(a) Find the de Broglie wavelength of a nitrogen molecule in air at room temperature (293 K). (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 temper- ature? (c) Estimate the temperature at which quantum effects might become important.

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-. (a) Find the de Broglie wavelength of a nitrogen molecule
in air at room temperature (293 K). (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 temper-
ature? (c) Estimate the temperature at which quantum
effects might become important.
Transcribed Image Text:-. (a) Find the de Broglie wavelength of a nitrogen molecule in air at room temperature (293 K). (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 temper- ature? (c) Estimate the temperature at which quantum effects might become important.
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