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.oC 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 3S.OC.

t. An aluminum ring rotates at 5 m/s when an engine operates at temperature of 15oC, at which point the
aluminum ring has a Scm inner diameter and a S.Scm 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?

l. An ice cube that has a mass of 150.0 g and that has a starting temperature of -1oC 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?

L. A Carnot engine moves a piston which applies SN of force to a rotating disc by moving a piston 0.25cm for
a total of SW of power. If the high temperature reservoir is 10oK, what must the temperature of the low
temperature reservoir be?