6. (a) Find the de Broglie wavelength of a nitrogen molecule in
air at room temperature
(293K). (b) The density of air at room temperature and atmospheric
pressure is 1.292
kg/m3. Find the average distance between air molecules at this
temperature and
compare with the de Broglie wavelength. What do you conclude about
the importance
of quantum effects in air at room temperature? (c) Estimate the
temperature at which
quantum effects might become important.
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