A pot holds 2.95 kg of liquid water at 100.0 °C (at the boiling point). The bottom of the pot is circular, with a radius of 12.5 cm and a thickness of 1.00 cm. The pot is made of stainless steel, which has a thermal conductivity of 15.1 W m-1 K-1, The pot is put to a flame so that the temperature directly underneath the pot is 145.0 °C. (a) Find the rate of heat conduction through the bottom of the pot, in units of Watts (W). (b) How long will it take to boil all of the water away, in minutes? Assume that there is only heat conduction through the bottom of the pot, and ignore any other type of heat flow to the water. The latent heat of vaporization of water is 2,260,000 J kg-!.

A pot holds 2.95 kg of liquid water at 100.0 °C (at the boiling point). The bottom of the pot is circular, with a radius of 12.5 cm and a thickness of 1.00 cm. The pot is made of stainless steel, which has a thermal conductivity of 15.1 W m-1 K-1, The pot is put to a flame so that the temperature directly underneath the pot is 145.0 °C. (a) Find the rate of heat conduction through the bottom of the pot, in units of Watts (W). (b) How long will it take to boil all of the water away, in minutes? Assume that there is only heat conduction through the bottom of the pot, and ignore any other type of heat flow to the water. The latent heat of vaporization of water is 2,260,000 J kg-!.