A pot containing $1\mathrm{.}001\mathrm{.}00$liter of water, initially at $20\mathrm{.}020\mathrm{.}0$C$,$ is placed on a $905905$W electric heating element. How much heat must be supplied to the water to bring it to a boil? How much heat is necessary to boil all the water away? The latent heat of vaporization for water is $539539$cal$/$g$.$ What is the minimum time required to boil all the water away?