To calculate the maximum wavelength of light, we can use the equation E = hc/λ, where E is the energy of the photon, h is Planck's constant (6.62607015 × 10^-34 Js), c is the speed of light (2.998 × 10^8 m/s), and λ is the wavelength of light.
First, let's convert the given energy from kJ/mol to J/photon:
614 kJ/mol * (1000 J/1 kJ) / Avogadro's number = 1.025 × 10^-19 J/photon
Now we can rearrange the equation and solve for λ:
λ = hc/E
λ = (6.62607015 × 10^-34 Js * 2.998 × 10^8 m/s) / (1.025 × 10^-19 J/photon)
λ = 6.454 × 10^-7 m
Finally, we convert the wavelength from meters to nanometers:
λ = 6.454 × 10^-7 m * (10^9 nm/ 1 m)
λ ≈ 645.4 nm
Therefore, the maximum wavelength of light for which a carbon-carbon double bond could be broken by absorbing a single photon is 645.4 nm.
It takes 614 kJ/mol to break a carbon carbon double bond calculate the maximum wavelength of light for which a carbon carbon double bond could be broken by absorbing a single photon
Be sure your answer has correct number of significant digits in nm
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