HC$-2$ A pot holds $2\mathrm{.}95$ kg of liquid water at $100\mathrm{.}0$ C $($at the boiling point$).$ The bottom of the potis circular, with a radius of $12\mathrm{.}5$ cm and a thickness of $1\mathrm{.}00$ cm$.$ The pot is made of stainlesssteel, which has a thermal conductivity of $15\mathrm{.}1$ W m$1$ K$1.$ The pot is put to a flame so that thetemperature directly underneath the pot is $145\mathrm{.}0$ 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 isonly heat conduction through the bottom of the pot, and ignore any other type of heatflow to the water. The latent heat of vaporization of water is $2,260,000$ J kg$1$