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26 December, 00:55

How much energy (in kJ) do 3.0 moles of photons, all with a wavelength of 670 nm, contain?

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  1. 26 December, 01:22
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    Photon energy is the energy carried by a single photon with a certain wavelength and frequency. These terms are related by an equation.

    E = hv

    where h is the Planck's constant (6.626 x 10-34 J s), v is the frequency which is related to the wavelength by:

    λv = c where λ is the wavelength and c is the speed of light (3.00 x 108 m/s)

    Therefore, the energy equation

    E = hc / λ

    E = 6.626 x 10^-34 J s (3.00x10^8 m/s) / 670 x10^-9 m

    E = 2.966865672x10^-19 J per photon

    Total energy = 2.966865672x10^-19 J / photon (3.0 mol) (6.022x10^23 photon / 1 mol) = 535993.95 J
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