Use the de Broglie relationship to determine the wavelengths of the following objects.
an ozone (O3) molecule in the upper atmosphere moving at 540 m/s
We have de-Broglie relation , = h / m V
Where, is a wavelength
associated with moving object,
m is a mass of object ,
V is a velocity of object.
Here object is one ozone molecule.
Molar mass of O 3 = 3 x 16.00 = 48.00 g / mol
From Avogadro's Law, we can write
6.022 x 10 23 O 3 molecules
40.00 g
One O
3 molecules
40.00 / 6.022 x
10 23 g
6.642 x 10
-23 g
6.642 x 10
-26 kg
Therefore, = 6.626 x 10
-34 J s / ( 6.642 x 10 -26 kg ) x
( 540 m / s )
= 6.626 x 10 -34 / 3.587 x 10 -23
= 1.847 x 10 -11 m
ANSWER : Wavelength = 1.847 x 10 -11 m
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