On a Hot Summer Day,the Temperature Is 40

question 31

Essay

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
0.500 nm that are moving at their root-mean-square speed.Avogadro's number is
6.02 × 10²³ molecules/mol,the ideal gas constant is 8.31 J/mol ∙ K,and the Boltzmann constant is 1.38 × 10^-23 J/K.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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