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The longest wavelength of radiation used to break carbon-carbon bonds is 344 nm.
<u>Explanation:</u>
The longest wavelength of radiation can also be stated as the minimum radiation frequency required to cut carbon-carbon bond should be equal to the threshold energy of the carbon-carbon bonds.
The threshold energy will be equal to the binding energy of the carbon-carbon bonds. As it is known that carbon-carbon bonds exhibit a binding energy of 348 kJ/mole, the threshold energy to break it, is determined as followed.
First, we have to convert the energy from kJ/mol to J, i.e., energy for the carbon-carbon molecules,
As,
So,
Thus, is the longest wavelength of radiation used to break carbon-carbon bonds.