Behaviour of Perfect Gases and Kinetic Theory of Gases
ICSE · Class 11 · Physics
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1. Perfect Gas and Ideal Gas Equation
- A perfect gas is an imaginary gas that obeys Boyle's law, Charles' law, and the law of pressure under all conditions.
- Its molecules are infinitesimally small and there is no intermolecular attraction.
- Because there is no attraction between molecules, a perfect gas cannot be converted into liquid or solid state.
2. Kinetic Theory of Gases and Pressure
- Gas molecules are very small and are far apart from one another.
- They move rapidly in straight lines in all possible directions.
- They collide constantly with one another and with the walls of the vessel.
3. rms Speed, Temperature, and Molecular Weight
- The rms speed of gas molecules is v_rms = √(v̄²).
- It can also be written as v_rms = √(3P/ρ).
- For 1 mole, v_rms = √(3RT/M).
4. Gas Laws from Kinetic Theory
- Boyle's law follows from pressure being proportional to mean square speed divided by volume at constant temperature.
- Charles' law follows from the fact that volume is proportional to absolute temperature at constant pressure.
- Avogadro's law says equal volumes of all gases at the same temperature and pressure contain equal numbers of molecules.
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