GATE CH kind:question PYQs & Answers — Page 19

Questions 181–190 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 19 of 65

Consider the line integral

, with

, where

and

are unit vectors in the

Cartesian coordinate system. The path C is given by

, where

. The value of the integral, rounded off to 2 decimal places, is ________

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Consider the ordinary differential equation

, with the boundary conditions

and

. The solution

, rounded off to 2 decimal places, is ________

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Consider the function

. The directional derivative of the function at the point

along

, where

and

are unit vectors in the x and y directions, respectively, rounded off to 2 decimal places, is ______

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Consider the process in the figure for manufacturing B. The feed to the process is 90 mol% A and a close-boiling inert component I. At a particular steady-state: •

product rate is 100 kmol h

• Single-pass conversion of A in the reactor is 50% • Recycle-to-purge stream flow ratio is 10 The flow rate of A in the purge stream in kmol h

, rounded off to 1 decimal place, is ____

Diagram for Chemical Engineering question 54

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Methane combusts with air in a furnace as

. The heat of reaction

kJ per mol

and is assumed to be constant. The furnace is well insulated and no other side reactions occur. All components behave as ideal gases with a constant molar heat capacity of 44 J mol

°C

. Air may be considered as 20 mol%

and 80 mol%

. The air-fuel mixture enters the furnace at 50 °C. The methane conversion

varies with the air-to-methane mole ratio,

, as

where

is the stoichiometric air-to-methane mole ratio. For

, the exit gas temperature in °C, rounded off to 1 decimal place, is _____

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An isolated system consists of two perfectly sealed cuboidal compartments A and B separated by a movable rigid wall of cross-sectional area 0.1 m

as shown in the figure. Initially, the movable wall is held in place by latches

and

such that the volume of compartment A is 0.1 m

. Compartment A contains a monoatomic ideal gas at 5 bar and 400 K. Compartment B is perfectly evacuated and contains a massless Hookean spring of force constant 0.3 N m

at its equilibrium length (stored elastic energy is zero). The latches

and

are released, the wall moves to the right by 0.2 m, where it is held at the new position by latches

and

. Assume all the walls and latches are massless. The final equilibrium temperature, in K, of the gas in compartment A, rounded off to 1 decimal place, is ________

Diagram for Chemical Engineering question 56

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Ethylene obeys the truncated virial equation-of-state

where P is the pressure, V is the molar volume, T is the absolute temperature and B is the second virial coefficient. The universal gas constant

bar cm

mol

. At 340 K, the slope of the compressibility factor vs. pressure curve is

bar

. Let

denote the molar residual Gibbs free energy. At these conditions, the value of

, in cm

mol

, rounded off to 1 decimal place, is __________

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A metallic spherical particle of density 7001 kg m

and diameter 1 mm is settling steadily due to gravity in a stagnant gas of density 1 kg m

and viscosity 10

kg m

. Take

m s

. Assume that the settling occurs in the regime where the drag coefficient

is independent of the Reynolds number, and equals 0.44. The terminal settling velocity of the particle, in m s

, rounded off to 2 decimal places, is ____

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Water of density 1000 kg m

is pumped at a volumetric flow rate of

through a pipe of inner diameter 10 cm and length 100 m, from a large Reservoir 1 to another large Reservoir 2 at a height 50 m above Reservoir 1, as shown in the figure. The flow in the pipe is in the turbulent regime with a Darcy friction factor

, and a kinetic energy correction factor

. Take

m s

. If all minor losses are negligible, and the pump efficiency is 100%, the pump power, in kW, rounded off to 2 decimal places, is ____

Diagram for Chemical Engineering question 59

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A Venturi meter with a throat diameter

cm measures the flow rate in a pipe of diameter

cm, as shown in the figure. A U-tube manometer is connected to measure the pressure drop. Assume the discharge coefficient is independent of the Reynolds number and geometric ratios. If the volumetric flow rate through the pipe is doubled

, the corresponding ratio of the manometer readings

, rounded off to the nearest integer, is _______

Diagram for Chemical Engineering question 60

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GATE CH kind:question PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60