Mechanical Engineering
2024 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE ME 2024 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 49–51 of 65. Imported answers require review unless explicitly marked reviewed.
Question 49
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A condenser is used as a heat exchanger in a large steam power plant in which steam is condensed to liquid water. The condenser is a shell and tube heat exchanger which consists of 1 shell and 20,000 tubes. Water flows through each of the tubes at a rate of 1 kg/s with an inlet temperature of 30 °C. The steam in the condenser shell condenses at the rate of 430 kg/s at a temperature of 50 °C. If the heat of vaporization is 2.326 MJ/kg and specific heat of water is 4 kJ/(kg.K), the effectiveness of the heat exchanger is ______ (rounded off to 3 decimal places).
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Consider a hemispherical furnace of diameter
m with a flat base. The dome of the furnace has an emissivity of 0.7 and the flat base is a blackbody. The base and the dome are maintained at uniform temperatures of 300 K and 1200 K, respectively. Under steady state conditions, the rate of radiation heat transfer from the dome to the base is ______ kW (rounded off to the nearest integer).Use Stefan-Boltzmann constant =
W/(m² K⁴)
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A liquid fills a horizontal capillary tube whose one end is dipped in a large pool of the liquid. The experiments show that the distance
travelled by the liquid meniscus inside the capillary in time
is given by
where
is the surface tension,
is the inner radius of the capillary, and
is the dynamic viscosity of the liquid. If
is a dimensionless constant, then the exponent
is ________ (rounded off to 1 decimal place).Log in to check the answer
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