Respuesta :
Explanation:
The longest wavelength of light with enough energy to break the Cl-Cl bond = 495 nm = [tex]495\times 10^{-9} m[/tex]
1) The frequency of the light:
[tex]\lambda =495\times 10^{-9} m[/tex]
[tex]\nu=\frac{c}{\lambda }[/tex]
c = speed of light= [tex]3\times 10^8 m/s[/tex]
[tex]\nu=\frac{3\times 10^8 m/s}{495\times 10^{-9} m}[/tex]
[tex]=6.0606\times 10^{14) s^{-1}[/tex]
The frequency of the light is [tex]6.0606\times 10^{14) s^{-1}[/tex].
2)The energy of a photon of the light:
The energy of the photon is given by : E
[tex]E=h\nu [/tex]
h = Planck's constant = [tex]6.626\times 10^{-34} J/s[/tex]
[tex]E=6.626\times 10^{-34} J/s\times 6.0606\times 10^{14) s^{-1}[/tex]
[tex]=4.016\times 10^{-19} J[/tex]
The energy of a photon of the light is [tex]4.016\times 10^{-19} J[/tex].
3) The minimum energy of the Cl-Cl bond :
To break single bond of Cl-Cl bond we need energy E= [tex]4.016\times 10^{-19} J[/tex]
1 mole = [tex]N_A=6.022\times 10^{23} mol^{-1} [/tex]
So, in order to break 1 mole of Cl-Cl bond we will need:
[tex]E\times N_A=4.016\times 10^{-19} J\times 6.022\times 10^{23} mol^{-1} [/tex]
[tex]=241,828.92 J/mol=241,828.92\times 0.001 kJ/mol=241.83 kJ/mol[/tex]
The minimum energy of the Cl-Cl bond is 241.83 kJ/mol.
The frequency of the light radiation has been 6.0606 × [tex]\rm 10^1^4[/tex] /sec. The energy of the light photon has been 4.016 × [tex]\rm 10^-^1^9[/tex] J. The minimum energy in the Cl-Cl bond has been 241.8292 kJ/mol.
(1) The frequency can be defined as the number of times the wave has been repeated, while the wavelength has been defined as the distance of one wave.
The frequency of the wave in the air can be given as:
Frequency = [tex]\rm \dfrac{speed}{wavelength}[/tex]
Frequency of 495 nm wavelength has been :
Frequency = [tex]\rm \dfrac{3\;\times\;10^8\;m/sec}{495\;\times\;10^-^9\;m}[/tex]
Frequency = 6.0606 × [tex]\rm 10^1^4[/tex] /sec
The frequency of the light radiation has been 6.0606 × [tex]\rm 10^1^4[/tex] /sec.
(2) The energy of the light photon has been given by:
Energy = Plank's constant × Frequency
Energy = 6.626 × [tex]\rm 10^-^3^4[/tex] J/s × 6.0606 × [tex]\rm 10^1^4[/tex] /sec
The energy of the photon = 4.016 × [tex]\rm 10^-^1^9[/tex] J.
The energy of the light photon has been 4.016 × [tex]\rm 10^-^1^9[/tex] J.
(3) The minimum energy of Cl-Cl bond has been given by:
The energy for 1 photon = 4.016 × [tex]\rm 10^-^1^9[/tex] J.
The energy for 1 mole of Cl-Cl has been the minimum energy for breaking Cl-Cl bond.
1 mole = 6.023 × [tex]\rm 10^2^3[/tex] atoms
Energy for Cl-Cl bond has been = 4.016 × [tex]\rm 10^-^1^9[/tex] J × 6.023 × [tex]\rm 10^2^3[/tex] atoms
Energy for Cl-Cl bond has been = 241,828.92 J/mol
Energy for Cl-Cl bond has been = 241.8292 kJ/mol.
The minimum energy in the Cl-Cl bond has been 241.8292 kJ/mol.
For more information about frequency, refer to the link:
https://brainly.com/question/4393505
