Question

What is the energy of a mole of photons that have a wavelength of 413 nm? (h = 6.626 × 10⁻³⁴ J • s and c = 3.00 × 10⁸ m/s)

Answer 1

Answer:

Energy of one mole of photon will be $2.89\times 10^5J$    

Explanation:

We have given wavelength of photon $\lambda =413nm=413\times 10^{-9}m$

Velocity of light is given $c=3\times 10^8m/sec$

Plank's constant $h=6.626\times 10^{-34}Js$

Energy of the photon is given by $E=\frac{hc}{\lambda }=\frac{6.626\times 10^{-34}\times 3\times 10^8}{413\times 10^{-9}}=0.048\times 10^{-17}J$

We have to find the energy of one mole of photon

One mole of photon is equal to $6.023\times 10^{23}photon$

So energy of one mole of photon will be equal to $6.023\times 10^{23}\times 0.048\times 10^{-17}=2.89\times 10^5J$

So energy of one mole of photon will be $2.89\times 10^5J$