It takes 463 kj/mol to break an oxygen-hydrogen single bond. calculate the maximum wavelength of light for which an oxygen-hydrogen single bond could be broken by absorbing a single photon

Explanation:

You need to calculate the wavelength of a photon with an energy equal to 463 kJ/mol, which is the energy to break an oxygen-hydrogen atom.

The energy of a photon and its wavelength are related by the Planck - Einstein equation:

Where:

And:

Where:

Thus, you can derive:

Solve for λ:

Before substituting the values, convert the energy, 463 kJ/ mol, to J/bond

       = 7.69×10²³ J / bond

Substitute the values and use the energy of one bond:

The wavelength of light is usually shown in nanometers:

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