The number of atoms in 24 grams of Oxygen gas

The number of atoms in a given amount of a substance can be determined using Avogadro's number and the molar mass of the substance. In this case, we want to find the number of atoms in 24 grams of oxygen gas (O2).

1. Molar Mass of Oxygen Gas
To find the molar mass of oxygen gas, we first need to determine the molar mass of a single oxygen atom. The atomic mass of oxygen is 16.00 atomic mass units (amu). However, since oxygen gas exists as a diatomic molecule (O2), we need to multiply the atomic mass by 2 to account for both oxygen atoms in the molecule.

Molar mass of oxygen gas (O2) = 2 * 16.00 amu = 32.00 amu

2. Avogadro's Number
Avogadro's number, denoted as NA, is a fundamental constant that represents the number of atoms or molecules in one mole of a substance. Its value is approximately 6.022 x 10^23 particles per mole.

3. Calculation
To calculate the number of atoms in 24 grams of oxygen gas, we need to use the following formula:

Number of atoms = (mass of substance in grams / molar mass) * Avogadro's number

Substituting the values into the formula:

Number of atoms = (24 g / 32.00 amu) * (6.022 x 10^23 atoms/mole)

4. Solution
Calculating the expression:
Number of atoms = (24 g / 32.00 amu) * (6.022 x 10^23 atoms/mole)
Number of atoms = (0.75 mole) * (6.022 x 10^23 atoms/mole)
Number of atoms = 4.5165 x 10^23 atoms

Therefore, there are approximately 4.5165 x 10^23 atoms in 24 grams of oxygen gas.