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Iodine molecule absorbs radiation of wav...

Iodine molecule absorbs radiation of wavelength 450 nm to dissociate into iodine atoms. If each molecule of iodine absorbs 1 quantum of radiation, determine the kinetic energy of iodine atom. (Bond energy of `I_(2)=240kJ*mol^(-1)`)

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Energy required for the dissocation of 1 mol of iodine molecules=Bond energy of `I_(2)` molecule=240kJ
`therefore`Energy requried for the dissociation of a single iodine molecule`=(240xx10^(3))/(6.022xx10^(23))J=3.985xx10^(-19)J`
Enerrgy absorbed by each iodine molecule`=hv=(hc)/(lamda)`
`=(6.626xx10^(-34)xx3xx10^(8))/(450xx10^(-9))J=4.417xx10^(-19)J`
`therefore`The surplus energy after the dissociation of each molecule of iodine`=(4.417-3.985)xx10^(-19)J=4.32xx10^(-20)J`
this surplus energy imparts kinetci energy to each iodine molecule.
`therefore`The surplus energy that imparts kinetic energy to each iodine atom`=(4.32xx10^(-20))/(2)J=2.16xx10^(-20)J`
`therefore`The kinetic energy of each iodine atom`=2.16xx10^(-20)J`
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