Question #80429

Fe(NO3)3 (aq) + Na3PO4 (aq) ——> FePO4 + 3NaNO3 (aq)
assuming a percentage yield of 90 percent, what mass of ferric nitrate must be reacted with an excess of sodium phosphate to produce 54 g of ferric phosphate? The MWs are Fe(NO3)3 = 242 g, and FePO4 is 151 g.

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Expert's answer

2018-09-04T05:01:50-0400

Fe(NO3)3 (aq) + Na3PO4 (aq) --> FePO4 + 3NaNO3 (aq) assuming a percentage yield of 90 percent, what mass of ferric nitrate must be reacted with an excess of sodium phosphate to produce 54 g of ferric phosphate? The MWs are Fe(NO3)3 = 242 g, and FePO4 is 151 g.

Solution. We find the amount of iron phosphate: n(FePO4)=m(FePO4)M(FePO4)n(\mathrm{FePO}_4) = \frac{m(\mathrm{FePO}_4)}{M(\mathrm{FePO}_4)}, where m(FePO4)m(\mathrm{FePO}_4) - mass of iron phosphate, g; M(FePO4)M(\mathrm{FePO}_4) - molar weight of iron phosphate, g/mol. Then n(FePO4)=54151=0.36n(\mathrm{FePO}_4) = \frac{54}{151} = 0.36 mol. By the reaction equation at 100% reaction yield n(FePO4)=n(Fe(NO3)3)n(\mathrm{FePO}_4) = n(\mathrm{Fe(NO}_3)_3). In this case, we have a yield of 90%, then n(Fe(NO3)3)=n(FePO4)0.9=0.360.9=0.4n(\mathrm{Fe(NO}_3)_3) = \frac{n(\mathrm{FePO}_4)}{0.9} = \frac{0.36}{0.9} = 0.4 mol. The mass of iron nitrate is calculated as: m(Fe(NO3)3)=n(Fe(NO3)3)×M(Fe(NO3)3)=0.4×242=96.8m(\mathrm{Fe(NO}_3)_3) = n(\mathrm{Fe(NO}_3)_3) \times M(\mathrm{Fe(NO}_3)_3) = 0.4 \times 242 = 96.8 g.

Answer: 96.8 g.

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