CaCO3 = CaO +CO2
after a 15.8g sample of calcium carbonate was heated in an open container to cause decompostition the mass of the remaining solid was determined to be 9.10g. calculate the mass of carbon dioxide produced.
To calculate the mass of carbon dioxide produced, we need to find the difference in mass before and after the decomposition of calcium carbonate.
Given:
Mass of calcium carbonate (CaCO₃) = 15.8g
Mass of remaining solid = 9.10g
Step 1: Calculate the mass of calcium oxide (CaO)
To find the mass of calcium oxide, we need to find the difference in mass before and after decomposition.
Mass of calcium carbonate before decomposition = 15.8g
Mass of remaining solid after decomposition = 9.10g
Mass of calcium oxide = Mass of calcium carbonate before decomposition - Mass of remaining solid after decomposition
Mass of calcium oxide = 15.8g - 9.10g
Mass of calcium oxide = 6.70g
So, the mass of calcium oxide produced is 6.70g.
Step 2: Calculate the mass of carbon dioxide (CO₂)
According to the balanced equation for the decomposition of calcium carbonate, the stoichiometric ratio between calcium carbonate and carbon dioxide is 1:1. This means that for every 1 mole of calcium carbonate, 1 mole of carbon dioxide is produced.
Molar mass of calcium carbonate (CaCO₃) = 100.1 g/mol
Molar mass of carbon dioxide (CO₂) = 44.01 g/mol
To find the mass of carbon dioxide, we can use the following equation:
Mass of carbon dioxide = (Mass of calcium oxide / Molar mass of calcium oxide) x Molar mass of carbon dioxide
Mass of carbon dioxide = (6.70g / 56.08g/mol) x 44.01g/mol
Mass of carbon dioxide = 0.1197 mol x 44.01g/mol
Mass of carbon dioxide = 5.27 g
So, the mass of carbon dioxide produced is 5.27g.
To calculate the mass of carbon dioxide (CO2) produced, we need to find the difference in mass before and after the decomposition of calcium carbonate (CaCO3).
Given:
Mass of CaCO3 = 15.8g
Mass of remaining solid (CaO) = 9.10g
Step 1: Find the mass of CaO
The mass of CaO can be determined by subtracting the mass of the remaining solid (CaO) from the initial mass of CaCO3.
Mass of CaO = Mass of CaCO3 - Mass of remaining solid
Mass of CaO = 15.8g - 9.10g
Mass of CaO = 6.7g
Step 2: Calculate the mass of CO2 produced
According to the balanced chemical equation, for the decomposition of 1 mole of CaCO3, 1 mole of CO2 is produced. The molar mass of CaCO3 is 100.09 g/mol, and the molar mass of CO2 is 44.01 g/mol.
Using the molar mass of CaCO3, we can calculate the number of moles of CaCO3:
Moles of CaCO3 = Mass of CaCO3 / Molar mass of CaCO3
Moles of CaCO3 = 15.8g / 100.09 g/mol
Moles of CaCO3 = 0.158 mol
Since the mole ratio between CaCO3 and CO2 is 1:1, the number of moles of CO2 produced will be the same as the number of moles of CaCO3 decomposed.
Moles of CO2 = Moles of CaCO3 = 0.158 mol
Now, we can calculate the mass of CO2 produced:
Mass of CO2 = Moles of CO2 × Molar mass of CO2
Mass of CO2 = 0.158 mol × 44.01 g/mol
Mass of CO2 = 6.94g
Therefore, the mass of carbon dioxide produced is approximately 6.94g.