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Calcium carbonate, CaCO₃, decomposes when heated - OCR Gateway - GCSE Chemistry: Combined Science - Question 7 - 2019 - Paper 3

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Calcium carbonate, CaCO₃, decomposes when heated. Calcium oxide, CaO, and carbon dioxide, CO₂, are made. Look at the equation for the reaction. CaCO₃ → CaO + CO₂ ... show full transcript

Worked Solution & Example Answer:Calcium carbonate, CaCO₃, decomposes when heated - OCR Gateway - GCSE Chemistry: Combined Science - Question 7 - 2019 - Paper 3

Step 1

Calculate the moles of CaCO₃ used

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Answer

To find the moles of CaCO₃, we use the molar mass of calcium carbonate, which is approximately 100.1 g/mol. The formula for calculating moles is:

n=massmolar massn = \frac{mass}{molar\ mass}

Calculating:

nCaCO3=20.0g100.1g/mol0.1997moln_{CaCO₃} = \frac{20.0 g}{100.1 g/mol} \approx 0.1997 mol

Step 2

Calculate the moles of CaO produced

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Answer

From the balanced equation, 1 mole of CaCO₃ produces 1 mole of CaO. Since 11.2 g of CaO is produced, we calculate the moles of CaO:

The molar mass of CaO is approximately 56.1 g/mol.

Calculating:

nCaO=11.2g56.1g/mol0.1994moln_{CaO} = \frac{11.2 g}{56.1 g/mol} \approx 0.1994 mol

Step 3

Determine the moles of CO₂ produced

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Answer

Using the stoichiometric ratio from the balanced equation, 1 mole of CaCO₃ produces 1 mole of CO₂. Therefore, the moles of CO₂ produced is equal to the moles of CaCO₃ used:

nCO2=nCaCO3nCaO0.1997mol0.1994mol=0.0003moln_{CO₂} = n_{CaCO₃} - n_{CaO} \approx 0.1997 mol - 0.1994 mol = 0.0003 mol

Step 4

Calculate the mass of CO₂ produced

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Answer

To find the mass of CO₂, we can use the molar mass of CO₂, which is approximately 44.0 g/mol:

massCO2=nCO2×molar massCO2=0.0003mol×44.0g/mol0.0132gmass_{CO₂} = n_{CO₂} \times molar\ mass_{CO₂} = 0.0003 mol \times 44.0 g/mol \approx 0.0132 g

However, if we look at the totals, considering the mass loss from decarbonation:

Total mass of CaCO₃ used = 20.0 g Mass of CaO made = 11.2 g Mass of CO₂ produced:

massCO2=20.0g11.2g=8.8gmass_{CO₂} = 20.0 g - 11.2 g = 8.8 g

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