Question : Common soda-lime-silica glass is made by melting together Na2CO3, CaCO3, and SiO2. The carbonates break down, liberating CO2 gas bubbles. For 1 kg of container glass (16 wt% Na2O, 11 wt% CaO, 73 wt% SiO2), what is the raw material batch formula (i.e., weight percent of Na2CO3, CaCO3, and SiO2)? Note Na = 22.99 amu, Ca = 40.08 amu, C = 12.01 amu.
Wt% of SiO2 in glass = 73%
Mass of glass = 1000 kg / 0.73 = 1369.86 kg
Mass of Na2O = 0.15 x 1369.86 = 205.48 kg
Mass of CaO = 1369.86 x 0.10 = 136.98 kg
Part a:
The mass of Na2CO3 = mass of Na2O * molecular weight of Na2CO3 / molecular weight of Na2O
= 205.48 * (105.99 g/mol / 61.98 g/mol)
= 351.38 kg
Part b:
Mass of CaCO3 = mass of CaO x molecular weight of CaCO3 / molecular weight of CaO
= 136.98 kg x (100.09 g/mol / 56.08 g/mol)
= 244.47 kg
Mass of SiO2 = 1000 kg
Total mass = 351.38 + 244.47 + 1000
= 1595.85 kg
Wt% of CaCO3 = 244.47 *100/ 1595.85
= 15.32%
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