Calculate The Number of Moles in 10.0 Grams of Baf2
'/%3E%3Ccircle cx='48' cy='39' r='19' fill='%23f2c9a5'/%3E%3Cpath d='M27 35c3-16 39-17 42 2-8-8-27-9-42-2z' fill='%23374151'/%3E%3Cpath d='M21 86c5-24 49-28 56 0z' fill='%232563eb'/%3E%3Ccircle cx='41' cy='41' r='2' fill='%23111827'/%3E%3Ccircle cx='55' cy='41' r='2' fill='%23111827'/%3E%3Cpath d='M42 52c4 3 9 3 13 0' stroke='%2392400e' stroke-width='3' fill='none' stroke-linecap='round'/%3E%3C/svg%3E)
Reviewed by Calculator Editorial Team
Calculating the number of moles in a given mass of a compound is a fundamental chemistry skill. This calculator helps you determine how many moles are present in 10.0 grams of barium fluoride (BaF2).
Introduction
Moles are a fundamental unit in chemistry that represent a specific number of particles (Avogadro's number, 6.022 × 10²³). To find the number of moles in a sample, you need to know both the mass of the substance and its molar mass.
The molar mass of a compound is the sum of the atomic masses of all the atoms in its chemical formula. For BaF2, we calculate the molar mass by adding the atomic masses of barium (Ba) and fluorine (F).
Calculation
The number of moles (n) can be calculated using the formula:
Formula
n = mass / molar mass
Where:
- n = number of moles
- mass = mass of the substance in grams
- molar mass = molar mass of the substance in grams per mole (g/mol)
For BaF2, the molar mass is calculated as follows:
- Barium (Ba) has an atomic mass of 137.33 g/mol
- Fluorine (F) has an atomic mass of 19.00 g/mol
- Since there are two fluorine atoms in BaF2, we multiply the atomic mass of fluorine by 2
Molar Mass of BaF2
Molar mass of BaF2 = 137.33 g/mol (Ba) + 2 × 19.00 g/mol (F) = 175.33 g/mol
Worked Example
Let's calculate the number of moles in 10.0 grams of BaF2 using the formula:
Calculation
n = 10.0 g / 175.33 g/mol ≈ 0.057 mol
This means there are approximately 0.057 moles of BaF2 in 10.0 grams of the compound.
Note
The result is rounded to three significant figures, which is appropriate for the given mass value.
FAQ
What is the molar mass of BaF2?
The molar mass of BaF2 is 175.33 g/mol, calculated by adding the atomic masses of barium (137.33 g/mol) and two fluorine atoms (19.00 g/mol each).
How do I convert grams to moles?
To convert grams to moles, divide the mass in grams by the molar mass of the substance. The formula is n = mass / molar mass.
Why is the number of moles important in chemistry?
The mole is a fundamental unit in chemistry that allows scientists to count atoms, molecules, and formula units. It bridges the gap between the microscopic world of atoms and the macroscopic world of measurable quantities.