These UV photons can break chemical bonds in your skin to cause sunburn—a form of radiation damage. If the 305 nm radiation provides exactly the energy to break an average chemical bond in the skin, estimate the average energy of these bonds in kJ/mol.

Question

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DeniceSandidge DeniceSandidge · Answer 1 · 2019-09-14T11:47:36+02:00

Answer:

energy = 391.902 kJ /mol

Explanation:

given data

wavelength = 305 nm = 305 ×[tex]10^{-9}[/tex] m

to find out

average energy

solution

we know speed of light is 3 ×[tex]10^{8}[/tex] m/s

so we find frequency here first by speed of light formyla

speed = wavelength × frequency

3 ×[tex]10^{8}[/tex] = 305 ×[tex]10^{-9}[/tex] × frequency

frequency = 9.8360 ×[tex]10^{14}[/tex] [tex]s^{-1}[/tex]

so energy is

energy = hf

here h = 6.62 ×[tex]10^{-34}[/tex] J-s

so

energy = 6.62 ×[tex]10^{-34}[/tex] × 9.8360 ×[tex]10^{14}[/tex]

energy = 6.51 ×[tex]10^{-14}[/tex] J

so

energy = 6.51 ×[tex]10^{-14}[/tex] × [tex]\frac{6.02*10^23}{1000}[/tex] kJ/mol

energy = 391.902 kJ /mol