The burning of 18.0 g of carbon produces 55.0 g of carbon dioxide. What is the
theoretical yield of CO2? Calculate the percent yield of CO2.
To calculate the theoretical yield of CO2, we need to determine the maximum amount of CO2 that can be produced from the given amount of carbon.
1. Start by calculating the molar mass of carbon (C):
- The atomic mass of carbon is 12.01 g/mol.
2. Convert the mass of carbon (18.0 g) to moles:
- Divide the mass of carbon by its molar mass to get the number of moles.
- Moles of carbon = Mass of carbon / Molar mass of carbon
3. Use the balanced chemical equation for the combustion of carbon:
C + O2 -> CO2
- According to the balanced equation, 1 mole of carbon reacts with 1 mole of oxygen to produce 1 mole of CO2.
4. Determine the number of moles of CO2 that can be produced:
- Since the mole ratio of carbon to CO2 is 1:1, the number of moles of CO2 will be the same as the number of moles of carbon.
5. Convert the moles of CO2 to grams:
- Multiply the number of moles of CO2 by the molar mass of CO2 to get the mass.
- Mass of CO2 = Moles of CO2 * Molar mass of CO2.
Now, let's calculate the theoretical yield of CO2:
1. Molar mass of carbon (C): 12.01 g/mol
2. Moles of carbon = Mass of carbon / Molar mass of carbon
Moles of carbon = 18.0 g / 12.01 g/mol ≈ 1.499 moles
3. Moles of CO2 produced = Moles of carbon
Moles of CO2 = 1.499 moles
4. Molar mass of CO2: The atomic masses of carbon (C) and oxygen (O) are 12.01 g/mol and 16.00 g/mol, respectively.
Molar mass of CO2 = (1 * 12.01 g/mol) + (2 * 16.00 g/mol)
Molar mass of CO2 ≈ 44.01 g/mol
5. Mass of CO2 = Moles of CO2 * Molar mass of CO2
Mass of CO2 = 1.499 moles * 44.01 g/mol ≈ 66.00 g
The theoretical yield of CO2 is approximately 66.00 g.
To calculate the percent yield of CO2, we also need the actual yield. If the actual yield is not provided, we cannot calculate the percent yield.
To calculate the theoretical yield of CO2, we need to determine the maximum amount of CO2 that can be produced from the given amount of carbon.
1. Determine the molar mass of carbon (C):
- The atomic mass of carbon (C) is approximately 12.01 g/mol.
2. Convert the given mass of carbon (18.0 g) to moles:
- Moles = Mass / Molar Mass
- Moles of carbon (C) = 18.0 g / 12.01 g/mol
3. The balanced chemical equation for the combustion of carbon is:
C + O2 -> CO2
From the equation, we can see that 1 mole of carbon (C) produces 1 mole of CO2.
4. Calculate the moles of CO2 produced:
- Moles of CO2 = Moles of carbon (C)
5. Convert the moles of CO2 to grams:
- Mass = Moles * Molar Mass
- Mass of CO2 = Moles of CO2 * Molar Mass of CO2
6. Determine the molar mass of CO2:
- The molar mass of CO2 is approximately 44.01 g/mol.
7. Calculate the theoretical yield of CO2:
- Theoretical Yield = Mass of CO2
To calculate the percent yield of CO2, we need to compare the actual yield (55.0 g) to the theoretical yield and calculate the percentage:
1. Calculate the percent yield:
- Percent Yield = (Actual Yield / Theoretical Yield) * 100
Plug in the numbers and perform the calculations to find the answers.
Write the equation.
Convert 18.0 g C to mols.
Covert mols C to mols CO2 using the coefficients in the balanced equation.
Convert mols CO2 to grams. That will give you the theoretical yield. Then percent yield = [actual amount/theoretical] * 100
Post your work if you get stuck.