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2026 National One Eighth chemistry Topic 28 Free

Electron configuration and quantum numbers

Maximum electrons in a subshell from quantum numbers n and l · Sub-topic 1

ONE-EIGHTH STAGE 2026

Contest 10

Labone SHS: 44 points

St. Francis Xavier Jnr. Sem.: 28 points

Koforidua Sec. Tech. Sch.: 20 points

Contest 11

St. Hubert Sem. SHS: 48 points

Mawuli School: 44 points

Konongo Odumase SHS: 19 points

Contest 12

Tamale SHS: 56 points

St. Thomas Aquinas SHS: 35 points

Edinaman SHS: 29 points


ROUND 2 - SPEED RACE

QUESTION

What is the maximum number of electrons in an atom that can have the quantum numbers $n=4$ and $l=1$?

ANSWER: 6 electrons

SOLUTION:

$n=4$, $l=1$ specifies the entire $4p$ subshell (all its orbitals), not one single orbital.

A subshell holds $2(2l+1)$ electrons:

$2(2\times1+1) = 2\times3$

$2(2\times1+1) = 6$


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PRACTICE QUESTIONS

1. QUESTION: What is the maximum number of electrons in an atom that can have the quantum numbers $n=3$ and $l=2$?

ANSWER: 10 electrons or $1\times10^{1}$ electrons

SOLUTION:

A subshell holds $2(2l+1)$ electrons.

$\text{electrons} = 2(2\times2+1)$

$\text{electrons} = 10$


2. QUESTION: What is the maximum number of electrons in an atom that can have the quantum numbers $n=2$ and $l=1$?

ANSWER: 6 electrons

SOLUTION:

A subshell holds $2(2l+1)$ electrons.

$\text{electrons} = 2(2\times1+1)$

$\text{electrons} = 6$


3. QUESTION: What is the maximum number of electrons in an atom that can have the quantum numbers $n=4$ and $l=3$?

ANSWER: 14 electrons or $1.4\times10^{1}$ electrons

SOLUTION:

A subshell holds $2(2l+1)$ electrons.

$\text{electrons} = 2(2\times3+1)$

$\text{electrons} = 14$


4. QUESTION: What is the maximum number of electrons in an atom that can have the quantum numbers $n=3$ and $l=1$?

ANSWER: 6 electrons

SOLUTION:

A subshell holds $2(2l+1)$ electrons.

$\text{electrons} = 2(2\times1+1)$

$\text{electrons} = 6$


5. QUESTION: What is the maximum number of electrons in an atom that can have the quantum numbers $n=5$ and $l=2$?

ANSWER: 10 electrons or $1\times10^{1}$ electrons

SOLUTION:

A subshell holds $2(2l+1)$ electrons.

$\text{electrons} = 2(2\times2+1)$

$\text{electrons} = 10$


6. QUESTION: What is the maximum number of electrons in an atom that can have the quantum numbers $n=3$ and $l=0$?

ANSWER: 2 electrons

SOLUTION:

A subshell holds $2(2l+1)$ electrons.

$\text{electrons} = 2(2\times0+1)$

$\text{electrons} = 2$