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Iodine molecule dissociates into atoms a...

Iodine molecule dissociates into atoms after absorbing light of `4500 Å`. If one quantum of radiation is absorbed by each molecule, calculate the kinetic energy of iodine atoms. (Bond energy of `I_(2)=240 kJ" mol"^(-1)`)

A

`0.789xx10^(-19) J`

B

`0.216xx10^(-19) J`

C

`1.632xx10^(-19) J`

D

`0.789xx10^(-21) J`

Text Solution

Verified by Experts

The correct Answer is:
B
Energy given to `I_(2)` molecule `=(hc)/(lamda) =(6.626xx10^(-34)xx3.0xx10^(8))/(4500xx10^(-10))=4.417xx10^(-19) J`
Also, energy used for breaking up of `I_(2)` molecule `=(240xx10^(3))/(6.02xx10^(23))=3.984xx10^(-19) J`
`therefore` Energy used in imparting kinetic energy to two 1 atoms `=[4.417-3.984]xx10^(-19) J`
`therefore` KE/ iodine atom `=[(4.417-3.984)//2]xx10^(-19)=0.216xx10^(-19) J`
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