Final answer:
The mass in grams of one molecule of chlorine gas (Cl₂) is calculated by dividing the molar mass of chlorine gas, 70.90 grams per mole, by Avogadro's number, which is 6.022 × 10²³ molecules per mole. This provides the mass of a single Cl₂ molecule in grams when you perform the division.
Step-by-step explanation:
To find the mass in grams of one molecule of chlorine gas (Cl₂), we can use the given molar mass of chlorine gas and Avogadro's number. The molar mass of Cl₂ is 70.90 grams per mole, and there are 6.022 × 10²³ molecules in one mole. To calculate the mass of a single Cl₂ molecule in grams, we first find the mass of one mole and then divide by Avogadro's number (number of molecules in one mole).
Here's the calculation:
- Molar mass of Cl₂ = 70.90 g/mol,
- Using Avogadro's number, number of molecules in one mole = 6.022 × 10²³ molecules,
- Therefore, the mass of one Cl₂ molecule = Molar mass of Cl₂ ÷ Avogadro's number,
- Which is 70.90 g/mol ÷ 6.022 × 10²³ molecules/mol.
By doing the division, we get the mass of one Cl₂ molecule in grams. This step-by-step process allows us to convert from grams of Cl₂ to moles, and then to the number of molecules, providing the mass of a single molecule.