1. Calculate the specific heat of an unknown metal allow from the following data. An insulating container made of tungsten has a mass of 8.0 kg and contains 10 kg of water, both materials are at 16.0C initially. A 2.4 kg piece of the unknown metal allow initially at a temperature of 425C is dropped into the water, and the entire system reaches thermal equilibrium at 35.0C.

2. An aluminum ring rotates at 5 m/s when an engine operates at temperature of 150C, at which point the aluminum ring has a 5cm inner diameter and a 5.5cm outer diameter. The engine is 25C when the engine is not running. When the engine starts, what is the rotational kinetic energy of the ring at the cold temperature?

3. An ice cube that has a mass of 150.0 g and that has a starting temperature of -10C melts completely into a very large bucket of water whose temperature is 4C and stays 4C. What is the entropy change for the molecules contained in the ice cube? And for the bucket of water? The whole system?

4. A Carnot engine moves a piston which applies 5N of force to a rotating disc by moving a piston 0.25cm for a total of 5W of power. If the high temperature reservoir is 100K, what must the temperature of the low temperature reservoir be?