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Bogdan [553]
1 year ago
9

Carbon-carbon bonds form the ""backbone"" of nearly every organic and biological molecule. The average bond energy of the C¬C bo

nd 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?
Chemistry
1 answer:
qwelly [4]1 year ago
6 0

1.17 × 10¹⁵ s⁻¹ is the frequency and the wavelength is 3.43 × 10⁻⁷m of the least energetic photon that can break an average C - C bond.

WHAT IS CARBON BACKBONE ?

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

Carbon Skeleton Structure :

The carbon skeleton structures consist of bending lines, periodically other elements are written in as well. The carbon skeleton characteristics that change the overall structure includes:

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

<h3>What is wavelength?</h3>

Forms of electromagnetic radiation like radio waves, light waves or infrared (heat) waves make characteristic patterns as they travel through space. Each wave has a certain shape and length. The distance between peaks (high points) is called wavelength.

Step 1 :

Here we have to calculate the frequency and wavelength of the least energetic photon that can break an average C - C bond and have to find out in what region of the electromagnetic spectrum is this radiation.

Bond energy of C - C = 347 kJ

It is known that E = hv

           ⇒ mu = \frac{E}{h}

Where, E is the energy = 347kJ

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

            v is the frequency

Now substituting the values, frequency can be calculated as,

             ⇒ v = \frac{E}{h} = \frac{347kJ/1kJ * mol/6.022 * 10^{23}}{6.626 * 10^{-34}J.s}

                             ≈ 8.70 × 10¹⁴ s⁻¹ .

Formula of Wavelength :

              \lambda = \frac{hc}{E}

Where, λ = wavelength

            h = 6.6 × 10⁻³⁴

            c = 3 × 10⁸

            E = bond energy

Now substituting the values, wavelength can be calculated as,

\lambda = \frac{hc}{E} = \frac{6.6 * 10^{-34} * 3 * 10^{8} * 6.023 * 10^{23}}{347 * 10^{3}} = \frac{119.255 * 10^{-34} * 10^{31} * 10^{-3}}{347} = 0.343 * 10^{-6} = 3.43*10^{-7} m

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

Learn more about the wavelength and frequency here :

brainly.com/question/6297363

#SPJ4

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