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Phosphorus is an essential ingredient in plant fertiliser - VCE - SSCE Chemistry - Question 4 - 2011 - Paper 1

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Phosphorus is an essential ingredient in plant fertiliser. The phosphorus content in fertiliser can be determined as a percentage, by mass, of P2O5. A 3.256 g sampl... show full transcript

Worked Solution & Example Answer:Phosphorus is an essential ingredient in plant fertiliser - VCE - SSCE Chemistry - Question 4 - 2011 - Paper 1

Step 1

Calculate the mass of MgNH4PO4·6H2O

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Answer

To find the moles of the precipitate:

n(MgNH4PO46H2O)=4.141g245.3g mol1=0.0169moln(MgNH4PO4·6H2O) = \frac{4.141 \, \text{g}}{245.3 \, \text{g mol}^{-1}} = 0.0169 \, \text{mol}

Step 2

Calculate the moles of P2O5

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Using the stoichiometry of the precipitate, the moles of P2O5:

Since there is 1 mole of P2O5 in 1 mole of MgNH4PO4·6H2O, we have:

n(P2O5)=n(MgNH4PO46H2O)=0.0169moln(P2O5) = n(MgNH4PO4·6H2O) = 0.0169 \, \text{mol}

Step 3

Calculate the mass of P2O5

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Using the molar mass of P2O5:

m(P2O5)=n(P2O5)×142.0g mol1=0.0169mol×142.0g mol1=2.4028gm(P2O5) = n(P2O5) \times 142.0 \, \text{g mol}^{-1} = 0.0169 \, \text{mol} \times 142.0 \, \text{g mol}^{-1} = 2.4028 \, \text{g}

Step 4

Calculate the percentage of P2O5

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Now, calculate the percentage by mass of P2O5 in the fertiliser:

%P2O5=m(P2O5)3.256g×100=2.4028g3.256g×100=73.8%\% P2O5 = \frac{m(P2O5)}{3.256 \, \text{g}} \times 100 = \frac{2.4028 \, \text{g}}{3.256 \, \text{g}} \times 100 = 73.8\%

Step 5

Would the calculated percentage be higher, lower, or the same?

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If the precipitate collected had been heated above 100°C, it would have been converted to MgNH4PO4, thus removing the water. This would lead to a lower mass being weighed, which results in a higher amount of calculated P2O5 percentage since:

%P2O5=m(P2O5)m(MgNH4PO4)×100\% P2O5 = \frac{m(P2O5)}{m(MgNH4PO4)} \times 100 As the mass of the precipitate decreases (due to loss of water), the percentage by mass of P2O5 would be higher.

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