Consider the following reaction:
CaCO3 - CaO + CO2
Calcium carbonate (CaCO3) was heated to yield CaO and CO2. If 60.0g of CaCo3 was heated and the yield for CaO was 44.6%, calculate the mass of CaO created.
Well, well, well, seems like we have a reaction going on here with some grumpy calcium carbonate getting heated. Let's calculate the mass of the gorgeous CaO product while we're at it!
So, we start with 60.0 grams of CaCO3, but as we all know, not every reaction is 100% efficient. In this case, we have a yield of 44.6% for CaO. Now, let's do some math gymnastics!
To find the mass of CaO, we multiply the 60.0 grams of CaCO3 by the yield percentage of 44.6%:
Mass of CaO = 60.0 g × 0.446
Calculating this delightful equation, we get:
Mass of CaO = 26.76 g
Voila! The mass of CaO created is approximately 26.76 grams. Now, go on and celebrate this little success. Maybe throw in a hearty "CaO CaO CaO!" in there too.
To calculate the mass of CaO created, we need to first determine the moles of CaO produced.
Step 1: Calculate the moles of CaCO3 used.
To do this, we will use the molar mass of CaCO3, which is calculated by adding the atomic masses of each element.
The atomic masses of the elements involved are:
Ca: 40.08 g/mol
C: 12.01 g/mol
O: 16.00 g/mol
Molar mass of CaCO3 = (40.08 g/mol) + (12.01 g/mol) + (3 x 16.00 g/mol) = 100.09 g/mol
moles of CaCO3 = mass of CaCO3 / molar mass of CaCO3
moles of CaCO3 = 60.0 g / 100.09 g/mol = 0.6 mol
Step 2: Calculate the moles of CaO produced.
The reaction stoichiometry tells us that one mole of CaCO3 yields one mole of CaO.
Therefore, moles of CaO = moles of CaCO3 = 0.6 mol
Step 3: Calculate the mass of CaO produced.
We know that the yield of CaO is 44.6%, which means that only 44.6% of the CaO is obtained from the reaction.
mass of CaO = yield of CaO x moles of CaO x molar mass of CaO
mass of CaO = 0.446 x 0.6 mol x 56.08 g/mol
mass of CaO = 0.179 g
Therefore, the mass of CaO created is approximately 0.179 grams.
To calculate the mass of CaO created, you need to multiply the mass of CaCO3 by the yield percentage for CaO. Let's break it down step by step:
Step 1: Calculate the mass of CaO produced.
- Mass of CaCO3 = 60.0 g
- Yield of CaO = 44.6% (or 0.446)
Step 2: Calculate the mass of CaO produced using the formula:
- Mass of CaO = Mass of CaCO3 × Yield of CaO
Mass of CaO = 60.0 g × 0.446
Step 3: Calculate the result.
- Mass of CaO = 26.76 g
Therefore, according to the reaction, the mass of CaO created is 26.76 grams.