In industry, quicklime is obtained by calcining limestone at a high temperature. Calculate the yield of the product
In industry, quicklime is obtained by calcining limestone at a high temperature. Calculate the yield of the product of this reaction, if quicklime weighing 798 kg is obtained from limestone weighing 1500 kg
1. Let’s compose the equation for calcining limestone:
CaCO3 = CaO + CO2 ↑;
2.Calculate the theoretical chemical amount of calcium carbonate:
ntheor (CaCO3) = m (CaCO3): M (CaCO3);
M (CaCO3) = 40 + 12 + 3 * 16 = 100 g / mol;
ntheor (CaCO3) = 1500: 100 = 15 kmol;
3. Determine the theoretical amount and mass of quicklime:
ntheor (CaO) = ntheor (CaCO3) = 15 kmol;
mtheor (CaO) = ntheor (CaO) * M (CaO);
M (CaO) = 40 + 16 = 56 g / mol;
mtheor (CaO) = 15 * 56 = 840 kg;
4. calculate the product yield:
ν (CaO) = mpract (CaO): mtheor (CaO) = 798: 840 = 0.95 or 95%.
Answer: 95%.