A 12.99g sample of copper that is at 7.0Celsius is added to 1.00g of hot water is initially at 93.2 Celsius.
a. From the first law of thermodynamics, what is the equation relating the sum of the heats of the two components?
b. Algebraically substitute in the symbols for the specific heat capacities for the copper and water (Cs,Cu, and Cs,H2O), the symbols for masses (mCu and mH2O), and the symbols for the temperature change (Tf, Ti, Cu, and Ti,H2O).
c. Solve the algebraic problem in (b) for Tf, the final temperature of water.
d. Substitute in the values to determine the final temperature of the metal. Hint: its the same for both water and copper.