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Calculate the wavelength of the radiatio...

Calculate the wavelength of the radiation that would cause photo dissociation of chlorine molecule if the `Cl-Cl` bond energy is `243kJ//mol`.

Text Solution

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Energy required to break one `Cl-Cl` bond
`=("Bond energy per mole")/("Avogadro's number")`
`=(243)/(6.023xx10^(23))kJ=(243xx10^(3))/(6.023xx10^(23))J`
Let the wavelength of the photon to cause rupture of one Cl-Cl bond be `lamda`.
We know that, `lamda=(hc)/(E)=(6.6xx10^(-34)xx3xx10^(8)xx6.023xx10^(23))/(243xx10^(3))`
`=4.90xx10^(-7)m=490m`
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