A 10g of limestone is treated with dilute hydrochloric acid.The liberated gas measured at 27°C and 750mmHg is 18.5dm^3.Find the percentage purity of calcium carbonate.​

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Your question's data is not correct, it should be 100 grams of limestone instead of 10 grams, You will find the correct solution below according to that.

The percentage purity of calcium carbonate is 82.5%

The balanced chemical equation is

CaCO₃ + 2HCl  →  CaCl₂ + H₂O + CO₂

Because CO₂ is a gas, you can easily convert it to mole directly

No. of mol of CO₂ = volume dm³ /22.4 dm³

No. of mol of CO₂ = 8.5 dm³ / 22.4 dm³

No. of mol of CO₂ = 0.825 mol

According to equation 1 mole of CO2 is made from 1 mole of CaCO3

So, 0.825 mole of CO2 will be made from 0.825 mole of CaCO3

Mass of CaCO3 = moles of CaCO3 × Molar mass of CaCO3

Mass of CaCO3 = 0.825 × 100 grams

Mass of CaCO3 = 82.5 grams

Percentage purity of CaCO3 = (mass of CaCO3/Total mass of CaCO3) × 100

Percentage purity of CaCO3 = (82.5/100) × 100 %

Percentage purity of CaCO3 = 82.5 %

Thus we can say that as percentage purity is the percentage of mass of pure compound on per unit of total compound, the percentage purity of the calcium carbonate will be 82.5 %

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