Carbon dioxide is produced by the decomposition of calcium carbonate.

Carbon dioxide is produced by the decomposition of calcium carbonate. Calculate what mass of calcium carbonate is required to obtain carbon dioxide with a volume of 1 mv3

Given:
V (CO2) = 1 m3 = 1000 l

To find:
m (CaCO3) -?

Solution:
1) Write the reaction equation:
CaCO3 => CaO + CO2;
2) Calculate the amount of substance CO2:
n (CO2) = V (CO2) / Vm = 1000 / 22.4 = 44.64 mol;
3) Determine the amount of CaCO3 substance:
n (CaCO3) = n (CO2) = 44.64 mol;
4) Calculate the molar mass of CaCO3:
M (CaCO3) = Mr (CaCO3) = Ar (Ca) * N (Ca) + Ar (C) * N (C) + Ar (O) * N (O) = 40 * 1 + 12 * 1 + 16 * 3 = 100 g / mol;
5) Calculate the mass of CaCO3:
m (CaCO3) = n (CaCO3) * M (CaCO3) = 44.64 * 100 = 4464 g.

Answer: The mass of CaCO3 is 4464 g.