QuestionMarch 20, 2026

Convert 89000 g Pb(NO_(3))_(2) to atoms

Convert 89000 g Pb(NO_(3))_(2) to atoms
Convert 89000 g Pb(NO_(3))_(2) to atoms

Solution
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Answer

1.45 \times 10^{27} atoms Explanation 1. Calculate molar mass of Pb(NO_{3})_{2} Pb: 207.2 g/mol, N: 14.01 g/mol × 2 = 28.02 g/mol, O: 16.00 g/mol × 6 = 96.00 g/mol Molar mass = 207.2 + 28.02 + 96.00 = 331.22 g/mol 2. Convert grams to moles **n = \frac{m}{M}** n = \frac{89000}{331.22} \approx 268.58 mol 3. Convert moles to molecules **Number of molecules = n \times N_A** 268.58 \times 6.022 \times 10^{23} \approx 1.616 \times 10^{26} molecules 4. Convert molecules to atoms Each molecule has 1 Pb + 2 N + 6 O = 9 atoms Atoms = 1.616 \times 10^{26} \times 9 \approx 1.454 \times 10^{27} atoms

Explanation

1. Calculate molar mass of $Pb(NO_{3})_{2}$ <br /> $Pb$: 207.2 g/mol, $N$: 14.01 g/mol × 2 = 28.02 g/mol, $O$: 16.00 g/mol × 6 = 96.00 g/mol <br /> Molar mass = $207.2 + 28.02 + 96.00 = 331.22$ g/mol <br /><br />2. Convert grams to moles <br /> **$n = \frac{m}{M}$** <br /> $n = \frac{89000}{331.22} \approx 268.58$ mol <br /><br />3. Convert moles to molecules <br /> **Number of molecules = $n \times N_A$** <br /> $268.58 \times 6.022 \times 10^{23} \approx 1.616 \times 10^{26}$ molecules <br /><br />4. Convert molecules to atoms <br /> Each molecule has $1$ Pb + $2$ N + $6$ O = $9$ atoms <br /> Atoms = $1.616 \times 10^{26} \times 9 \approx 1.454 \times 10^{27}$ atoms
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