QuestionJuly 8, 2025

How many grams are there in 5.2times 10^24 atoms of silver? (round to 4 sig figs and include units) 932.0 grams 932.02 grams 8.638 grams 8.64 grams

How many grams are there in 5.2times 10^24 atoms of silver? (round to 4 sig figs and include units) 932.0 grams 932.02 grams 8.638 grams 8.64 grams
How many grams are there in 5.2times 10^24 atoms of silver? (round to 4 sig figs and include units)
932.0 grams
932.02 grams
8.638 grams
8.64 grams

Solution
4.2(290 votes)

Answer

932.0 grams Explanation 1. Calculate moles of silver Use **Avogadro's number**: 6.022 \times 10^{23} atoms/mol. Moles = \frac{5.2 \times 10^{24}}{6.022 \times 10^{23}}. 2. Convert moles to grams Silver's molar mass is **107.87 g/mol**. Grams = moles \times 107.87 g/mol.

Explanation

1. Calculate moles of silver<br /> Use **Avogadro's number**: $6.022 \times 10^{23}$ atoms/mol. Moles = $\frac{5.2 \times 10^{24}}{6.022 \times 10^{23}}$.<br />2. Convert moles to grams<br /> Silver's molar mass is **107.87 g/mol**. Grams = moles $\times$ 107.87 g/mol.
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