What is de broglie wavelength of an atom at absolute temperature ?
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Let the temprature be T in Kelvin (K)
Also
Boltzmann constant (k) = 1.38 * 10^-23 J Mol ^-1 K^-1
Now
Let us calculate kinetic energy of molecule at absolute temprature
T is given by E = 3/2 kT
Now
wavelength = h/root 2mE = h/ root 3mkT
where h = 6.6 X 10^-34
So wavelength = 1.45 X 10^-10 m
Also
Boltzmann constant (k) = 1.38 * 10^-23 J Mol ^-1 K^-1
Now
Let us calculate kinetic energy of molecule at absolute temprature
T is given by E = 3/2 kT
Now
wavelength = h/root 2mE = h/ root 3mkT
where h = 6.6 X 10^-34
So wavelength = 1.45 X 10^-10 m
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