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

question 208

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.

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Definitions:

Catastrophe Bonds

Insurance-linked securities issued by insurance companies to transfer major risks from the issuer to investors, typically used for natural disaster risks.

Asset-Backed Bonds

Bonds that are secured by a pool of assets, such as loans or receivables, which generate the cash flow to pay bondholders.

TIPS

Treasury Inflation-Protected Securities, a type of U.S. Treasury bond designed to help investors protect against inflation.

Maturity

The date on which the principal amount of a financial instrument, such as a bond or loan, becomes due and is repaid to the investor.