Question

• A hollow spherical iron container whose outer diameter is 40 cm and thickness is 0.4 cm is filled with iced water at 0°C. If the outer surface temperature is 3°C, determine the approximate rate of heat loss from the sphere, and the rate at which ice melts in the container.​

Answer 1

Answer:

A hollow spherical iron container whose outer diameter is 40mathrmcm and thickness is 0.4mathrmcm is filled with iced water at 0circmathrmC. If the outer surface temperature is 3circmathrmC, determine the approximate rate of heat loss from the sphere, and the rate at which ice melts in the container.

Explanation:

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Answer 2

Heat loss = 30,195 W = 30.195 kJ/s

rate at ice melted =  = 0.090 kg/s

Explanation:

Thermal conductivity of iron = 80.2W/m °C , Thickness L = 0.4cm = 0.004 m

The heat of fusion of water = 333.7 kJ/kg , D = 40cm = 0.4m  

Area = πD² = 3.14 ×(0.4)² = 0.502 m²

Q = kA ΔT/L

   = 80.2 × 0.502 × (3 - 0)/0.004

   = 120.78/0.004

   = 30,195 W = 30.195 kJ/s

Rate at which ice melted = Q/ h fusion

                                          = 30.195/333.7

                                          = 0.090 kg/s