(1-1) 1 mole of Cl2 comprises Avogadro’s number of molecules. So the energy required to break one individual Cl-Cl bond:
E = 243 000 Jmol-1 / 6.023 x 1023 mol-1 = 4.04 x 10-19 J
The photon wavelength that corresponds to this energy is given by:
λ = hc /E = 6.626 x 10-34 Js x 3.00 x 108 ms-1 / 4.04 x 10-19 J = 4.93 x 10-7 m = 493 nm
This corresponds to a photon of blue-green light. Your red laser photons have a longer wavelength than this (633 nm) and therefore their energies are lower than that required to break the bond. However, Cormorant’s disco-light photons have a shorter wavelength (350 – 400 nm) and therefore have more than enough to break the bond.