Question

Calculate the De Broglie wavelength of a bucky-ball, a spherical molecule with molecular formula of C60, traveling at a velocity of 25.0 m/s. The molar mass of C60 is 720.66 g/mol.

Answer 1

According to de Broglie wave length, λ = h/mv
Where

h = plank's constant = 6.625x 10^-34 Js

λ = wave length = ?

m = mass of object = 720.66 g x10^-3 kg/g = 720.66x10^-3 kg

v = velocity of object = 25.0 m/s

Plug the values we get   λ = h / (v m)

                                       = ( 6.625x 10^-34 Js) / (25.0 (m/s)x 720.66x10^-3 kg)

                                         = 3.68x10^-35 m

Therefore the wavelength of bucky-ball is 3.68x10^-35 m

Therefore the maximum mass of object is 2.35x10^-21 kg