A disk $40$ cm in diameter and $5$ cm thick is to be cast of pure aluminum in an open mold

casting operation. The melting temperature of aluminum $=660\backslash$deg C$,$ and the pouring

temperature will be $800\backslash$deg C$.$ Assume that the amount of aluminum heated will be $5\%$ more

than what is needed to fill the mold cavity.

Compute the amount of heat that must be added to the metal to heat it to the pouring

temperature, starting from a room temperature of $25\backslash$deg C$.$ The heat of fusion of aluminum

$=389\mathrm{.}3$ J$/$g$.$ Assume the specific heat has the same value of $897$ J$/($g$-\backslash$deg C$)$ for solid and

molten aluminum.