Download JEE Physics Concept Summaries: JEE Physics Kinetic Theory of Gases Notes Set 03
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Ideal Gas Equation
1. \(PV = nRT = NkT\). So \(PV/kT\) is the number of molecules.
2. For a given mass, \(PV = (m/M)RT\), so at equal mass the slope of PV against T is inversely proportional to the molar mass.
3. Gases in a closed ring separated by a free stopper have equal pressure and temperature, so their volumes are in the ratio of their moles.
Kinetic Theory
| Quantity | Expression |
|---|---|
| rms speed | \(v = \sqrt{3kT/m} = \sqrt{3RT/M}\), proportional to \(\sqrt{T}\) |
| Mean translational energy per molecule | \(\tfrac{3}{2}kT\) |
| Energy per degree of freedom | \(\tfrac{1}{2}kT\) |
| Rigid diatomic molecule | 3 translational and 2 rotational, so total \(\tfrac{5}{2}kT\) and rotational \(kT\) |
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