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On a hot summer day,the temperature is 40.0°C and the pressure is 1.01 × 105 Pa.Let us model the air as all nitrogen of molecular mass 28.0 g/mol having molecules of diameter that are moving at their root-mean-square speed.Avogadro's number is
molecules/mol,the ideal gas constant is 8.31 J/mol • K,and the Boltzmann constant is
.Calculate reasonable estimates for
(a)the root-mean-square speed of the nitrogen molecules.
(b)the average distance a typical molecule travels between collisions.
(c)the average time a molecule travels between collisions,assuming that the molecules are moving at their root-mean-square speeds.
(d)the number of collisions an average molecule undergoes per second.
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