How Many Grams of Ice at -17°C Must Be Added $70 ^ { \circ } \mathrm { C }$

Short Answer

How many grams of ice at -17°C must be added to 741 grams of water that is initially at a temperature of $70 ^ { \circ } \mathrm { C }$ to produce water at a final temperature of $12 ^ { \circ } \mathrm { C } \text { ? }$ Assume that no heat is lost to the surroundings and that the container has negligible mass. The specific heat of liquid water is 4190 J/kg ∙ C° and of ice is 2000 J/kg ∙ C°. For water the normal melting point is 0°C and the heat of fusion is 334 × 10³ J/kg. The normal boiling point is 100°C and the heat of vaporization is 2.256 × 10⁶ J/kg.