A metallic cylindrical vessel with inner and outer radii and is filled with ice at

PHYSICS · Subjective · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A metallic cylindrical vessel with inner and outer radii

r_1

and

r_2

is filled with ice at

0^\circ\text{C}

. The mass of ice in the cylinder is

m

. The circular ends of the cylinder are sealed with completely adiabatic walls. The vessel is kept in air at

50^\circ\text{C}

. Find the time required for the ice to melt completely. The thermal conductivity of the cylinder is

k

, its length is

l

, and the latent heat of fusion is

L