Same chapter3 marksDifficulty: Medium
Calculate the root mean square speed of oxygen molecules at 300 K. Take R = 8.31 J mol−1 K−1 and M = 0.032 kg mol−1.
Behaviour of Perfect Gases and Kinetic Theory of Gases
3 marksDifficulty: Medium
State the law of equipartition of energy and give the degrees of freedom of a monatomic and a diatomic gas molecule.
Original Khojo Papers practice question — not from a past board paper.
Answer
The law states that the energy of a system in thermal equilibrium is shared equally among all its degrees of freedom, each contributing ½kT per molecule. A monatomic molecule has three translational degrees of freedom; a diatomic molecule has three translational and two rotational, that is five at ordinary temperatures.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
The ratio of the specific heats follows directly from the number of degrees of freedom.
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