How much Ice is melted per second?

Question

A silver bar of length 30 cm and cross sectional area 1.0 cm^2 is used to transfer heat from a 100 degrees C reservoir to a 0 degree C block of ice. How much ice is melted per second? (For silver, k = 427 (SI units). For ice, Lf = 334 000 J/kg.)

Answer 1

The heat transfer rate is:
dQ/dt = 427*1.0x10^-4*100/0.3 = 14.23 J/s
Gram of ice to be melted per second is:
14.23/334 = 0.043 (g) (answer)