krit.club logo

Atomic Structure - Isotopes

Grade 9IB

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

Isotopes are atoms of the same element that contain the same number of protons but different numbers of neutrons. This means they have the same atomic number (ZZ) but different mass numbers (AA).

In nuclear notation, an isotope is represented as ZAX^{A}_{Z}X, where XX is the chemical symbol, AA is the mass number (protons + neutrons), and ZZ is the atomic number (protons).

Isotopes of the same element have identical chemical properties because they have the same number of electrons and the same electronic configuration (e.g., 2,8,12, 8, 1 for Sodium isotopes).

Physical properties, such as density, melting point, and boiling point, differ slightly between isotopes because these properties are influenced by the mass of the nucleus.

The Relative Atomic Mass (ArA_r) of an element is the weighted average of the masses of its naturally occurring isotopes relative to 112\frac{1}{12} of the mass of a 12C^{12}C atom.

📐Formulae

A=Z+nA = Z + n

Ar=(isotope mass×percentage abundance)100A_r = \frac{\sum (\text{isotope mass} \times \text{percentage abundance})}{100}

Number of Neutrons=AZ\text{Number of Neutrons} = A - Z

💡Examples

Problem 1:

Chlorine exists as two isotopes: 35Cl^{35}\text{Cl} with an abundance of 75%75\% and 37Cl^{37}\text{Cl} with an abundance of 25%25\%. Calculate the relative atomic mass (ArA_r) of Chlorine.

Solution:

Ar=(35×75)+(37×25)100=2625+925100=35.5A_r = \frac{(35 \times 75) + (37 \times 25)}{100} = \frac{2625 + 925}{100} = 35.5

Explanation:

To find the relative atomic mass, we multiply the mass of each isotope by its percentage abundance, sum the results, and divide by 100100. This gives a weighted average that reflects the natural composition of the element.

Problem 2:

Identify the number of protons, neutrons, and electrons in an atom of Carbon-14 (614C^{14}_{6}\text{C}).

Solution:

Protons = 66, Electrons = 66, Neutrons = 146=814 - 6 = 8

Explanation:

The atomic number (Z=6Z=6) indicates there are 66 protons. In a neutral atom, electrons equal protons. The mass number (A=14A=14) is the sum of protons and neutrons, so n=AZ=146=8n = A - Z = 14 - 6 = 8.

Isotopes - Revision Notes & Key Formulas | IB Grade 9 Science