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In one analysis the mass of dolomite used was 3.72 g - VCE - SSCE Chemistry - Question 8 - 2005 - Paper 1

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In one analysis the mass of dolomite used was 3.72 g. The mass of calcium oxide formed was found to be 1.24 g. The percentage of calcium carbonate in the dolomite sa... show full transcript

Worked Solution & Example Answer:In one analysis the mass of dolomite used was 3.72 g - VCE - SSCE Chemistry - Question 8 - 2005 - Paper 1

Step 1

Calculate the moles of calcium oxide formed

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Answer

The molar mass of calcium oxide (CaO) is approximately 56.08 g/mol. To find the number of moles of CaO formed, use the formula:

moles of CaO=mass of CaOmolar mass of CaO=1.24g56.08g/mol0.0221moles\text{moles of CaO} = \frac{\text{mass of CaO}}{\text{molar mass of CaO}} = \frac{1.24\, g}{56.08\, g/mol} \approx 0.0221\, moles

Step 2

Determine the moles of calcium carbonate in the dolomite

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Answer

Since each mole of calcium carbonate (CaCO₃) produces one mole of calcium oxide (CaO), the moles of CaCO₃ is also 0.0221 moles.

Step 3

Calculate the mass of calcium carbonate in the dolomite

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Answer

The molar mass of calcium carbonate (CaCO₃) is approximately 100.09 g/mol. Thus, the mass of CaCO₃ is calculated as:

mass of CaCO₃=moles of CaCO₃×molar mass of CaCO₃=0.0221moles×100.09g/mol2.21g\text{mass of CaCO₃} = \text{moles of CaCO₃} \times \text{molar mass of CaCO₃} = 0.0221\, moles \times 100.09\, g/mol \approx 2.21\, g

Step 4

Compute the percentage of calcium carbonate in the dolomite sample

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Answer

To find the percentage of calcium carbonate in the dolomite sample, use the formula:

percentage of CaCO₃=(mass of CaCO₃mass of dolomite)×100=(2.21g3.72g)×10059.5%\text{percentage of CaCO₃} = \left( \frac{\text{mass of CaCO₃}}{\text{mass of dolomite}} \right) \times 100 = \left( \frac{2.21\, g}{3.72\, g} \right) \times 100 \approx 59.5\%

Thus, the percentage of calcium carbonate in the dolomite sample is closest to option D: 59.5.

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