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?

[tex]\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[/tex]

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AarushiAanand AarushiAanand · Answer 2 · 2022-05-26T15:27:56+02:00

The statement for wavelength of light is 425 nm.

What is wavelength of light?

The spacing between the identical places between two successive waves is determined when the wavelength of a wave is measured.

The Greek letter lambda (λ) is used to represent it. As a result, the wavelength is defined as the distance between one wave's crest or trough and the following wave's crest or trough.

"The distance between the two subsequent crests or troughs of the light wave," is how the wavelength of light is defined.

Given:

Energy = 282 kJ/mol

Conversion of kJ/mol to J/mol

282 kJ/mol = 282000 J/mol

ΔE

= E'/ Avogadro number

= 282×[tex]10^{3}[/tex] J/mol/6.022×[tex]10^{23}[/tex]

= 4.682×[tex]10^{-19}[/tex] J/mol

Now, the wavelength of light is calculated as follows,

ΔE = h.c/λ → λ = h.c/ΔE

Then,

=[tex]=\;\frac{6.626*10^{-34} \;J/mol\;3*10^{8}\;ms^{-1} }{4.682*10^{-19} } \\=\;4.245*10^{7}\;m\\=\;424.5*10^{9}\;m[/tex]

≈ 425 nm

Hence the correct answer is 425 nm.

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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?​

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What is wavelength of light?

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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?