Thermodynamics unit test
A test on this unit alone, marked as a percentage and a letter grade — for the test your class is actually sitting, rather than for May. Answer everything, then submit once: seeing the answer to question 3 before attempting question 4 makes the final percentage meaningless.
Heat vs temperature vs internal energy
Ideal gas law
RMS speed
Degrees of freedom qualitatively
Thermal equilibrium in mixing problems
Entropy and probability
Conduction, convection, radiation
Thermal expansion
Isothermal, isobaric, isochoric, adiabatic
Latent heat
Internal energy of an ideal gas
PV diagram work
Short answer 1. Define or explain: Kinetic theory and temperature
3 ptsShort answer 2. Define or explain: Ideal gas process on a PV diagram
3 ptsShort answer 3. Define or explain: Why a PV cycle's enclosed area is net work
3 ptsShort answer 4. Define or explain: Temperature vs thermal energy
3 ptsFree response
10 ptsA heat engine operates between a hot reservoir at 500 K and a cold reservoir at 300 K. In each cycle it absorbs 600 J from the hot reservoir and exhausts 400 J to the cold reservoir.
Calculate the work output per cycle and the efficiency of the engine.
Calculate the maximum possible (Carnot) efficiency for these reservoirs and state whether the engine’s performance is physically allowed.
During one leg of the cycle the working gas absorbs 500 J of heat while doing 350 J of work on the piston. Calculate the change in internal energy and state what happens to the gas temperature.
Use the second law to explain why the exhaust heat cannot be reduced to zero.
Calculate the total entropy change of the two reservoirs per cycle and explain what its sign shows.