 10 kPa at 1 min, its value at 2 min is __________ kPa (rounded off to the nearest integer).

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A cylindrical fin of diameter 24 mm is attached horizontally to a vertical plane wall. The heat transfer rate from the fin to the surrounding air is 60% of the heat transfer rate if the entire fin were at the wall temperature. If the fin effectiveness is 10, its length is __________ mm (rounded off to the nearest integer).

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A single-effect evaporator with a heat transfer area of 70 m

concentrates a salt solution using steam. The salt solution feed rate and temperature are 1000 kg h

and 40 °C, respectively. The saturated steam feed rate and temperature are 750 kg h

and 150 °C, respectively. The boiling temperature of the solution in the evaporator is 80 °C. The average specific heat of the solution is 0.8 kcal kg

. The latent heat of vaporization is 500 kcal kg

. If the steam-economy is 0.8, the overall heat transfer coefficient is ______ kcal h

(rounded off to the nearest integer).

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An equimolar binary mixture is to be separated in a simple tray-distillation column. The feed rate is 50 kmol min

. The mole fractions of the more volatile component in the top and bottom products are 0.90 and 0.01, respectively. The feed as well as the reflux stream are saturated liquids. On application of the McCabe-Thiele method, the operating line for the stripping section is obtained as

where

and

are the mole fractions of the more volatile component in the vapor and liquid phases, respectively. The reflux ratio is ______ (rounded off to two decimal places).

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The dry-bulb temperature of air in a room is 30 °C. The Antoine equation for water is given as

where

is the temperature in K and

is the saturation vapor pressure in bar. The latent heat of vaporization of water is 2000 kJ kg

, the humid heat is 1.0 kJ kg

, and the molecular weights of air and water are 28 kg kmol

and 18 kg kmol

, respectively. If the absolute humidity of air is

kg moisture per kg dry air, then for a wet-bulb depression of 9 °C,

________________ (rounded off to one decimal place).

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In the block diagram shown in the figure, the transfer function

with

and

. The maximum value of

below which the system remains stable is __________ (rounded off to two decimal places).

Diagram for Chemical Engineering question 58

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Consider the tank level control system shown in the figure, where the cross-section area of the tank is

. Assume perfect flow controllers (FC). The level controller (LC) is proportional-integral (PI). For an integral time,

, the level controller gain,

, is tuned for critical damping. The value of

is ______ (rounded off to the nearest integer).

Diagram for Chemical Engineering question 59

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Consider a single-input-single-output (SISO) system with the transfer function

where the time constants are in minutes. The system is forced by a unit step input at time

. The time at which the output response reaches the maximum is __________ minutes (rounded off to two decimal places).

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GATE CH discipline:chemical-engineering PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60