What is the change in entropy for of ice initially at that melts to water and warms to the temperature of the atmosphere at ?

Latent heat of fusion for water:

Specific heat of water:

Specific heat of ice:

A steel sword is cooled from to by dipping it in of water that is at .

If the specific heat of the steel is and the specific heat of water is , what will be the temperature of the water after the steel is cooled?

A steel beam is long at a temperature of . On a hot day, the temperature reaches . What is the change in the beam's length due to thermal expansion given that the thermal expansion coefficient for steel is