Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

match each set of quantum numbers to the correct subshell description b…

Question

match each set of quantum numbers to the correct subshell description by typing in the correct number.
1: n = 2, l = 0 2p:
2: n = 3, l = 2 3d:
3: n = 1, l = 0 2s:
4: n = 2, l = 1 4f:
5: n = 4, l = 3 1s:
done

Explanation:

Step1: Recall the relationship between quantum numbers and subshells

The principal quantum number \(n\) gives the shell number. The angular - momentum quantum number \(l\) determines the sub - shell: \(l = 0\) corresponds to \(s\) sub - shell, \(l=1\) corresponds to \(p\) sub - shell, \(l = 2\) corresponds to \(d\) sub - shell, and \(l=3\) corresponds to \(f\) sub - shell.

Step2: Match each set of quantum numbers

  • For \(2p\): \(n = 2\) (shell number) and \(l = 1\) (since \(p\) sub - shell has \(l = 1\)), so it matches with \(4\) (\(n = 2,l = 1\)).
  • For \(3d\): \(n=3\) (shell number) and \(l = 2\) (since \(d\) sub - shell has \(l = 2\)), so it matches with \(2\) (\(n = 3,l = 2\)).
  • For \(2s\): \(n = 2\) (shell number) and \(l = 0\) (since \(s\) sub - shell has \(l = 0\)), so it matches with \(1\) (\(n = 2,l = 0\)).
  • For \(4f\): \(n = 4\) (shell number) and \(l = 3\) (since \(f\) sub - shell has \(l = 3\)), so it matches with \(5\) (\(n = 4,l = 3\)).
  • For \(1s\): \(n = 1\) (shell number) and \(l = 0\) (since \(s\) sub - shell has \(l = 0\)), so it matches with \(3\) (\(n = 1,l = 0\)).

Answer:

\(2p:4\), \(3d:2\), \(2s:1\), \(4f:5\), \(1s:3\)