Chemistry

The maximum wavelength of light that can cause this reaction is 1284.8 nanometers. This is because the energy of photons is inversely proportional to their wavelength. Since the enthalpy change for this reaction is 3.10 102 kJ/mol, we need to know how much energy is contained in light of each wavelength to determine the maximum wavelength.

We can use the equation E = hc/λ to calculate the energy of the light of a certain wavelength. In this equation, h is Planck's Constant (6.62607015 x 10-34 J*s), c is the speed of light (299,792,458 m/s), and λ is the wavelength of the light (in meters). This equation tells us that, for each wavelength of light, the energy of the light is proportional to the inverse of the wavelength.

Therefore, to find the maximum wavelength of light that can cause the reaction, we can set E equal to the enthalpy change for the reaction (3.10 102 kJ/mol) and solve for λ. After doing so, we find that the maximum wavelength of light that can cause this reaction is 1284.8 nanometers.