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The mean free path of a molecule in a gas is 300 nm. What will the mean free path be if the gas temperature is doubled at (a) constant volume and (b) constant pressure? | Numerade
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SOLVED:At constant pressure, the mean free path (λ) of a gas molecule is directly proportional to temperature. At constant temperature, λis inversely proportional to pressure. If you compare two different gas molecules at the same temperature and pressure, λis inversely proportional to the square of the diameter of the gas molecules. Put these facts together to create a formula for the mean free path of a gas molecule with a proportionality constant (call it R mfp , like the ideal-gas constant)
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