Find the mass in atomic mass units of the following:a. 1 O atom, with a mass of 2.66 * 10^-23 gb. 1 Br atom, with a mass of 1.31 * 10^-22 g

Verified step by step guidance

1. Identify the conversion factor between grams and atomic mass units (amu). The conversion factor is 1 amu = 1.66053906660 \times 10^{-24} g.
2. For part (a), calculate the mass of 1 O atom in amu by dividing its mass in grams by the conversion factor: \( \text{mass in amu} = \frac{2.66 \times 10^{-23} \text{ g}}{1.66053906660 \times 10^{-24} \text{ g/amu}} \).
3. For part (b), calculate the mass of 1 Br atom in amu by dividing its mass in grams by the conversion factor: \( \text{mass in amu} = \frac{1.31 \times 10^{-22} \text{ g}}{1.66053906660 \times 10^{-24} \text{ g/amu}} \).
4. Ensure that the units cancel out correctly in each calculation, leaving you with the mass in amu.
5. Review the calculations to ensure accuracy and consistency with the conversion factor used.

Key Concepts

Atomic Mass Unit (amu)

An atomic mass unit (amu) is a standard unit of mass that quantifies mass on an atomic or molecular scale. It is defined as one twelfth of the mass of a carbon-12 atom, approximately 1.66 x 10^-24 grams. This unit is crucial for comparing the masses of different atoms and molecules, allowing chemists to express atomic and molecular weights in a consistent manner.

Conversion from grams to amu

To convert mass from grams to atomic mass units, one must use the conversion factor that 1 amu is equivalent to 1.66 x 10^-24 grams. This means that to find the mass of an atom in amu, you divide the mass in grams by this conversion factor. This process is essential for accurately determining the mass of individual atoms in a format that is commonly used in chemistry.

Mass of Elements

The mass of elements, such as oxygen (O) and bromine (Br), is typically expressed in atomic mass units and reflects the average mass of an atom of the element, accounting for isotopes. Each element has a specific atomic mass that can be found on the periodic table, which is useful for calculations involving chemical reactions and stoichiometry. Understanding the mass of elements is fundamental for solving problems related to chemical quantities.