The value of delta for the [C_rF_6]^3- complex is 182 kJ/mol. Calculate the expected wavelength of the absorption corresponding to promotion of an electron from the lower-energy to the higher-energy of orbital set in this complex. (Remember to divide by Avogadro's number.) Should the complex absorb in the visible range?

Respuesta :

Answer:  Yes the absorb in the visible range.

Explanation:

The relationship between wavelength and energy of the wave follows the equation:

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

where,

[tex]E[/tex] = energy of the wave  = 182 kJ/mol  = 182000 J/mol

N = avogadro's number =  [tex]6.023\times 10^{23}[/tex]

h = plank constant = [tex]6.6\times 10^{-34}Js^{-1}[/tex]

c = speed of light = [tex]3\times 10^8m/s[/tex]

[tex]\lambda [/tex] = wavelength of the wave = ?

Putting all the values:

[tex]182000=\frac{6.023\times 10^{23}\times 6.6\times 10^{-34}\times 3\times 10^8m/s}{\lambda}[/tex]

[tex]\lambda=0.65\times 10^{-6}m=650nm[/tex]    [tex](1nm=10^{-9}m)[/tex]

The wavelength range for visible rays is 400 nm to 750 nm, thus the complex absorb in the visible range.

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