krit.club logo

Atoms and Molecules - Atomic Mass

Grade 9CBSE

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

🔑Concepts

Atomic mass is the mass of a single atom of a chemical element, typically expressed in atomic mass units (uu).

According to Dalton's atomic theory, each element possesses a characteristic atomic mass.

Since atoms are extremely small, their absolute mass is difficult to measure. Instead, scientists use Relative Atomic Mass.

The standard reference for measuring atomic mass is the Carbon-12 isotope (12C^{12}C), which is assigned a mass of exactly 1212 atomic mass units.

One atomic mass unit (1 u1 \text{ u}) is defined as a mass unit equal to exactly 112th\frac{1}{12}^{th} the mass of one atom of carbon-12.

The relative atomic mass of the atom of an element is defined as the average mass of the atom, as compared to 112th\frac{1}{12}^{th} the mass of one carbon-12 atom.

Most elements exist as a mixture of isotopes, so the atomic mass we use is the Average Atomic Mass, which accounts for the natural abundance of each isotope.

📐Formulae

1 u=112×Mass of one atom of 12C1 \text{ u} = \frac{1}{12} \times \text{Mass of one atom of } ^{12}C

Relative Atomic Mass=Mass of one atom of the element112×Mass of one atom of 12C\text{Relative Atomic Mass} = \frac{\text{Mass of one atom of the element}}{\frac{1}{12} \times \text{Mass of one atom of } ^{12}C}

Average Atomic Mass=i=1n(Mass of isotopei×Percentage Abundancei)\text{Average Atomic Mass} = \sum_{i=1}^{n} (\text{Mass of isotope}_i \times \text{Percentage Abundance}_i)

💡Examples

Problem 1:

Calculate the average atomic mass of Chlorine, given that it exists as two isotopes: 35Cl^{35}Cl (75%75\%) and 37Cl^{37}Cl (25%25\%).

Solution:

35.5 u35.5 \text{ u}

Explanation:

To find the average atomic mass, we multiply the mass of each isotope by its fractional abundance and add them together: Average Mass=(35×75100)+(37×25100)=26.25+9.25=35.5 u\text{Average Mass} = (35 \times \frac{75}{100}) + (37 \times \frac{25}{100}) = 26.25 + 9.25 = 35.5 \text{ u}.

Problem 2:

If the atomic mass of Oxygen is 16 u16 \text{ u}, what does this signify regarding its relationship to Carbon-12?

Solution:

An atom of Oxygen is 1616 times heavier than 112th\frac{1}{12}^{th} of the mass of a Carbon-12 atom.

Explanation:

Since 1 u1 \text{ u} is 112th\frac{1}{12}^{th} of a 12C^{12}C atom, an atomic mass of 16 u16 \text{ u} means the mass of one Oxygen atom is 16×(112×mass of 12C)16 \times (\frac{1}{12} \times \text{mass of } ^{12}C).

Atomic Mass - Revision Notes & Key Formulas | CBSE Class 9 Science