Question

1. which letter does not represent a current sublevel of an energy level?

a. d
b. f
c. c
d. p

1. how many orbitals are in the third energy level?

a. 1
b. 4
c. 9
d. 16

1. how many electrons are held in n=3?

a. 2
b. 8
c. 18
d. 32

1. which of the following sublevels does not exist?

a. 3f
b. 2p
c. 1s
d. 4d

Explanation:

Question 14: How many orbitals are in the third energy level?

Step1: Recall energy level and orbitals

The number of orbitals in an energy level \( n \) is given by \( n^2 \). For the third energy level, \( n = 3 \).

Step2: Calculate the number of orbitals

Substitute \( n = 3 \) into the formula \( n^2 \). So, \( 3^2=9 \).

Step1: Recall electron capacity formula

The maximum number of electrons in an energy level \( n \) is given by \( 2n^2 \). For \( n = 3 \), we use this formula.

Step2: Calculate the number of electrons

Substitute \( n = 3 \) into \( 2n^2 \). So, \( 2\times3^2 = 2\times9=18 \).

Step1: Recall sublevel existence rules

The sublevels (l) possible for a given principal quantum number \( n \) are \( l = 0, 1, ..., n - 1 \). The sublevel notation is based on \( l \): \( l = 0 \) is \( s \), \( l = 1 \) is \( p \), \( l = 2 \) is \( d \), \( l = 3 \) is \( f \). For \( n = 3 \), the possible \( l \) values are \( 0, 1, 2 \) (since \( l < n \)). So \( l = 3 \) (which is \( f \)) is not possible for \( n = 3 \). So \( 3f \) does not exist.

Answer:

c. 9

Question 15: How many electrons are held in \( n = 3 \)?