Answer:
Step-by-step explanation:
The energy of a single photon can be calculated using the Planck-Einstein relation:
E = hν
where E is the energy of the photon, h is Planck's constant (6.626 x 10^-34 J·s), and ν is the frequency of the radiation.
We can use the speed of light to convert the wavelength of 113 nm to frequency:
c = νλ
where c is the speed of light (3.00 x 10^8 m/s), λ is the wavelength in meters, and ν is the frequency.
ν = c/λ = (3.00 x 10^8 m/s)/(113 x 10^-9 m) = 2.654 x 10^15 Hz
Now we can calculate the energy of a single photon:
E = hν = (6.626 x 10^-34 J·s)(2.654 x 10^15 Hz) = 1.76 x 10^-18 J
The number of photons emitted per second can be calculated by dividing the total energy radiated by the energy of a single photon:
number of photons = (9.5 x 10^-17 J/s)/(1.76 x 10^-18 J/photon) ≈ 5.40 x 10^16 photons/s
Therefore, approximately 5.40 x 10^16 photons are emitted per second.