Final answer:
To calculate the maximum wavelength of light that can break a carbon-carbon double bond, convert the bond energy to J/photon. Then use the equation E = hc/λ to find the maximum wavelength.
Step-by-step explanation:
To calculate the maximum wavelength of light that can break a carbon-carbon double bond, we need to convert the given bond energy from kJ/mol to J/photon. The conversion factor is 6.022 x 10^23 photons/mol.
First, convert 614 kJ/mol to J/mol by multiplying by 1000. Then, divide by Avogadro's number (6.022 x 10^23) to get the energy per photon. Finally, use the equation E = hc/λ to find the maximum wavelength, where E is the energy per photon, h is Planck's constant (6.626 x 10^-34 J·s), c is the speed of light (3.00 x 10^8 m/s), and λ is the wavelength.
Substitute the values and solve for λ, rounding to 3 significant digits, we get a maximum wavelength of approximately 1.022 x 10^-19 m.