A 3-m-internal-diameter spherical tank made of 1-cm-thick stainless steel (k = 15 W/m. K) is used to store iced water at 0°C. The tank is located outdoors at 30°C and is subjected to winds at 25 km/h. Assuming the entire steel tank to be at 0°C and thus its thermal resistance to be negligible, determine (a) the rate of heat transfer to the iced water in the tank and (b) the amount of ice at 0°C that melts during a 24-h period. The heat of fusion of water at atmospheric pressure is hif = 333.7 kJ/kg. Disregard any heat transfer by radiation.

A 3-m-internal-diameter spherical tank made of 1-cm-thick stainless steel (k = 15 W/m. K) is used to store iced water at 0°C. The tank is located outdoors at 30°C and is subjected to winds at 25 km/h. Assuming the entire steel tank to be at 0°C and thus its thermal resistance to be negligible, determine (a) the rate of heat transfer to the iced water in the tank and (b) the amount of ice at 0°C that melts during a 24-h period. The heat of fusion of water at atmospheric pressure is hif = 333.7 kJ/kg. Disregard any heat transfer by radiation.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter14: Heat And Heat Transfer Methods

Section: Chapter Questions

Problem 52PE: During heavy exercise, the body pumps 2.00 L of blood per minute to the surface, where it is cooled...

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Concept explainers

Energy transfer

The flow of energy from one region to another region is referred to as energy transfer. Since energy is quantitative; it must be transferred to a body or a material to work or to heat the system.

Molar Specific Heat

Heat capacity is the amount of heat energy absorbed or released by a chemical substance per the change in temperature of that substance. The change in heat is also called enthalpy. The SI unit of heat capacity is Joules per Kelvin, which is (J K-1)

Thermal Properties of Matter

Thermal energy is described as one of the form of heat energy which flows from one body of higher temperature to the other with the lower temperature when these two bodies are placed in contact to each other. Heat is described as the form of energy which is transferred between the two systems or in between the systems and their surrounding by the virtue of difference in temperature. Calorimetry is that branch of science which helps in measuring the changes which are taking place in the heat energy of a given body.

Question

A 3-m-internal-diameter spherical tank made of
1-cm-thick stainless steel (k = 15 W/m. K) is used to store
iced water at 0°C. The tank is located outdoors at 30°C and
is subjected to winds at 25 km/h. Assuming the entire steel
tank to be at 0°C and thus its thermal resistance to be negligible,
determine (a) the rate of heat transfer to the iced
water in the tank and (b) the amount of ice at 0°C that
melts during a 24-h period. The heat of fusion of water at
atmospheric pressure is hif = 333.7 kJ/kg. Disregard any
heat transfer by radiation.

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