How many kJ/mol (of photons) of energy is contained in light with a wavelength of 4966.36nm?
For one particle
With h and plancs constant and c as the speed of light
E = h nu
E = h (c/lambda)
E = h (c/4966.3910^-9m)
Then you multiply that by 6.0210^23 to find the j/mol
Then you divide by 1000 for kj
We know, E = Planck's constant speed of light / wavelength
Here, h = 6.62607004 × 10-34 m2 kg / s
c = 3 10^8 m/s
w = 4966.36 nm = 4966.36 10^-9m = 4.96636 10^-6 m
Substitute their values,
E = (6.62607004 × 10-34) (3 10^8) / (4.96636 10^-6)
E = 19.88 × 10^-26 / 4.96636 * 10^-6
E = 4 × 10^-20 J
E = 4 × 10^-20 / 10^3
E = 4 × 10^-23
In short, Your Answer would be: 4 × 10^-23 KJ
Hope this helps!