Q2/ A 4-m-internal-diameter spherical tank made of 1.75-cm-thick stainless steel (k 15 W/m °C) is used to store iced water at 0°C. The tank is located in a room whose temperature is 35°C. The walls of the room are also at 35°C. The outer surface of the tank is black, and heat transfer between the outer surface of the tank and the surroundings is by natural convection and radiation. The convection heat transfer coefficients at the inner and the outer surfaces of the tank are 80 W/m2· C and 10 W/m2 °C, respectively. 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 l-h period. The heat of fusion of water at atmospheric pressure is hif 334 kJ/kg.

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Chapter1: Units, Trigonometry. And Vectors
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Q2/ A 4-m-internal-diameter spherical tank made of 1.75-em-thick
stainless steel (k 15 W/m °C) is used to store iced water at 0°C. The
tank is located in a room whose temperature is 35°C. The walls of the
room are also at 35°C. The outer surface of the tank is black, and heat
transfer between the outer surface of the tank and the surroundings is by
natural convection and radiation. The convection heat transfer
coefficients at the inner and the outer surfaces of the tank are 80 W/m2
°C and 10 W/m2 °C, respectively. 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 1-h period. The heat of fusion of water at
atmospheric pressure is hif 334 kJ/kg.
Transcribed Image Text:Q2/ A 4-m-internal-diameter spherical tank made of 1.75-em-thick stainless steel (k 15 W/m °C) is used to store iced water at 0°C. The tank is located in a room whose temperature is 35°C. The walls of the room are also at 35°C. The outer surface of the tank is black, and heat transfer between the outer surface of the tank and the surroundings is by natural convection and radiation. The convection heat transfer coefficients at the inner and the outer surfaces of the tank are 80 W/m2 °C and 10 W/m2 °C, respectively. 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 1-h period. The heat of fusion of water at atmospheric pressure is hif 334 kJ/kg.
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