QuestionApril 19, 2026

How many grams are in 7.91times 10^21 atoms of Scandium?

How many grams are in 7.91times 10^21 atoms of Scandium?
How many grams are in 7.91times 10^21 atoms of Scandium?

Solution
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Answer

0.590\ \text{g} Explanation 1. Convert atoms to moles Use ** \text{moles} = \frac{\text{atoms}}{6.022\times 10^{23}}**. \text{moles} = \frac{7.91\times 10^{21}}{6.022\times 10^{23}} = 0.01313\ \text{mol} 2. Convert moles to grams Molar mass of Scandium ≈ 44.96\ \text{g/mol}. \text{mass} = 0.01313\ \text{mol} \times 44.96\ \text{g/mol} = 0.590\ \text{g}

Explanation

1. Convert atoms to moles <br /> Use **$ \text{moles} = \frac{\text{atoms}}{6.022\times 10^{23}}$**. <br />$ \text{moles} = \frac{7.91\times 10^{21}}{6.022\times 10^{23}} = 0.01313\ \text{mol}$ <br /><br />2. Convert moles to grams <br /> Molar mass of Scandium ≈ $44.96\ \text{g/mol}$. <br />$ \text{mass} = 0.01313\ \text{mol} \times 44.96\ \text{g/mol} = 0.590\ \text{g}$
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