A hollow glass sphere of wall thickness 3 mm and external radius 15 cm is filled with ice and placed in boiling water at 100°C. The thermal conductivity of glass is 0.8 W m⁻¹ K⁻¹ and L of ice is 3.36

Question

A hollow glass sphere of wall thickness 3 mm and external radius 15 cm is filled with ice and placed in boiling water at 100°C. The thermal conductivity of glass is 0.8 W m⁻¹ K⁻¹ and L of ice is 3.36 × 1 0 5 J/kg. Find the rate at which the ice melts, in g/s.

TestHub · Accepted Answer

P = r 2 ​ − r 1 ​ 4 πk r 1 ​ r 2 ​ Δ T ​ = 0.003 4 π ( 0.8 ) ( 0.147 ) ( 0.15 ) ( 100 ) ​ = 7389 W. m ˙ = 3.36 × 1 0 5 7389 ​ = 22.0 g/s.

Physics - Heat & Thermo Question with Solution | TestHub

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