Carbon-carbon bonds form the ""backbone"" of nearly every organic and biological molecule. The average bond energy of the C¬C bond is 347 kJ/mol. Calculate the frequency and wavelength of the least energetic photon that can break an average C¬C bond. In what region of the electromagnetic spectrum is this radiation?

The carbon backbone is also called the carbon shell. All organic composites are made up of carbon- carbon bonds, creating a carbon shell or backbone in the composites.

Carbon Skeleton Structure

The carbon shell structures correspond of bending lines, periodically other rudiments are written in as well. The carbon shell characteristics that change the overall structure includes

Length of carbon chain (the longer it's the more break- zags are drawn). Shape of the carbon chain( branches, rings, etc. all change the shape of the shell). position of attached functional groups, they need to be put onto the correct point in the skeleton. Any double or triadic bonds that are present, particularly as triadic bonds change the shape of the shell.

What's wavelength?

Forms of electromagnetic radiation like radio swells, light swells or infrared( heat) swells make characteristic patterns as they travel through space. Each surge has a certain shape and length.

Now,

E = hv

[tex]mu = \frac{E}{h}[/tex]

Where,

E is the energy = 347kJ

h is the planck's constant = [tex]6.626 * 10^{-34}J.s[/tex]

v is the frequency

Now substituting the values, we get

[tex]v = \frac{E}{h}[/tex]

[tex]= \frac{347kJ/1kJ \times mol/6.022 \times 10^{23}}{6.626 \times 10^{-34}J.s}[/tex]

= 8.70 × 10¹⁴ s⁻¹ .

Wavelength is expressed :

[tex]\lambda = \frac{hc}{E}[/tex]

Where,

λ = wavelength

h = 6.6 × 10⁻³⁴

c = 3 × 10⁸

E = bond energy

Now substituting the value, we get

[tex]\lambda = \frac{hc}{E}[/tex]

[tex]= \frac{6.6 \times 10^{-34} \times 3 \times 10^{8} \times 6.023 \times 10^{23}}{347 \times 10^{3}}[/tex]

[tex]= \frac{119.255 \times 10^{-34} \times 10^{31} \times 10^{-3}}{347}[/tex]

[tex]= 0.343 \times 10^{-6}[/tex]

[tex]= 3.43 \times 10^{-7} m[/tex]

Thus, from the above conclusion we can say that 1.17 × 10¹⁵ s⁻¹ is the frequency and 3.43 × 10⁻⁷m is the wavelength of the least energetic photon.

Learn further about the wavelength and frequency here :

https://brainly.com/question/6297363

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