$1\mathrm{.}11$ The $8-$mm$-$thick bottom of a $220-$mm$-$diameter pan may be made from aluminum $($k $=240$ W$/$m $$ K$)$ or copper

$1$ length, P$,$ required to maintain the cylinder surface temperature at $300\backslash$deg C for different free stream veloci$-$ ties V of the air. The results are as follows:

$($k $=390$ W$/$m $$ K$).$ When used to boil water,

face of the bottom exposed to the water is nominally at $110\backslash$deg C$.$ If heat is transferred from the stove to the pan at a rate of $600$ W$,$ what is the temperature of the surface in contact with the stove for each of the two materials?