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Question
- how many atoms are in 50.0 g of sodium (na)? 6. how many atoms are in 125 g of calcium (ca)? 7. how many atoms are in 10.5 g of helium (he)? 8. how many atoms are in 75.0 g of carbon (c)?
Question 5:
Step1: Find moles of Na
Molar mass of Na is 22.99 g/mol. Moles = mass / molar mass.
$n = \frac{50.0\ \text{g}}{22.99\ \text{g/mol}} \approx 2.175\ \text{mol}$
Step2: Find atoms using Avogadro's number
Avogadro's number $N_A = 6.022 \times 10^{23}\ \text{atoms/mol}$. Atoms = moles × $N_A$.
$N = 2.175\ \text{mol} \times 6.022 \times 10^{23}\ \text{atoms/mol} \approx 1.310 \times 10^{24}\ \text{atoms}$
Step1: Find moles of Ca
Molar mass of Ca is 40.08 g/mol. Moles = mass / molar mass.
$n = \frac{125\ \text{g}}{40.08\ \text{g/mol}} \approx 3.119\ \text{mol}$
Step2: Find atoms using Avogadro's number
Atoms = moles × $N_A$.
$N = 3.119\ \text{mol} \times 6.022 \times 10^{23}\ \text{atoms/mol} \approx 1.878 \times 10^{24}\ \text{atoms}$
Step1: Find moles of He
Molar mass of He is 4.003 g/mol. Moles = mass / molar mass.
$n = \frac{10.5\ \text{g}}{4.003\ \text{g/mol}} \approx 2.623\ \text{mol}$
Step2: Find atoms using Avogadro's number
Atoms = moles × $N_A$.
$N = 2.623\ \text{mol} \times 6.022 \times 10^{23}\ \text{atoms/mol} \approx 1.579 \times 10^{24}\ \text{atoms}$
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$\approx 1.31 \times 10^{24}$ atoms