Problem Page Question It takes to break a carbon-carbon single bond. Calculate the maximum wavelength of light for which a carbon-carbon single bond could be broken by absorbing a single photon.

Respuesta :

This is a incomplete question. The complete question is:

It takes 348 kJ/mol to break a carbon-carbon single bond. Calculate the maximum wavelength of light for which a carbon-carbon single bond could be broken by absorbing a single photon. Round your answer to correct number of significant digits

Answer: 344 nm

Explanation:

[tex]E=\frac{Nhc}{\lambda}[/tex]

E= energy  = 348kJ= 348000 J  (1kJ=1000J)

N = avogadro's number = [tex]6.023\times 10^{23}[/tex]

h = Planck's constant = [tex]6.626\times 10^{-34}Js [/tex]

c = speed of light = [tex]3\times 10^8ms^{-1}[/tex]

[tex]348000=\frac{6.023\times 10^{23}\times 6.626\times 10^{-34}\times 3\times 10^8}{\lambda}[/tex]

[tex]\lambda=\frac{6.023\times 10^{23}\times 6.626\times 10^{-34}\times 3\times 10^8}{348000}[/tex]

[tex]\lambda=3.44\times 10^{-7}m=344nm[/tex]    [tex]1nm=10^{-9}m[/tex]

Thus the maximum wavelength of light for which a carbon-carbon single bond could be broken by absorbing a single photon is 344 nm

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