In an atom, the maximum number of electrons having the quantum numbers n=5 and §¤ = 3 is:
1. 9.
2. 14.
3. 50.
4. 25.
5. 7.
Shouldn't the maximum number be a lot bigger than the answer choices?
That weird symbol was supposed to be quantum number l.
Thanks for the explanation of the weird symbol. If "ell" is 3, that is an f electron and there can be 14 f electrons.
(2s, 6p, 10d, 14f etc).
You are correct, the maximum number of electrons in an atom with quantum numbers n=5 and §¤=3 should be larger than the options given. To determine the maximum number of electrons, we need to consider the quantum numbers associated with each electron shell and subshell.
The principal quantum number (n) represents the main energy level or shell of an atom, ranging from 1 to infinity. The azimuthal quantum number (§¤), also known as the angular momentum quantum number, represents the shape of the subshell and can have values from 0 to n-1.
In this case, we are looking for the maximum number of electrons with n=5 and §¤=3. This means we need to look at the fifth shell (n=5) and the third subshell (§¤=3).
To determine the maximum number of electrons in a particular subshell, we use the formula 2(2§¤ +1), where §¤ represents the azimuthal quantum number.
For the third subshell (§¤=3), the maximum number of electrons can be calculated as:
2(2§¤ + 1) = 2(2(3) + 1) = 2(6 + 1) = 2(7) = 14.
Therefore, the correct answer is option 2, with the maximum number of electrons being 14.