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

(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 h_if = 333.7 kJ/kg. Disregard any heat transfer by radiation.

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Troom = 30°C 25 km/h Iced water 1 cm -D, = 3 m. Tin = 0°C