A hollow glass sphere whose thickness is 2 mm and external radius 10 cm is filled with ice and is placed in a bath containing boiling water at 100°C. Calculate the rate at which the ice melts. Thermal

Question

A hollow glass sphere whose thickness is 2 mm and external radius 10 cm is filled with ice and is placed in a bath containing boiling water at 100°C. Calculate the rate at which the ice melts. Thermal conductivity of glass = 1.1 J s⁻¹ m⁻¹ K⁻¹ and L of ice = 336 × 1 0 3 J kg⁻¹.

TestHub · Accepted Answer

Radial conduction through a spherical shell: P = r 2 ​ − r 1 ​ 4 πk r 1 ​ r 2 ​ Δ T ​ = 0.002 4 π ( 1.1 ) ( 0.098 ) ( 0.1 ) ( 100 ) ​ = 6773 W. m ˙ = L P ​ = 0.020 kg/s.

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