Answer to Question #141837 in Chemistry for Autumn Murphy

Question #141837
Calculate the mass of lead in 139g of Pb(NO3)2
1
Expert's answer
2020-11-02T09:05:19-0500

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(NO3)2)=n(Pb)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=331.21M=331.21 g/mol:

n(Pb(NO3)2)=mM=139g331.21g/mol=0.4197n(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)=0.4197n(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=0.4197mol207.20g/mol=86.96m(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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