An 8-m-internal-diameter spherical tank made of1.5-cm-thick stainless steel (k = 15 W/m·K) is used to storeiced water at 0°C. The tank is located in a room whose temperatureis 25°C. The walls of the room are also at 25°C.The outer surface of the tank is black (emissivity « = 1),and heat transfer between the outer surface of the tank andthe surroundings is by natural convection and radiation. Theconvection heat transfer coefficients at the inner and theouter surfaces of the tank are 80 W/m2·K and 10 W/m2·K,respectively. Determine (a) the rate of heat transfer to theiced water in the tank and (b) the amount of ice at 0°C thatmelts during a 24-h period. The heat of fusion of water atatmospheric pressure is hif = 333.7 kJ/kg.

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Chapter1: Units, Trigonometry. And Vectors
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An 8-m-internal-diameter spherical tank made of
1.5-cm-thick stainless steel (k = 15 W/m·K) is used to store
iced water at 0°C. The tank is located in a room whose temperature
is 25°C. The walls of the room are also at 25°C.
The outer surface of the tank is black (emissivity « = 1),
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·K and 10 W/m2·K,
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 24-h period. The heat of fusion of water at
atmospheric pressure is hif = 333.7 kJ/kg.

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