For a lithium atom,what can be said about the | vedclass

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(B) The electronic configuration of $Li$ $(Z=3)$ is $1s^2 2s^1$. The third electron enters the $2s$ orbital,so $n = 2$.Angular momentum is given by $m

Vedclass · Accepted Answer

Angular momentum = $\frac{h}{\pi}$,Energy = $\frac{-9\pi^2 e^4 m}{2h^2}$

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(B) The electronic configuration of $Li$ $(Z=3)$ is $1s^2 2s^1$. The third electron enters the $2s$ orbital,so $n = 2$.Angular momentum is given by $mvr = \frac{nh}{2\pi}$. For $n=2$,Angular momentum = $\frac{2h}{2\pi} = \frac{h}{\pi}$.The energy of an electron in a hydrogen-like species is given by $E_n = \frac{-2\pi^2 m e^4 Z^2}{n^2 h^2}$.Substituting $Z=3$ and $n=2$: $E = \frac{-2\pi^2 m e^4 (3)^2}{(2)^2 h^2} = \frac{-2\pi^2 m e^4 (9)}{4 h^2} = \frac{-9\pi^2 m e^4}{2h^2}$.

For a lithium atom,what can be said about the angular momentum and energy values for the permitted orbit of its third electron?

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