Peroxyacyl nitrates contain two relatively weak bonds that can be broken by low-energy photons. The weakest is the N−O bond in the nitrate functional group of the molecule with a standard bond-dissociation energy of 201 kJ/mol. What is the longest wavelength of a photon, in nanometers, that has enough energy to cause the photodissociation of the weakest bond. Assume all energy of the photon is efficiently used for the photodissociation. One of the highest concentrations of peroxyacyl nitrates has been found in the Los Angeles (LA) basin at 30.0 mol of peroxyacetylnitrate per 1 billion moles of air (30 ppb), reaching its peak at mid-afternoon. Most of the pollution in the LA basin is created in an areaof only 3000 km² and the pollution depth below the inversion layer is normally about 500 m. This concentration was therefore found in1500 km³ of air above Los Angeles.

Name: Peroxyacyl nitrates contain two relatively weak bonds that can be brok
Uploaded: 2022-10-03T15:58:08.000Z
Channel: Bartleby
Description: Peroxyacyl nitrates contain two relatively weak bonds that can be broken by low-energy photons. The weakest is the N−O bond in the nitrate functional group of the molecule with a standard bond-dissociation energy of 201 kJ/mol. What is the longest

Given: Bond energy of N-O bond = 201 KJ/mol = 201000 J/mol. (Since 1 KJ = 1000 J) The amount of energy required to break 1 N-O bond is given by, => Amount of energy required = Bond energy of N-O bondsNumber of molecules in 1 mol = 2010006.022 × 10-23 = 3.33776 × 10-19 J approx. Since all the energy required to break the N-O bond is provided by the photon. Hence the energy of photon required = amount of energy required to break the N-O bond = 3.33776 × 10-19 J. Hence the longest wavelength of the photon required is given by, => λ = hcE Where h = Plank's constant = 6.626 × 10-34 Js. c = speed of light = 3.0 × 108 m/s. E = minimum energy of photon required = 3.33776 × 10-19 J. And λ = longest wavelength of the photon required in mHence substituting the values we get, => λ = 6.626 × 10-34 × 3.0 × 1083.33776 × 10-19 = 5.9555 × 10-7 m = 595.6 nm approx. Therefore the answer is 595.6 nm approx.