GATE XE format:nat PYQs & Answers — Page 36

Questions 351–360 of 668. Imported answers require independent review unless marked reviewed.

Topic practice 668 questionsPage 36 of 67

A coronavirus droplet of mass 1 microgram ejects from the mouth of a patient with a velocity of 0.7 m/s and travels through air. The gravitational force experienced by it can be neglected due to the buoyancy effect. However, the droplet experiences air drag force proportional to its velocity and the drag coefficient is given as 1.0 μN·s/m. The distance travelled by the droplet before its velocity drops to 10% of its initial value (in m, rounded off to two decimal places) is

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A cylinder of volume 1 m

contains a mixture of CO

(20% by mol) and O

(80% by mol) at 100 kPa and 300 K. This cylinder is connected to a 1 MPa pressure line carrying N

at 300 K. The cylinder is filled isothermally till the pressure of gas mixture inside becomes 500 kPa, and then the filling is stopped. The amount of N

gas that has entered the cylinder is __________ (in mole, 2 decimal places). The universal gas constant is 8.3145 J/(mol K).

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Air having a mass flow rate of 2 kg/s enters a diffuser at 100 kPa and 30°C, with a velocity of 200 m/s. Exit area of the diffuser is 400 cm² while the exit temperature of the air is 45°C. The rate of heat loss from the diffuser to the surrounding is 8 kJ/s. The pressure at the diffuser exit is __________ kPa (2 decimal places).

For air, the characteristic gas constant is 287 J/(kgK) and specific heat capacity at constant pressure is 1005 J/(kgK). Assume air to be an ideal gas and the flow in the diffuser is steady.

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For the Refrigerant R-134 (at 1 MPa and 50°C), the difference between the specific volume computed by assuming it to be an ideal gas and its actual specific volume is:

. If the compressibility factor associated with this state is

, then

__________

m³/kg (3 decimal places).

Here

is the specific volume calculated using the compressibility factor.

For Refrigerant R-134 (at 1 MPa and 50°C): The characteristic gas constant: 0.0815 kJ/(kgK), The critical pressure and temperature are, respectively,

MPa and

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A mixture of air and water vapour enters a steady-flow adiabatic saturator at 50°C and 100 kPa. It leaves the saturator in a completely saturated state at temperature of 25°C and pressure of 100 kPa. Liquid water enters the saturator at 25°C. If air is considered to be an ideal gas, with constant specific heat capacity, the relative humidity of the air entering the saturator is __________ % (1 decimal place).

Use the following data:

at 25°C

kJ/kg,

kPa

at 50°C

kJ/kg,

kPa

Specific heat capacity of air at constant pressure

kJ/(kgK)

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Air at a pressure of 1 MPa and 300 K is flowing in a pipe. An insulated evacuated rigid tank is connected to this pipe through an insulated valve. The volume of the tank is 1 m³. The valve is opened and the tank is filled with air until the pressure in the tank is 1 MPa. Subsequently, the valve is closed. Consider air to be an ideal gas and neglect bulk kinetic and potential energy. The final temperature of air in the tank is __________ K (1 decimal place).

Specific heat capacity of air at constant pressure

kJ/(kgK) and characteristic gas constant for air = 0.287 kJ/(kgK)

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A cylinder of volume 0.1 m³ is filled with 100 mol of propane (C₃H₈) at 2 MPa. If propane is assumed to obey the van der Waals equation of state, then its temperature is ______ K (1 decimal place).

The van der Waals constants for propane are: a = 939.2 kPa (m³/kmol)² and b = 0.095 m³/kmol. The universal gas constant is 8.3145 J/(mol K).

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A frictionless piston cylinder device contains 1 kg of an ideal gas. The gas is compressed according to Pv¹·³ = constant (P is pressure and v is mass specific volume), from 100 kPa, 250 K, till it reaches a temperature of 500 K. The heat transfer from the piston cylinder device to its surroundings is __________ kJ (2 decimal places).

The characteristic gas constant is 287 J/(kg K) and the ratio of specific heat capacities is 1.4.

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A 0.8 m³ insulated rigid tank contains 1.5 kg of an ideal gas at 100 kPa. Electric work is done on the system until the pressure in the tank rises to 135 kPa. The loss in availability (exergy) associated with the process is __________ kJ (2 decimal places).

For the ideal gas, the characteristic gas constant is 188.9 J/(kg K) and the specific heat capacity at constant volume is 680 J/(kg K). The temperature of the dead state is 298 K.

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A rigid tank contains 1.0 kg of pure water consisting of liquid and vapour phases in equilibrium at 10 bar. If the liquid and vapour phase each occupies one half of the volume of the tank, then the net enthalpy of the contents of the tank is ______ kJ (1 decimal place).

For saturated liquid and vapour at 10 bar, the thermodynamic data table provides the following value:

v_f = 1.127 × 10⁻³ m³/kg, v_g = 194.3 × 10⁻³ m³/kg, h_f = 762.6 kJ/kg, h_g = 2776.2 kJ/kg

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GATE XE format:nat PYQs

Question 22

Question 9

Question 14

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Question 19

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Question 21