Question:
What is the de Broglie wavelength of a nitrogen molecule in air at 300 K? Assume that the molecule is moving with the root-meansquare speed of molecules at this temperature. (Atomic mass of nitrogen = 14.0076 u)
Answer:
Temperature of the nitrogen molecule, T= 300 K
Atomic mass of nitrogen = 14.0076 u
Hence, mass of the nitrogen molecule, m= 2 × 14.0076 = 28.0152 u
But 1 u =
kg
∴m=
kg
Planck’s constant, h=
Js
Boltzmann constant, k=
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