J.R. S. answered 10/24/22
Ph.D. University Professor with 10+ years Tutoring Experience
First, write the correctly balanced equation for the reaction taking place:
CaCO3 ==> CaO + CO2 ... balanced equation
Next, calculate the moles of CaCO3 that are reacting (decomposing):
molar mass CaCO3 = 100.1 g / mol
moles CaCO3 = 195 g x 1 mol / 100.1 g = 1.95 moles
Convert moles CaCO3 to moles CO2 formed (use the balance equation to do this):
1.95 mols CaCO3 x 1 mol CO2 / mol CaCO3 = 1.95 mols CO2
Finally, convert moles CO2 to liters of CO2:
At STP 1 mole of any ideal gas = 22.4 L (memorize this value)
1.95 mols CO2 x 22.4 L / mol = 43.7 L (3 sig. figs.)