QuestionMay 15, 2025

Determine how many atoms or moles are in problems (11-14) 11) How many atoms are in 4.5 moles of Carbon? 12) How many atoms are in 2.8 moles of Oxygen? 13) How many moles are in 2.2times 10^24 atoms of Hydrogen? 14) How many moles are in 6.4times 10^24 atoms of Calcium?

Determine how many atoms or moles are in problems (11-14) 11) How many atoms are in 4.5 moles of Carbon? 12) How many atoms are in 2.8 moles of Oxygen? 13) How many moles are in 2.2times 10^24 atoms of Hydrogen? 14) How many moles are in 6.4times 10^24 atoms of Calcium?
Determine how many atoms or moles are in problems (11-14)
11) How many atoms are in 4.5 moles of Carbon?
12) How many atoms are in 2.8 moles of Oxygen?
13) How many moles are in 2.2times 10^24 atoms of Hydrogen?
14) How many moles are in 6.4times 10^24 atoms of Calcium?

Solution
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Answer

11) 2.71 \times 10^{24} atoms ### 12) 1.69 \times 10^{24} atoms ### 13) 3.65 moles ### 14) 10.63 moles Explanation 1. Use Avogadro's Number for Atoms **Avogadro's number** is 6.022 \times 10^{23} atoms/mole. Multiply moles by this number to find atoms. 2. Calculate Atoms for Carbon For 4.5 moles of Carbon: 4.5 \text{ moles} \times 6.022 \times 10^{23} \text{ atoms/mole} = 2.71 \times 10^{24} \text{ atoms}. 3. Calculate Atoms for Oxygen For 2.8 moles of Oxygen: 2.8 \text{ moles} \times 6.022 \times 10^{23} \text{ atoms/mole} = 1.69 \times 10^{24} \text{ atoms}. 4. Convert Atoms to Moles for Hydrogen Divide atoms by Avogadro's number: \frac{2.2 \times 10^{24} \text{ atoms}}{6.022 \times 10^{23} \text{ atoms/mole}} = 3.65 \text{ moles}. 5. Convert Atoms to Moles for Calcium Divide atoms by Avogadro's number: \frac{6.4 \times 10^{24} \text{ atoms}}{6.022 \times 10^{23} \text{ atoms/mole}} = 10.63 \text{ moles}.

Explanation

1. Use Avogadro's Number for Atoms<br /> **Avogadro's number** is $6.022 \times 10^{23}$ atoms/mole. Multiply moles by this number to find atoms.<br /><br />2. Calculate Atoms for Carbon<br /> For 4.5 moles of Carbon: $4.5 \text{ moles} \times 6.022 \times 10^{23} \text{ atoms/mole} = 2.71 \times 10^{24} \text{ atoms}$.<br /><br />3. Calculate Atoms for Oxygen<br /> For 2.8 moles of Oxygen: $2.8 \text{ moles} \times 6.022 \times 10^{23} \text{ atoms/mole} = 1.69 \times 10^{24} \text{ atoms}$.<br /><br />4. Convert Atoms to Moles for Hydrogen<br /> Divide atoms by Avogadro's number: $\frac{2.2 \times 10^{24} \text{ atoms}}{6.022 \times 10^{23} \text{ atoms/mole}} = 3.65 \text{ moles}$.<br /><br />5. Convert Atoms to Moles for Calcium<br /> Divide atoms by Avogadro's number: $\frac{6.4 \times 10^{24} \text{ atoms}}{6.022 \times 10^{23} \text{ atoms/mole}} = 10.63 \text{ moles}$.
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