According to the chemical formula of Pb(NO3)2, where 1 formula unit contains 1 atom of lead, the number of the moles of lead nitrate and the number of the moles of lead are equal:
"n(Pb(NO_3)_2) =n(Pb)" .
The number of the moles of lead nitrate contained in 139 g is the ratio of its mass and its molar mass "M=331.21" g/mol:
"n(Pb(NO_3)_2) = \\frac{m}{M} = \\frac{139 \\text{g}}{331.21\\text{g\/mol}} = 0.4197" mol.
Therefore, the number of the moles of lead is :
"n(Pb) = 0.4197" mol.
The molar mass of lead is 207.20 g/mol. Thus, its mass contained in 139 g of lead nitrate is:
"m(Pb) = nM = 0.4197\\text{mol}\\cdot207.20\\text{g\/mol}=86.96" , or 87 g.
Answer: 87 g of lead is contained in 139 g of Pb(NO3)2.
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