what is the maximum amount of CO2 which
could be formed from 13.18 g of C3H8 and
9.15 g of O2?C3H8 + 5O2 ! 3CO2 + 4H2O,
To determine the maximum amount of CO2 that can be formed from the given reactants C3H8 and O2, you need to perform a stoichiometric calculation. This calculation involves converting the given amounts of reactants into the moles and then comparing the mole ratios mentioned in the balanced chemical equation.
1. Start by balancing the chemical equation to ensure that the number of atoms on both sides of the equation is equal:
C3H8 + 5O2 -> 3CO2 + 4H2O
2. Calculate the molar mass of each compound:
- C3H8 (propane) has a molar mass of 44.01 g/mol (12.01 g/mol for carbon + 3 * 1.01 g/mol for hydrogen).
- O2 (oxygen gas) has a molar mass of 32.00 g/mol.
- CO2 (carbon dioxide) has a molar mass of 44.01 g/mol.
3. Convert the given masses of C3H8 and O2 into moles using their respective molar masses:
- Moles of C3H8 = mass / molar mass = 13.18 g / 44.01 g/mol = 0.2992 mol (rounded to four decimal places).
- Moles of O2 = mass / molar mass = 9.15 g / 32.00 g/mol = 0.2844 mol (rounded to four decimal places).
4. Use the stoichiometric ratios to determine the maximum amount of CO2 that can be formed:
From the balanced equation, it is known that 1 mole of C3H8 reacts with 3 moles of CO2.
Therefore, the maximum moles of CO2 formed from C3H8 = moles of C3H8 * (3 moles CO2 / 1 mole C3H8) = 0.2992 mol * (3/1) = 0.8976 mol.
From the balanced equation, it is known that 5 moles of O2 react with 3 moles of CO2.
Therefore, the maximum moles of CO2 formed from O2 = moles of O2 * (3 moles CO2 / 5 moles O2) = 0.2844 mol * (3/5) = 0.17064 mol.
5. Calculate the total moles of CO2 formed:
Total moles of CO2 = moles from C3H8 + moles from O2 = 0.8976 mol + 0.17064 mol = 1.06824 mol (rounded to five decimal places).
6. Finally, convert the moles of CO2 into grams using the molar mass of CO2:
Mass of CO2 = moles of CO2 * molar mass = 1.06824 mol * 44.01 g/mol = 47.04 g (rounded to two decimal places).
Therefore, the maximum amount of CO2 that can be formed from 13.18 g of C3H8 and 9.15 g of O2 is approximately 47.04 grams.