Imagine that you have two pieces of different types of metal of the same mass. You then perform the following experiment. You take 500 ml of water in a well-insulated beaker with a diameter of 75 mm at 20.0+/-0.05°C. The two masses are heated to 100 +/- 0.05°C. Metal A is place in the water container. After waiting some time, you find that the temperature of the system stabilizes at 24.8+/- 0.05 °C. You then add metal B to the system and the final temperature is 26.7+/-0.05°C. You also observe that when you place metal B in the water, the water level rises by 3.7 +/- 0.1 mm.
2. Without any numeric solutions, which metal has the higher heat capacity? Which has the higher specific heat? Explain.
3. Again, without any numeric solutions, which metal has a higher density? Explain.
4. What are the metals? You will need to explicitly write out the expressions for heat exchange for each situation. You will have to find a solution as a ratio, then hunt for similar ratios in tables.
5. What is the mass of each of the two pieces of metal?
6. How much does the water rise when you add metal A?
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