GATE ME purpose:exam-prep PYQs & Answers — Page 51

Questions 501–510 of 1040. Imported answers require independent review unless marked reviewed.

Topic practice 1040 questionsPage 51 of 104

In the vicinity of the triple point, the equation of liquid-vapour boundary in the

phase diagram for ammonia is

, where

is pressure (in Pa) and

is temperature (in K). Similarly, the solid-vapour boundary is given by

. The temperature at the triple point is ______ K (round off to one decimal place).

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Water flows out from a large tank of cross-sectional area

through a small rounded orifice of cross-sectional area

, located at

. Initially the water level, measured from

, is

. The acceleration due to gravity is

Diagram for Mechanical Engineering question 46

Neglecting any losses, the time taken by water in the tank to reach a level of

is __________ seconds (round off to one decimal place).

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A cylindrical jet of water (density = 1000 kg/m³) impinges at the center of a flat, circular plate and spreads radially outwards, as shown in the figure. The plate is resting on a linear spring with a spring constant

kN/m. The incoming jet diameter is

cm.

Diagram for Mechanical Engineering question 47

If the spring shows a steady deflection of 1 cm upon impingement of the jet, then the velocity of the incoming jet is ______ m/s (round off to one decimal place).

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Consider the open feed water heater (FWH) shown in the figure given below:

Specific enthalpy of steam at location 2 is 2624 kJ/kg, specific enthalpy of water at location 5 is 226.7 kJ/kg and specific enthalpy of saturated water at location 6 is 708.6 kJ/kg. If the mass flow rate of water entering the open feed water heater (at location 5) is 100 kg/s then the mass flow rate of steam at location 2 will be __________ kg/s (round off to one decimal place).

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A single jet Pelton wheel operates at 300 rpm. The mean diameter of the wheel is 2 m. Operating head and dimensions of jet are such that water comes out of the jet with a velocity of 40 m/s and flow rate of 5 m³/s. The jet is deflected by the bucket at an angle of 165°. Neglecting all losses, the power developed by the Pelton wheel is ______ MW (round off to two decimal places).

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A high velocity water jet of cross section area = 0.01 m² and velocity = 35 m/s enters a pipe filled with stagnant water. The diameter of the pipe is 0.32 m. This high velocity water jet enters additional water from the pipe and the total water leaves the pipe with a velocity 6m/s as shown in the figure.

Diagram for Mechanical Engineering question 48

The flow rate of entrained water is __________ litres/s (round off to two decimal places).

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An air-conditioning system provides a continuous flow of air to a room using an intake duct and an exit duct, as shown in the figure. To maintain the quality of the indoor air, the intake duct supplies a mixture of fresh air with a cold air stream. The two streams are mixed in an insulated mixing chamber located upstream of the intake duct. Cold air enters the mixing chamber at 5 °C, 105 kPa with a volume flow rate of 1.25 m³/s during steady state operation. Fresh air enters the mixing chamber at 34 °C and 105 kPa. The mass flow rate of the fresh air is 1.6 times of the cold air stream. Air leaves the room through the exit duct at 24 °C.

Diagram for Mechanical Engineering question 49

Assuming the air behaves as an ideal gas with

kJ/kg.K and

kJ/kg.K, the rate of heat gain by the air from the room is ______ kW (round off to two decimal places).

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A vertical shaft Francis turbine rotates at 300 rpm. The available head at the inlet to the turbine is 200 m. The tip speed of the rotor is 40 m/s. Water leaves the runner of the turbine without whirl. Velocity at the exit of the draft tube is 3.5 m/s. The head losses in different components of the turbine are: (i) stator and guide vanes: 5.0 m, (ii) rotor: 10 m, and (iii) draft tube: 2 m. Flow rate through the turbine is 20 m³/s. Take

. The hydraulic efficiency of the turbine is __________ % (round off to one decimal place).

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Two smooth identical spheres each of radius 125 mm and weight 100 N rest in a horizontal channel having vertical walls. The distance between vertical walls of the channel is 400 mm.

Diagram for Mechanical Engineering question 50

The reaction at the point of contact between two spheres is ______ N (round off to one decimal place).

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An adiabatic vortex tube, shown in the figure given below is supplied with 5 kg/s of air (inlet 1) at 500 kPa and 300 K. Two separate streams of air are leaving the device from outlets 2 and 3. Hot air leaves the device at a rate of 3 kg/s from outlet 2 at 100 kPa and 340 K, and 2 kg/s of cold air stream is leaving the device from outlet 3 at 100 kPa and 240 K.

Assume constant specific heat of air is 1005 J/kg.K and gas constant is 287 J/kg.K. There is no work transfer across the boundary of this device. The rate of entropy generation is __________ kW/K (round off to one decimal place).

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GATE ME purpose:exam-prep PYQs

Question 46

Question 46

Question 47

Question 47

Question 48

Question 48

Question 49

Question 49

Question 50

Question 50