Answer:
The maximum wavelength of light will be 773.46 nm.
Explanation:
Energy required to break a fluorine-fluorine single bond = 155 kJ/mol
For 1 mole of fluorine gas = 155 kJ = 155000 J
For [tex]6.022\times 10^{23}[/tex] molecules = 155000 J
Then energy to break 1 molecule = [tex]\frac{155000 J}{6.022\times 10^{23}}=2.57\times 10^{-19} J[/tex]
Energy of the photon E =[tex]2.57\times 10^{-19} J[/tex]
Wavelength of the light =[tex]\lambda [/tex]
[tex]E=\frac{hc}{\lambda }[/tex]
[tex]2.57\times 10^{-19} J=\frac{6.626\times 10^{-34} Js\times 3\times 10^8 m/s}{\lambda }[/tex]
[tex]\lambda =7.7346\times 10^{-7} m=773.46 nm[/tex]
The maximum wavelength of light will be 773.46 nm.
