How many helium atoms are there in a helium blimp containing 536 kg of helium?

Key Concepts

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). For helium, the molar mass is approximately 4.00 g/mol. This value is crucial for converting between the mass of helium and the number of moles, which is necessary for determining the number of atoms.

Avogadro's Number

Avogadro's number, approximately 6.022 x 10²³, is the number of atoms, ions, or molecules in one mole of a substance. This constant allows us to relate the amount of substance in moles to the actual number of particles, making it essential for calculating the total number of helium atoms in the blimp.

Conversion from Mass to Moles

To find the number of atoms in a given mass of a substance, one must first convert the mass to moles using the formula: moles = mass (g) / molar mass (g/mol). Once the number of moles is determined, it can be multiplied by Avogadro's number to find the total number of atoms present in the sample.