How many atoms are present in 7.0 moles of Ca?
Answer (2)
We are given 7.0 moles of Calcium (Ca).
Recall Avogadro's number: N A = 6.022 × 1 0 23 atoms/mole.
Multiply the number of moles of Ca by Avogadro's number to find the number of atoms: 7.0 × 6.022 × 1 0 23 = 4.2154 × 1 0 24 .
The number of atoms present in 7.0 moles Ca is 4.2154 × 1 0 24 .
Explanation
Understanding the Problem We are asked to find the number of atoms in 7.0 moles of Calcium (Ca). To do this, we need to use Avogadro's number, which is the number of atoms, molecules, or ions in one mole of a substance. Avogadro's number is approximately 6.022 \t × 1 0 23 atoms/mole.
Setting up the Calculation To find the number of atoms in 7.0 moles of Ca, we multiply the number of moles by Avogadro's number: Number of atoms = ( moles of Ca ) × ( Avogadro’s number )
Performing the Calculation Now, we plug in the values: Number of atoms = 7.0 × 6.022 × 1 0 23 Number of atoms = 4.2154 × 1 0 24 Therefore, there are approximately 4.2154 × 1 0 24 atoms in 7.0 moles of Calcium.
Final Answer So, the number of atoms present in 7.0 moles of Calcium is approximately 4.2154 × 1 0 24 atoms.
Examples
Imagine you're baking a cake and the recipe calls for a specific number of 'moles' of an ingredient, like sugar. Just as you need to know the number of sugar molecules to ensure the cake tastes right, chemists use moles to count atoms and molecules in reactions. Knowing how to convert moles to the number of atoms helps in accurately measuring reactants in a chemical reaction, ensuring the reaction proceeds as expected. For example, if a reaction requires a certain number of calcium atoms, you can calculate the mass of calcium needed by first converting the number of atoms to moles, and then moles to grams using the molar mass of calcium. This is crucial in fields like pharmaceuticals, where precise measurements are vital.
To find the number of atoms in 7.0 moles of calcium (Ca), we multiply the number of moles by Avogadro's number, approximately 6.022 × 1 0 23 atoms/mole. This gives us a total of about 4.2154 × 1 0 24 atoms of calcium. This calculation is essential for understanding chemical reactions and measurements in chemistry.
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