Answer:
The answer is below
Explanation:
Outer diameter = Do = 20 cm = 0.2 m
Thickness = L = 0.4 cm = 0.004 m
Diameter = D =outer diameter - thickness = 0.2 - 0.004 = 0.196 m
Area = πD² = π × (0.196)² = 0.1207 m²
The thermal conductivity of iron (k) is given as 80.2 W/m.K
The heat transfer rate is given as:
ΔT = 5°C - 0°C = 5°C
h = 333.7 kJ/kg = 333.7 * 10³ J/kg
[tex]\dot{Q}=kA\frac{\Delta T}{L}=80.2*0.1207*\frac{5}{0.004} =12100=12.1\ kW[/tex]
The rate at which the ice melts is given as:
[tex]\dot{m}_{melt}=\frac{\dot{Q}}{h} =\frac{12100}{333.7*10^3}=0.036\ kg/s[/tex]
