Question

An atom requires 6.24 × 10−19J to remove its furthest electron in the gas phase. What is the maximum wavelength of electromagnetic radiation that will result in ionization? Report your numerical answer in units of nm. Use significant figures.

Answer 1

Report your numerical answer in units of nm. Use significant figur

Answer 2

Solution:
1. Determine the frequency:

E=hv
6.24 x 10-19 J = (6.626 x 10-32 Js) x (v)
v = 9.417 x 10^14 s-1

2. Determine the wavelength:

λv = c
(λ) x (9.417 x 10^14 s-1) = 3.00 x 10^8 m/s
λ = 3.18 x 10-7 m

Wavelength (λ) = 318nm