Problems 4-6
Problem #4
A 1kg block of plastic is heated to 100 °C and tossed into 1 kg of water in an insulated cup that is at 20 °C. After a while, the two come into equilibrium and the temperture is 40 °C. Which has the higher heat capacity, the plastic or water?
Problem #5
An Einstein solid contains 1 mol of atoms. Calculate the entropy of a state with
vibrational quanta/oscillator (there are 3 Einstein oscillators/atom).
Problem #6
Two glass bulbs of the same volume contains dry air. They are connected by a thin tube of negligible volume. Initially the temperature T is the same on both sides. The left bulb is then kept at temperature T while the right bulb is heated. Assume that since the bulbs are connected the two sides always have the same pressure. To what temperature must the temperature on the right side be increased for the pressure inside the assembly to double.