Question

ln a hypothetical element , two energy levels are separated by an engery of 282kjmol. what wavelength of light (in nm) is involved for an electron to change between these two levels?

Answer 1

Answer:

428 nm

Explanation:

E= h.c/λ

where 'h' is planck's constant

h=6.626*10^-34 Js

c=3*10^8 m/s

we will need avogadro number i.e. 6.022*10^23

Energy given E'=282 kJ/mol

The given energy is for one mole

Energy for one atom will be E=E'/avogadro number

E= 4.68*10^-19

$wavelength = h.c/E\\= 6.626*10^-34*3*10^8/(4.68*10^-19)\\=4.248*10^{-7}\\=428*10^{-9} m\\428 nm$