Respuesta :
The longest wavelength of radiation used to break carbon-carbon bonds is 344 nm.
Explanation:
The longest wavelength of radiation can also be stated as the minimum radiation frequency required to cut carbon-carbon bond should be equal to the threshold energy of the carbon-carbon bonds.
The threshold energy will be equal to the binding energy of the carbon-carbon bonds. As it is known that carbon-carbon bonds exhibit a binding energy of 348 kJ/mole, the threshold energy to break it, is determined as followed.
First, we have to convert the energy from kJ/mol to J, i.e., energy for the carbon-carbon molecules,
[tex]\text { Energy } = \frac{348 \mathrm{KJ} / \mathrm{mol}}{6.023 \times 10^{23} \text { photons }} \times 1 \text { mole } \times 1000 = 57.77 \times 10^{-20} = 5.78 \times 10^{-19} J[/tex]
As,
[tex]E=h v=\frac{h c}{\lambda}[/tex]
So,
[tex]\lambda=\frac{h c}{E}=\frac{6.626 \times 10^{-34} \times 3 * 10^{8}}{5.78 \times 10^{-19}}=3.44 \times 10^{-7}[/tex]
Thus, [tex]\lambda=344 \mathrm{nm}[/tex] is the longest wavelength of radiation used to break carbon-carbon bonds.
The distance between two successive troughs or crests is known as the wavelength. .344 nm is the longest wavelength of light that may be used to break carbon-carbon bonds.
How do you define wavelength?
The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.
The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.
The length of a wave is measured in its propagation direction. The wavelength is measured in meters, centimeters, nanometres,
The relationship between the wave's wavelength, frequency, and speed is given as
wavelength = speed of light/frequency
is the wave's wavelength.
v denotes the wave's speed.
f is the wave's frequency.
The longest wavelength of radiation, or the least radiation frequency necessary to sever carbon-carbon bonds, should be equivalent to the carbon-carbon bonds' threshold energy.
The binding energy of carbon-carbon bonds will be equal to the threshold energy. Because carbon-carbon bonds have a binding energy of 348 kJ/mole,
The energy required to break them is calculated as follows;
[tex]\rm E= \frac{348}{6.023 \times 10^{23}} \times 1 \times 100 \\\\ \rm E= 5.78 \times 10^{-19}[/tex]
As a result, is the longest wavelength of light that can break carbon-carbon bonds.
[tex]\rm \lambda= \frac{hC}{E} \\\\ \rm \lambda= \frac{6.6 \times 10^{-34}3\times10^8}{5.78 \times 10^{-19}} \\\\ \rm \lambda=344 \times 10^{-9} \\\\ \rm \lambda = 344 \ nM[/tex]
Hence 344 nm is the longest wavelength of light that may be used to break carbon-carbon bonds.
To learn more about the wavelength refer to the link;
brainly.com/question/7143261
