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The bonds of oxygen molecules are broken by sunlight. The minimum energy required to break the oxygen-oxygen bond is 495 kJ/mol O2. What wavelength of sunlight is required to break the bond in one O2 molecule?

Respuesta :

Answer:

The wavelength of sunlight is required to break the bond in one oxygen molecule is 242 nm.

Explanation:

Energy required to break the 1 mol oxygen-oxygen bond:

=495 kJ=495000J

1 mol = [tex]6.022\times 10^{23}[/tex] molecules

Energy required to break 1 molecule of oxygen molecule= E

= [tex]E=\frac{495000 J}{6.022\times 10^{23}}=8.219\times 10^{-19} J[/tex]

The energy required to break the  1 molecule of oxygen is equal to enrgy of one photon of a sunlight.

[tex]E=\frac{h\times c}{\lambda}[/tex]

where,

[tex]\lambda [/tex] = wavelength of the light

E = energy of the photon

h = Planck's constant = [tex]6.63\times 10^{-34}Js[/tex]

c = speed of light = [tex]3\times 10^8m/s[/tex]

[tex]\lambda=\frac{h\times c}{E}[/tex]

[tex]\lambda =\frac{6.63\times 10^{-34}Js \times 3\times 10^8m/s}{8.219\times 10^{-19} J}=2.42\times 10^{-7} m=242 nm[/tex]

The wavelength of sunlight is required to break the bond in one oxygen molecule is 242 nm.

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