Working with complex sound waves.

The range of human hearing is roughly from twenty hertz to twenty kilohertz. Based on these limits and a value of 343 m/s for the speed of sound, what are the lengths of the longest and shortest pipes (open at both ends and producing sound at their fundamental frequencies) that you expect to find in a pipe?

Working with heat phase change : Latent Heat.

A 10.0-kg block of ice has a temperature of -10.0 degrees C. The pressure is one atmosphere. The block absorbs 4.11 X 10^6 J of heat. What is the final temperature of the liquid water?

Conduction

A skier wears a jacket filled with goose down that is 15mm thick. Another skier wears a wool sweater that is 5.0mm thick. Both have the same area. Assuming the temperature difference between the inner and the outer surfaces of each garment is the same, calculate the ratio (wool/goose down) of the heat lost due to conduction during the same time interval.

Working with the ideal gas law.

At the start of a trip, a driver adjusts the absolute pressure in her tires to be 2.81 x 10^5 Pa when the outdoor temperature is 284 K. At the end of the trip she measures the pressure to be 3.01 x 10^5 Pa. Ignoring the expansion of the tires, find the air temperature inside the tires at the end of the trip.

First law of thermodynamics : Calculating changes in internal energy of a system and the environment.

A system does 164 J of work on its environment and gains 77 J of heat in the process. Find the change in the internal energy of (a) the system and (b) the environment.