Micrometer Range

Micrometer Range
Micrometer Range
What is the energy range of this IR spectrum?

The wavenumber range of your IR spectrum will be 4400-650 cm^-1. What is the wavelength range in micrometers? What is the energy range of your IR spectrum (in Joules/molecule)?

i solved the wavelength range to be 2.273-15.4 micrometers, but can someone check just to be sure. I don't know how to solve for the second part of the problem
Thank YOU!!

λ ^-1 = wavenumber .: λ =1/(wavenumber)
4400 cm-1 λ =1/(4400 cm^-1) = 2.273 *10^-4 cm 2.273*10^-6 m =2.273 μm
650 cm-1 λ =1/(650 cm^-1) = 1.54 *10^-3 cm 15.4*10^-6 m =15.4 μm
(So you are correct, and so am I!)
E = h*c/λ
Planck constant h = 6.626x10^-34 J s
c = speed of light = 2.998 x 10^8 m s-1
For 4400 cm^-1
E = (6.626x10^-34*2.998 x 10^8)/(2.273*10^-6) = 8.74*10^-20 J molecule-1
For my own interest would like to convert this value to kJ mol-1:
(8.74*10^-20*6.022 x 10^23)/1*10^3 = 52.6 kJ mol-1
For 650 cm^-1
E = (6.626x10^-34*2.998 x 10^8)/(15.4*10^-6) = 1.29*10^-20 J molecule-1
8.74*10^-20*6.022 x 10^23/1*10^3 = 7.77 kJ mol-1


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