Problem 1
- Test level
- Multiple choice
- No calculator
- 4 pts
Two equilibrium ideal monatomic gases are at the same positive temperature. Each heavy atom has mass and each light atom has mass . What are the ratio and the ratio of average translational kinetic energies per atom, light to heavy?
Answer
and , respectively.
Full solution
The same temperature gives equal average translational kinetic energies per atom.
Set .
Take the positive square root because root-mean-square speeds are nonnegative. The speed ratio is 3, but the energy ratio remains 1.
Where students lose points
A factor of nine in mass produces a factor of three in the root-mean-square speed, not nine.

