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A soluble fertiliser contains phosphorus in the form of phosphate ions (PO₄³⁻) - VCE - SSCE Chemistry - Question 3 - 2006 - Paper 1

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A soluble fertiliser contains phosphorus in the form of phosphate ions (PO₄³⁻). To determine the PO₄³⁻ content by gravimetric analysis, 5.97 g of the fertiliser powd... show full transcript

Worked Solution & Example Answer:A soluble fertiliser contains phosphorus in the form of phosphate ions (PO₄³⁻) - VCE - SSCE Chemistry - Question 3 - 2006 - Paper 1

Step 1

a. Calculate the amount, in mole, of Mg₂P₂O₇.

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Answer

To find the amount in moles of Mg₂P₂O₇, use the formula:

n=mMn = \frac{m}{M}

Where:

  • nn is the number of moles
  • mm is the mass (0.352 g)
  • MM is the molar mass of Mg₂P₂O₇.

Calculating the molar mass:

  • Mg: 24.31 g/mol (2 atoms) = 48.62 g/mol
  • P: 30.97 g/mol (2 atoms) = 61.94 g/mol
  • O: 16.00 g/mol (7 atoms) = 112.00 g/mol

The total molar mass of Mg₂P₂O₇ is:

M=48.62+61.94+112.00=222.56g/molM = 48.62 + 61.94 + 112.00 = 222.56 \, \text{g/mol}

Now substitute values:

n=0.352222.56=0.00158molesn = \frac{0.352}{222.56} = 0.00158 \, \text{moles}.

Thus, the amount in moles of Mg₂P₂O₇ is approximately 0.00158 moles.

Step 2

b. Calculate the amount, in mole, of phosphorus in the 20.00 mL volume of solution.

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The amount of phosphorus can be calculated using the stoichiometry of the reaction. Each mole of MgNH₄PO₄ contains one mole of phosphorus.

From part a, the moles of MgNH₄PO₄ precipitated is equal to the moles of Mg₂P₂O₇ formed:

nP=0.00158moles.n_{P} = 0.00158 \, \text{moles}.

Therefore, there are also 0.00158 moles of phosphorus in the 20.00 mL volume of solution.

Step 3

c. Calculate the amount, in mole, of phosphorus in 5.97 g of fertiliser.

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From the initial solubility, the moles of phosphorus in the total sample can be calculated.

The 20.00 mL solution represents 1/12.5 (since 250 mL is the total), so:

nfertiliser=0.00158imes12.5=0.01975moles.n_{fertiliser} = 0.00158 imes 12.5 = 0.01975 \, \text{moles}.

Thus, the amount in moles of phosphorus in 5.97 g of fertiliser is approximately 0.01975 moles.

Step 4

d. Calculate the percentage of phosphate ions (PO₄³⁻) by mass in the fertiliser.

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The mass of phosphorus can be derived from the number of moles:

mP=nP×MP=0.01975moles×30.97g/mol=0.612g.m_{P} = n_{P} \times M_{P} = 0.01975 \, \text{moles} \times 30.97 \, \text{g/mol} = 0.612 \, \text{g}.

The mass percentage of phosphate ions in the fertiliser:

Percentage=(mPmfertiliser)×100=(0.6125.97)×10010.24%. \text{Percentage} = \left( \frac{m_{P}}{m_{fertiliser}} \right) \times 100 = \left( \frac{0.612}{5.97} \right) \times 100 \approx 10.24\%.

Step 5

e. i. A. The MgNH₄PO₄ precipitate was not washed with water.

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If the precipitate is not washed, impurities may be included in the mass measurement of Mg₂P₂O₇, leading to an inaccurately low calculation of the phosphate percentage.

Step 6

e. i. B. The conical flask had been previously washed with water but not dried.

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Water left in the flask will dilute the precipitate, resulting in a calculated percentage that is too low since the mass of the dry precipitate would appear to be less.

Step 7

e. i. C. A 25.00 mL pipette was unknowingly used instead of a 20.00 mL pipette.

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Using a larger volume will dilute the phosphates in the analysis. Therefore, the calculated percentage will be too low compared to using the correct volume.

Step 8

e. i. D. The mass of the fertiliser was recorded incorrectly. The recorded mass was 0.2 g.

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If the fertiliser mass is recorded too low, the percentage of phosphates will be calculated as higher than it truly is.

Step 9

e. ii. In the case of action B above, explain your reasoning for the answer that you have given.

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The residual water in the conical flask increases the overall mass without contributing any phosphate content, which distorts the actual mass of the Mg₂P₂O₇ precipitate, thereby leading to a lower calculated percentage of phosphate ions.

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