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Chapter 7: Homework 1
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An insulated container contains 3 kg of water (specific heat \( 4.2 \mathrm{~J} / \mathrm{g} \) ) at a temperature of \( 20^{\circ} \mathrm{C} \). Two metal blocks are placed in the water. Block 1 has a mass of 12 kg , a specific heat of \( 1.3 \mathrm{~J} / \mathrm{g} \), and a temperature of \( 50^{\circ} \mathrm{C} \). Block 2 has a mass of 8 kg , a specific heat of \( 0.6 \mathrm{~J} / \mathrm{g} \), and a temperature of \( 35^{\circ} \mathrm{C} \). The container is then closed. After a time long enough for all three objects, the water and the two blocks, to reach the same temperature, what is this final temperature?
\[
T_{f}=
\]
\( i \)
\[
{ }^{\circ} \mathrm{C}
\]
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Hint
Assistance Used
Use the Energy Principle. Remember that if the specific heat is on a per-gram basis, you need to specify masses in grams.
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