1. A vat of 12.0 kg of molten copper at its boiling point of 1083C is placed...

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1. A vat of 12.0 kg of molten copper at its boiling point of 1083C is placed in a room with dimensions 3.00 m by 9.00 m by 3.00 m with an initial temperature of 20.0C. A) If air has a specific heat of 1006 J/(kg C) and a density of 1.204 kg/m³, what is the air temperature once the copper solidifies? B) What is the final temperature of the air in the room and the solid copper?

2. An aluminum rod with a length of 0.365 m is transferring heat at a rate of 500 W. A) What is its radius if the temperature at one end is 11C and at the other end it is 120C? B) Explain whether the radius would be bigger or smaller if the rod were made from brass for the same conditions.

3. A shower is 11.0 m from the hot water heater. The copper pipe has a radius of 1.11 cm and a thickness of 2.3 mm. A) If the hot water is at a temperature of 50C and the room temperature is 18C, what is the rate of heat loss through the pipe? B) How much energy is lost for a 10 minute shower?

4. A paper coffee cup has dimensions of radius = 0.040 m, height = 0.080 m, and thickness = 0.5 10^-3 m. It holds 0.100 kg of coffee (mostly water). The initial temperature of the coffee is 100C. Room temperature is 20C. Use an emissivity of 1.0. A) What is the rate of heat loss through radiation from the top surface of the coffee? B) How much heat is lost in 10.0 min? C) What is the temperature of the coffee after 10.0 min?

Write down the key words or phrases for the following problems (5&6). Make sure you list all needed starting equations. Do not fully solve the problem. Do not solve the equation for the missing variable.

5. A mass m = 0.054 kg of benzene vapor at its boiling point of 80.1C is to be condensed by mixing the vapor with water at 41C. What is the minimum mass of water required to condense all of the benzene vapor? Assume that the mixing and condensation take place in a perfectly insulating container.

6. One end of an iron poker is placed in a fire where the temperature is 502C, and the other end is kept at a temperature of 26C. The poker is 1.2 m long and has a radius of 5.0 103 m. Ignoring the heat lost along the length of the poker, find the amount of heat conducted from one end of the poker to the other in 5.0 s.