GATE XE format:nat PYQs & Answers — Page 17

Questions 161–170 of 668. Imported answers require independent review unless marked reviewed.

Topic practice 668 questionsPage 17 of 67

A square block of side 1 m and mass 10 kg is resting on a horizontal surface. The coefficient of static friction between the block and the surface is 0.75. A horizontal force P acts on the block as shown in the figure. The force P is gradually increased from zero until the block either slides or topples. The maximum value of

(in m, rounded off to two decimal places) for which the block slides without toppling is _____. Take the acceleration due to gravity

m/s

Diagram for Engineering Sciences question 87

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Following data is for an actual vapour compression refrigeration cycle.

Enthalpy at compressor inlet: 246 kJ/kg

Enthalpy at compressor exit: 286 kJ/kg

Heat load on the evaporator: 158 kJ/kg

The enthalpy at the exit of the condenser in kJ/kg is ________ (rounded off to the nearest integer).

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A rigid tank, initially at 1 bar and 300 K, contains 5 moles of

, 4 moles of

, and 3 moles of

. From this tank, 2 moles of

are removed keeping the temperature constant. Assuming ideal gas behavior, the final partial pressure of

(in bar) inside the tank is ________ (rounded off to three decimal places).

Use

J/mol.K

Molecular weights of

and

are 2 g/mol, 28 g/mol, and 32 g/mol respectively.

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Consider the following data from a Brayton cycle.

Enthalpy at inlet to turbine: 1400 kJ/kg

Enthalpy at exit of turbine: 880 kJ/kg

Enthalpy at exit of compressor: 600 kJ/kg

On adding a regenerator of effectiveness equal to 0.8, the absolute value of percentage change in heat addition is ________ (rounded off to the nearest integer).

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An ideal gas undergoes a series of reversible steady state, steady flow processes between states 1, 2 and 3. Process 1→2 satisfies the relation

, where pressure, P is in kPa and specific volume, v is in m³/kg. Process 2→3 is isobaric. Given that

m³/kg,

, the total work done per unit mass (in kJ/kg) in the series of processes 1→2→3 is ________ (rounded off to the nearest integer).

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Air (assumed as an ideal gas) with a mass flow rate of 2.5 kg/s enters a horizontal nozzle at 350 K, 350 kPa with a velocity of 3 m/s. The air exits the nozzle at a pressure of 101.5 kPa and temperature 305 K with a Mach number of

. Assuming steady state operation and constant properties given in the data, the ratio of inlet area to exit area required to satisfy the exit condition is ________ (rounded off to one decimal place).

Use the following data:

kJ/kg.K,

kJ/kg.K

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The melting point of a substance at 1 bar is 273 K. The following property data is available for this substance at 1 bar.

Property	Value
Density of the solid phase	900 kg/m³
Density of the liquid phase	1000 kg/m³
Latent heat for melting	300 kJ/kg

Assuming that the above properties are constant, the melting point (in K) of the substance at 101 bar is ________ (rounded off to two decimal places).

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100 moles of moist air at 70% relative humidity is cooled from 70 °C to 50 °C at a constant pressure of 1 bar. The vapour pressures of water are given in the table. The number of moles of water left in the moist air at the end of this process is ________ (rounded off to two decimal places).

Temperature (°C)	Vapour Pressure (kPa)
50	12.34
70	31.16

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A rigid insulated tank containing an ideal gas at 300 K and 1 bar is being filled from an external pressurized line supplying the same gas at 300 K and 10 bar. When the mass of gas inside the tank has doubled, its temperature (in K) is ________ (rounded off to the nearest integer).

Assume ratio of specific heats to be constant for this process and equal to 1.4.

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A piston-cylinder system contains 2 kg of wet steam at 90 °C with quality of 0.1. The piston is loaded with a linear spring. The steam is heated to 800 kPa and 250 °C on heating. The work done (in kJ) in this process is ______ (rounded off to two decimal places).

Use the following data:

At 90 °C:

kPa,

m³/kg,

m³/kg

At 250 °C and 800 kPa:

m³/kg

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GATE XE format:nat PYQs

Question 87

Question 95

Question 96

Question 103

Question 104

Question 105

Question 106

Question 107

Question 108

Question 109