A 12.99 g sample of copper that is at 7.9 °C is added to 1.00 g of hot water is initially at 93.2 °C. 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 symbols for the specific heat capacities for the copper and water (Cs, Cu and Cs,HO), the symbols for masses (mCu and mHO), and the symbols for the temperature change (T, T,Cu, and T). c. Solve the algrebraic problem in (b) for Tf, the final temperature of water. d. Substitute in the values to determine the final temperature of the metal in water. Hint: it’s the same for both water and copper. Answer the questions above on a separate sheet of paper. When completed, upload a scan or photo of your sheet here.

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A 12.99 g sample of copper that is at 7.9 °C is added to 1.00 g of hot water is initially at 93.2 °C.
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 symbols for the specific heat capacities for the copper and water (Cs, Cu and Cs,HO), the symbols for masses (mCu and mHO), and the symbols for the temperature change (T, T,Cu, and T).
c. Solve the algrebraic problem in (b) for Tf, the final temperature of water.
d. Substitute in the values to determine the final temperature of the metal in water. Hint: it’s the same for both water and copper.
Answer the questions above on a separate sheet of paper. When completed, upload a scan or photo of your sheet here.
 
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