Question
Calculate the energy of one mole of photons of radiation whose frequency is $5 \times 10^{14} \mathrm{~Hz}$.

Answer

Energy of I Photon, E = hy
v is frequency,
$=6.626 \times 10^{-34} \mathrm{~J} \mathrm{~s} \times 5 \times 10^{14} \mathrm{~s}^{-1}$
$=33.130 \times 10^{-20} \mathrm{~J}$
Energy of 1 mole of photon,
$=33.130 \times 10^{-20} \times 6.022 \times 10^{23}$
$=199.51 \times 10^3 \mathrm{~J}=199.51 \mathrm{~kJ} / \mathrm{mol}^{-1}$

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