Question

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

Answer 1

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