A photochemical r×n in which 9.6×10^16J energy per molecule-Calculatet...
Calculation of Photons per mole of wavelength 250 nm
Given:
Energy per molecule, E = 9.6 x 10^16 J
Wavelength, λ = 250 nm = 2.5 x 10^-7 m
Solution:
The energy of a single photon is given by:
E = hc/λ
Where h is Planck's constant and c is the speed of light.
Thus, the number of photons per molecule can be calculated as:
Number of photons = E / hc/λ
Number of photons = (9.6 x 10^16 J) / (6.626 x 10^-34 J s x 2.998 x 10^8 m/s / 2.5 x 10^-7 m)
Number of photons = 3.05 x 10^21 photons
Now, to calculate the number of photons per mole, we need to use Avogadro's number:
Number of photons per mole = (3.05 x 10^21 photons/molecule) x (6.022 x 10^23 molecules/mol)
Number of photons per mole = 1.83 x 10^45 photons/mol
Answer:
The number of photons per mole of wavelength 250 nm is 1.83 x 10^45 photons/mol.