Question
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
Be sure your answer has correct number of significant digits
In nm
Answers
GPT 3.5
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.
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.