CaCO3 (s) ---> CaO(s) + CO2(g)
Calculate the yearly release of CO2 (in kilograms)to the atmosphere if the annual production of CaO is
1.9 x 10^10 kg
Pay attention to the units.
1) convert 1.9 x 10^10 kg CaO2 to grams by multiplying by 1000
(1.9 x 10^10 kg CaO2)(1000 g/ 1 kg)
2) convert grams CaO2 to moles by dividing my the molar mass of CaO
(__g CaO)/(1 mol/molar mass CaO)
3) convert mol CaO2 to mol CO2 by the mol ratio (look at the coefficient of the balanced equation)
CaCO3 (s) ---> 1 CaO(s) + 1 CO2(g)
there's 1 mol CaO for every 1 mol CO2
(__mol CaO)/ (1 mol CO2/ 1 mol CaO)
4) convert mol CO2 to grams and then to kilograms by first multiplying by the molar mass of CO2 and then dividing by 1000
(__mol CO2)(molar mass CO2/ 1 mol CO2)(1 kg/ 1000 g)
1.63x10^10
To calculate the yearly release of CO2 to the atmosphere, we need to determine the molar ratio between CaO and CO2 in the given reaction. From the balanced equation:
CaCO3 (s) ---> CaO(s) + CO2(g)
We can see that 1 mole of CaCO3 produces 1 mole of CaO and 1 mole of CO2.
Now, let's calculate the number of moles of CaO produced from the given annual production value:
1.9 x 10^10 kg x (1 mol CaO / molar mass of CaO)
The molar mass of CaO is 56.08 g/mol, which is equal to 0.05608 kg/mol. Therefore:
1.9 x 10^10 kg x (1 mol CaO / 0.05608 kg CaO/mol)
This calculation will give us the number of moles of CaO produced annually. Since the molar ratio between CaO and CO2 is 1:1, the number of moles of CO2 released will be the same.
Finally, we can calculate the mass of CO2 released annually using the molar mass of CO2, which is 44.01 g/mol (or 0.04401 kg/mol):
Number of moles of CO2 = Number of moles of CaO produced
Mass of CO2 released = Number of moles of CO2 x molar mass of CO2
So, to get the annual release of CO2 in kilograms:
Mass of CO2 released = Number of moles of CO2 x molar mass of CO2
Keep in mind that this calculation assumes a complete conversion of CaCO3 to CaO and CO2, which may not be the case in actual production.