Calculate energy of one mole of photons of radiation whose frequency is 5 x 10^(14) hz

Explanation

We are given that
Frequency of radiaiton `(v) = 5 xx 10 ^(14) Hz or s ^(-1)`
Onemole photon `= 6. 0 23 xx 10^(23) ` photons.
We are to find out the energy of one mole of photons.
Using the relation,
`E = hv " "...(i)`
`E = 6.62 xx 10 ^(-34) js xx 5 xx 10 ^(14) s ^(-1)`
`E = 3.313 xx 10 ^(-19) J" "...(ii)`
Equation (i) gives the energy of one photon. So, energy of one mole o photons `(6.023 xx 10 ^(23)` photons) can be calculated by multiplying equation (ii) with `6. 0 23 xx 10 ^(3).`
`therefore ` Energy of one mole of photons `= 3.313 xx 10 ^(-19) J xx 6. 023 xx 10 ^(23) or E = 119 . 51` Kj/mol