Answer :
The wavelength of one mole of photons of yellow light is 2 x 10^6 J.
The wavelength of the yellow light is given to be 580nm.
We know, the energy of one photon of the light with wavelength Y will be given by,
E = hc/Y
Where,
h is Planck's constant,
c is the speed of light.
Now, for one mole of photons.
We should multiply the energy of one photon to avogadro number.
So, the energy of one mole of photon is,
E = Nhc/Y
Where N is avogadro number.
Putting values,
E = 6.02 x 10^23 x 6.62 x 10^-34 x 3 x 10^8/580x10^-9
E = 0.20 x 10^7
E = 2 x 10^6 J.
So, the energy of one mole of photon is 2 x 10^6 J.
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