Respuesta :
Answer:
The total energy of an electron in H atom is [tex]1.31\times10^{-19}\ J[/tex].
Explanation:
Given that,
Radius [tex]R=8.784\times10^{-10}\ m[/tex]
We need to calculate the orbit number
Using formula of radius
[tex]R=a_{0}n^2[/tex]
[tex]n^2=\dfrac{R}{a_{0}}[/tex]
Where, a₀ = boar radius
n = orbit number
Put the value into the formula
[tex]n^2=\dfrac{8.784\times10^{-10}}{0.529\times10^{-10}}[/tex]
[tex]n=\sqrt{\dfrac{8.784\times10^{-10}}{0.529\times10^{-10}}}[/tex]
[tex]n=4.07[/tex]
We need to calculate the total energy of an electron in H atom
Using formula of energy
[tex]E=-\dfrac{13.6}{n^2}[/tex]
Put the value into the formula
[tex]E=\dfrac{-13.6}{16.60}\ ev[/tex]
[tex]E=0.8192\times1.6\times10^{-19}[/tex]
[tex]E=1.31\times10^{-19}\ J[/tex]
Hence, The total energy of an electron in H atom is [tex]1.31\times10^{-19}\ J[/tex].
