Questions: How many atoms of zinc are in a 3 mole sample of zinc?

Transcript text: How many atoms of zinc are in a 3 mole sample of zinc?

Solution

Step 1: Understand the Relationship Between Moles and Atoms

Recognize that one mole of any substance contains Avogadro's number of entities, which is \( 6.022 \times 10^{23} \) atoms/molecules.

Step 2: Calculate the Number of Atoms in One Mole of Zinc

Since 1 mole of zinc contains \( 6.022 \times 10^{23} \) atoms, use this as a conversion factor.

Step 3: Calculate the Number of Atoms in 3 Moles of Zinc

Multiply the number of moles (3 moles) by Avogadro's number to find the total number of atoms: \[ 3 \, \text{moles} \times 6.022 \times 10^{23} \, \text{atoms/mole} = 1.8066 \times 10^{24} \, \text{atoms} \]

\(\boxed{1.8066 \times 10^{24}}\)

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