What is the longest wavelength of radiation with enough energy to break carbon-carbon bonds?

The radiation is Ultraviolet and a carbon-carbon bond requires 348 kg/mole to break. I cant seem to find the right equation to solve this equation. Please help?What is the longest wavelength of radiation with enough energy to break carbon-carbon bonds?
molar mass of carbon-carbon bond = 348kg/mole

1 mole * 348Kg/mole = 348kg

the formula that connects wavelength and mass

wavelegth = h / mc

h = planck's constant= 1.6 * 10^-19

c = 3 * 10^8m/s

wavelength = 1.6 * 10^-19 / (348 * 3 * 10 ^8)

wavelength=1.6*10^-19/1.044*10^11

wavelength= 1.53*10^-30m

you might decide to change the 348kg to 348000gWhat is the longest wavelength of radiation with enough energy to break carbon-carbon bonds?
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