One end of an insulated metal rod is maintained at 100 ∘C and the other end is maintained at 0.00∘C by ice–water mixture. The rod has a length of 55.0 cm and a cross-sectional area of 1.00 cm2. The heat conducted by the rod melts a mass of 5.00 g of ice in a time of 10.0 min. Find the thermal conductivity k of the metal?

153.0815W/m.K

Explanation:

Heat transferred in phase is changed is expressed as:

(m-mass, Q-heat, L-Latent heat of phase change)

Latent heat is the heat required to change the phase of 1kg of the material.

#The rate of heat flow(by conduction)  per unit time:

#Heat flowing through melting ice.

To solve for k:

The thermal conductivity k of the metal is 153.0815W/m.K

v=ir = 3x15 =45 v