1 2. Methane is a known “greenhouse gas” because it absorbs infrared radiation in the atmosphere. It has four C-H single

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1 2 Methane Is A Known Greenhouse Gas Because It Absorbs Infrared Radiation In The Atmosphere It Has Four C H Single 1 (135.39 KiB) Viewed 142 times

1 2. Methane is a known “greenhouse gas” because it absorbs infrared radiation in the atmosphere. It has four C-H single bonds. These two atoms can vibrate along this bond. The force between the two atoms is f=k(x – xo) where x is the distance between the two atom centers, k is the spring constant, and Xo is the distance of separation between the two atoms at rest. The potential energy of stretching or compressing the molecular “spring” is U= 12 k[x - xo)2. The effective mass u of the vibrating C-H pair is given by . The molar mass of carbon is 12 g/mol and that for hydrogen is 1 g/mol. a) Solutions to the Schrödinger equation for the lowest four energy solutions for this problem are labeled at right. Indicate which solution corresponds with which energy level. Fourth energy level Third energy level Second energy level Lowest energy level 1 = и mc + тн A B с b) Photons of wavelength 3.3 x 10-6 m are absorbed by transitions between two adjacent energy levels described in part a). Calculate the energy of one of these photons? А M