Question: Hydrogen gas evaporates into space even though its rms speed is less than one-fifth of the gravitational escape speed. This is because the distribution of

Hydrogen gas evaporates into space even though its rms speed is less than one-fifth of the gravitational escape speed. This is because the distribution of molecular speeds at equilibrium (see Figure 17-27) shows that some of the molecules do have speeds that exceed the escape speed. To what temperature must the atmosphere be heated for the air around us to have an rms speed that is one-fifth of the gravitational escape speed? Treat the air as having a molecular mass of 0.029 kg/mol?
Figure 17-27,

, 500 1000 1500 2000 2500 3000 3500 Speed (m/s) Relativeprobability

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