Question

In hypothetical element, two energy levels are separated by an energy of 282 kj/mol. what wavelength of light (in nm) is involved for an electron to change between these two levels?
​

Answer 1

Answer:

$4.23*10^2 nm = 423 nm$

Explanation:

$E={\frac {hc}{\lambda }}$

$h=6.62607015*10^{-34}J*s\\c=299 792 458 m / s\\h*c=1.98644568*10^{-25}J*m$

282000 j/mol *1 mol/6*10^(23) = 4.7*10^(-19) J for one electron

$\lambda={\frac {hc}{E }}=\frac{1.98644568*10^{-25}J*m}{4.7*10^{-19}J} =\\\\=4.22648017*10^{-7} m = 4.22648017*10^{-7} m*\frac{10^9 nm}{1 m} =\\\\4.23*10^2 nm = 423 nm$