Answer:
[tex]7.7549\times 10{19}\ J[/tex]
[tex]1.17037\times 10^{15}\ Hz[/tex]
[tex]2.56329\times 10^{-7}\ m[/tex]
Explanation:
c = Speed of light = [tex]3\times 10^8\ m/s[/tex]
[tex]N_A[/tex] = Avogadro's number = [tex]6.022\times 10^{23}[/tex]
[tex]\nu[/tex] = Frequency
[tex]\lambda[/tex] = Wavelength
The minimum energy is given by
[tex]E=\frac{1\ mol}{N_A}\\\Rightarrow E=467\times 10^{3}\times \frac{1}{6.022\times 10^{23}}\\\Rightarrow E=7.7549\times 10{19}\ J[/tex]
The minimum energy is [tex]7.7549\times 10{19}\ J[/tex]
The energy of a photon is given by
[tex]E=h\nu\\\Rightarrow \nu=\frac{E}{h}\\\Rightarrow \nu=\frac{467\times 10^{3}\frac{1}{6.022\times 10^{23}}}{6.626\times 10^{-34}}\\\Rightarrow \nu=1.17037\times 10^{15}\ Hz[/tex]
The frequency of the photon is [tex]1.17037\times 10^{15}\ Hz[/tex]
Wavelength is given by
[tex]\lambda=\frac{c}{\nu}\\\Rightarrow \lambda=\frac{3\times 10^8}{1.17037\times 10^{15}}\\\Rightarrow \lambda=2.56329\times 10^{-7}\ m[/tex]
The wavelength is [tex]2.56329\times 10^{-7}\ m[/tex]
