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 (6.626 x 10^-34 J*s), c is the speed of light (2.998 x 10^8 m/s), and λ is the wavelength of the light.
First, we need to convert the energy required to break the iodine-iodine single bond from kJ/mol to J/photon. There are Avogadro's number (6.022 x 10^23) of iodine-iodine single bonds in a mole:
Energy per photon = (151 kJ/mol) / (6.022 x 10^23) = 2.504 x 10^-22 J/photon
Now we can use the equation to solve for the maximum wavelength:
E = hc/λ
2.504 x 10^-22 J/photon = (6.626 x 10^-34 J*s)(2.998 x 10^8 m/s)/λ
Simplifying, we have:
2.504 x 10^-22 = 1.988 x 10^-25/λ
λ = 1.988 x 10^-25/2.504 x 10^-22
λ = 0.080 nm
Therefore, the maximum wavelength of light for which an iodine-iodine single bond could be broken by absorbing a single photon is approximately 0.080 nm.
It takes 151 kJ/mol to break an iodine iodine single bond calculate the maximum wavelength of light for which an iodine iodine single bond could be broken by absorbing a single photon
Be sure your answer has correct number of significant digits
In nm
1 answer