The melting point of aluminum is 660°C, its latent heat of fusion is 4.00 × 105 J/kg, and its specific heat is 900 J/kg • K. If 300 kJ of heat are added to 442 g of aluminum at 100°C, what is the final state of the system? That is, how much is liquid, how much is solid, and what is its temperature?

(Please write answer in essay format)

1 answer

Sum of heats gained is zero. Let M be the mass that is still solid.

heat added+heatmelting+heattoinceasetemp=0
300E3+(.442*900(660-100))+(.442-M)4E5=0

all are in that equation as Joules, Kg.
so solve the equation for M, the mass which is still solid at the melting point.