The balanced equation for considered reaction can be written as follows
P b C O 3 → t ° C P b O + C O 2 PbCO_3 \xrightarrow{t \degree C} PbO + CO_2 P b C O 3 t ° C P b O + C O 2
m ( P b C O 3 ) M ( P b C O 3 ) ⋅ n ( P b C O 3 ) = m ( P b O ) M ( P b O ) ⋅ n ( P b O ) \frac{m(PbCO_3)}{M(PbCO_3) \cdot n(PbCO_3)} = \frac{m(PbO)}{M(PbO) \cdot n(PbO)} M ( P b C O 3 ) ⋅ n ( P b C O 3 ) m ( P b C O 3 ) = M ( P b O ) ⋅ n ( P b O ) m ( P b O ) ,
where m m m - mass, g; M M M - molar mass, g/mol; n n n - number of molecules in the balanced equation.
m ( P b O ) = m ( P b C O 3 ) ⋅ M ( P b O ) ⋅ n ( P b O ) M ( P b C O 3 ) ⋅ n ( P b C O 3 ) m(PbO) = \frac{m(PbCO_3) \cdot M(PbO) \cdot n(PbO)}{M(PbCO_3) \cdot n(PbCO_3)} m ( P b O ) = M ( P b C O 3 ) ⋅ n ( P b C O 3 ) m ( P b C O 3 ) ⋅ M ( P b O ) ⋅ n ( P b O )
M ( P b C O 3 ) = 1 ⋅ 207.2 + 1 ⋅ 12.011 + 3 ⋅ 15.9994 ≈ 267.21 g / m o l M(PbCO_3) = 1 \cdot 207.2 + 1 \cdot 12.011 + 3 \cdot 15.9994 \approx 267.21 \; g/mol M ( P b C O 3 ) = 1 ⋅ 207.2 + 1 ⋅ 12.011 + 3 ⋅ 15.9994 ≈ 267.21 g / m o l
M ( P b O ) = 1 ⋅ 207.21 ⋅ 15.9994 ≈ 223.21 g / m o l M(PbO) = 1 \cdot 207.2 1 \cdot 15.9994 \approx 223.21 \; g/mol M ( P b O ) = 1 ⋅ 207.21 ⋅ 15.9994 ≈ 223.21 g / m o l
m ( P b O ) = 2.50 ⋅ 223.21 ⋅ 1 267.21 ⋅ 1 ≈ 2.09 g m(PbO) = \frac{2.50 \cdot 223.21 \cdot 1}{267.21 \cdot 1} \approx 2.09 \; g m ( P b O ) = 267.21 ⋅ 1 2.50 ⋅ 223.21 ⋅ 1 ≈ 2.09 g
Answer: 2.09 g.
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