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GATE ME 2021: National Champion Quiz-3 (App update required to attempt this test)

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Question 1

The properties of mercury at 300 K are: density = 13529 kg/m3, specific heat at constant pressure = 0.1500 kJ/kg-K, dynamic viscosity = 0.1400 × 10-2 N.s/m2 and thermal conductivity = 5 W/m-K. The Prandtl number of the mercury at 300 K is _______.

Question 2

A four stroke, four cylinder engine develops 150 Nm brake torque at 3000rpm. Assuming mechanical efficiency as 85%, find indicated power in kW.

Question 3

A refrigeration cycle working on the reversed Brayton cycle with isentropic expansion and compression processes has an operating pressure ratio of 5. The COP of the refrigeration cycle is ___________

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Question 4

In a counter flow heat exchanger having an area of 50mand heat capacity of hot and cold fluid is 3.050kW/K. If the overall heat transfer coefficient is 250W/K, then find the effectiveness of heat exchanger if heat exchanger area is

Question 5

If Prandtl number is 0.064 and friction coefficient is 0.64, Stanton number will be equal to___.

Question 6

Two identical metal blocks L and M (specific heat = 0.4 kJ/kg.K), each having a mass of 5 kg, are initially at 313 K. A reversible refrigerator extracts heat from block L and rejects heat to block M until the temperature of block L reaches 293 K. The final temperature (in K) of block M is _______

Question 7

On a moist day, relative humidity of air was 70% and dry bulb temperature of air is 30°C . Saturation pressure at 30°C is 4.2461 kPa. The specific humidity in (g/kg of d.a.) is ________.
Patm= 101.325 kPa

Question 8

 50 kg of water at 85 oC mixes with 70 kg of water at 45 oC at a constant pressure. The  decrease in available energy (in KJ) is ___ (cp of water is 4.2 kJ/kgK and temperature of surroundings is 25oC)

Question 9

A spherical body of diameter 75 mm of initial temperature 25 is immersed in the fluid at temperature 400. Thermo physical properties of the body are k=22W/m-K, c=400 J/kg and ρ=9000kg/m3 (Regular notations used). Determine the time (in seconds) when the temperature will become 390, given the convective heat transfer coefficient between body and fluid is 300W/m2-k.

Question 10

The overall heat transfer coefficient is 500. During the operation the tube surfaces get covered by soot, and the overall heat transfer coefficient is 250. Thus it leads to a factor having a value.

Question 11

During the charging of a storage battery, the current i is 25 A and the voltage E is 10.8 V. The rate of heat transfer from the battery is 9 W. The rate of increasing of the internal energy __________.

Question 12

Two large parallel plates having a gap of 10 mm in between them are maintained at temperature T1= 1000 K and T2= 400 K. Given emissivity values, =0.5, =0.25 and Stefan-Boltzmann constant the heat transfer between the plates (in kW/m2) is ______
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Sep 8ESE & GATE ME