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Grade 10 Science · Chemistry

Atomic structure and isotopes

Use this for “An atom has 13 protons and 14 neutrons. What is its mass number, and how many electrons does it have?”

Diagram

2713Al13 protons14 neutrons13 electrons
Aluminum-27: 13 protons, so atomic number Z = 13.
Mass number A = 13 + 14 = 27.
13 electrons: charge 13 − 13 = 0, a neutral atom.
Shells: 2, 8, 3.
This is an example. Type your own values to start a new problem.
A
=
Z
+
N
q
=
Z
−
e

Formulas

A
=
Z
+
N
27 = 13 + 14
q
=
Z
−
e
0 = 13 − 13

Assumptions

•
The number of protons, the atomic number Z, names the element.
•
Isotopes of an element differ only in neutrons, so only the mass number changes.
•
Electrons have almost no mass, so they are left out of the mass number.

Step-by-step

WE KNOW
Z = 13, N = 14, e = 13
FIND
mass number (A), charge (q)
Step 1 · Find mass number (A)
Use A = Z + N
The mass number counts every particle in the nucleus.
A
=
13
+
14
A
=
27
Step 2 · Find charge (q)
Use q = Z − e
Each proton adds +1 and each electron −1.
q
=
13
−
13
q
=
0
Check
Put the numbers back in. Both sides should match.
27 = 13 + 14 ✓
0 = 13 − 13 ✓
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