Answer: Energy = 6.0236 X 10 ^-19J per atom and 362.80KJ/mol
Explanation:
The energy of a photon is given by:
E = hf
but f =c/ λ
therefore E= = hc/ λ
Where h is the Planck constant, 6.626x10^-34 J*s
c = speed of light = 3.0 x 10 ^ 8 m/s
λ n= wavelength = 330nm
but 10^9 nm = 1m
330nm= 3.30 x 10^-7m
E= 6.626 X 10 ^-34Js X3.0 x 10 ^ 8 m/s / 3.30 x 10^-7m
= 6.0236 X 10 ^-19J per atom ---Which is energy of a single photon,
Now 1 mole = 6.022x10^23 units, (Avogadro number)
therefore , the energy per 1 mole of photons is
6.0236 x 10^-19 J/atm X 6.023 X 10 ^23 atm/ 1 mol = 362,803.618J/mol
changing to KJ/mol becomes 362,803.618/ 1000= 362.80KJ/mol
