How many moles are in [tex]$2.11 \times 10^{24}$[/tex] molecules of [tex]$BeF _2$[/tex]?
Answer (1)
We are given the number of molecules of B e F 2 and Avogadro's number.
We use the formula: Number of moles = Avogadro’s number Number of molecules .
Substitute the given values into the formula: Number of moles = 6.02 × 1 0 23 2.11 × 1 0 24 .
Calculate the number of moles: 3.50
Explanation
Understanding the Problem We are given 2.11 × 1 0 24 molecules of B e F 2 and we want to find out how many moles this corresponds to. We know that 1 mole of any substance contains Avogadro's number of molecules, which is approximately 6.02 × 1 0 23 molecules.
Setting up the Calculation To find the number of moles, we can set up a proportion or use the formula:
Number of moles = Avogadro’s number Number of molecules
In this case:
Number of moles = 6.02 × 1 0 23 2.11 × 1 0 24
Calculating the Number of Moles Now, we perform the calculation:
Number of moles = 6.02 × 1 0 23 2.11 × 1 0 24 ≈ 3.50
So, there are approximately 3.50 moles of B e F 2 .
Final Answer Therefore, 2.11 × 1 0 24 molecules of B e F 2 is approximately equal to 3.50 moles.
Examples
In chemistry, the concept of moles is essential for converting between the number of particles (atoms, molecules, ions) and mass. For instance, if you're conducting an experiment and need to react a specific number of B e F 2 molecules, you'd first convert that number of molecules to moles. Knowing the molar mass of B e F 2 , you can then easily weigh out the required mass of the compound. This ensures accurate stoichiometry in chemical reactions, which is crucial for obtaining desired products and yields. Moles act as a bridge between the microscopic world of atoms and molecules and the macroscopic world of measurable quantities.
