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The energy required to break one moleof ...

The energy required to break one moleof `Cl-Cl` bonds in `Cl_(2)` is 242 kJ `"mol"^(-1)`. The largest wavelenth of light capable of breaking a single Cl-Cl bond is `(c=3xx10^(8)ms^(-1)` and `N_(A)=6.02xx10^(23)"mol"^(-1))`

A

700 nm

B

494 nm

C

594 nm

D

640 nm

Text Solution

Verified by Experts

The correct Answer is:
B

`DeltaE` for breaking one Cl-Cl bond
`=242kJ"mol"^(-1)`
`DeltaE=(N_(A)hc)/(lamda)`
`242xx10^(3)J=(6.02xx10^(23)xx6.62xx10^(-34)xx3.0xx10^(8))/(lamda)`
or `lamda=(6.02xx10^(23)xx6.62xx10^(-34)xx3.0xx10^(8))/(242xx10^(3))`
`=4.94xx10^(-7)m` or `494xx10^(-9)m`
or `=494nm`
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