A research group recently made an interesting discovery, while studying laser interactions with molecular gases. They found that nitrous oxide molecules (mass 44.013 g per mole) can reach temperatures exceeding 1,648 degrees Celsius after a interacting with a few closely-spaced (in time) laser pulses. At this temperature, what is the rms speed (in m/s) of a nitrous oxide molecule?

8. The average energy of a mole of Einstein solid is given by: ӨЕ 3R0E Ē = 3R + 2 ӨЕ ет — 1 where E is the Einstein temperature and R the gas constant. Obtain expressions for the average energy at the limits of zero and infinite temperature and comment on your results.

A container of nitrogen molecules is at a temperature of 37.0°C. What is the mass of a nitrogen molecule in atomic mass units? [Note: nitrogen is a diatomic gas.] а. b. What is the mass of a nitrogen molecule in kilograms? C. What is the average translational kinetic energy of the nitrogen molecules? d. What is the rms speed of the nitrogen molecules? е. What is the average rotational energy of a nitrogen molecule?

At what temperature would the rms speed of hydrogen atoms equal the following speeds? (Note: The mass of a hydrogen atom is 1.66 x 10-27 kg.) (a) the escape speed from Earth, 1.12 x 104 m/s K (b) the escape speed from the Moon, 2.37 x 10³ m/s K