Answer to Question #161950 in Organic Chemistry for Shun

Question

3. De Broglie proposed that the wave-particle duality of electrons was analogous to that of

photons of light. Show the two short derivations that relate wavelength and mass.

Then answer the following question: An atom of a particular element is traveling at 1% of

the speed of light. The de Broglie wavelength is found to be 1.11 x 10–14m. Which element

is it?

h = 6.63 x 10-34 J s

c = 3.0 x 108 m/s

N = 6.023 x 1023 atoms/mol

Answer 1

Debroglie wavelength = h / m . V

m = mass = h / speed .Debroglie wavelength.

mass =

6.626 × 10 ^-34 / 3 × 10⁸ × 0.01 × 1.11× 10^-14

Calculte m then find mass of element.