Given the balanced equation: C2H4 + 3O2 �¨ 2CO2 + 2H2O
How many liters of CO2 are produced when 15 liters of O2 are consumed?
10 Liters.
10l
To find the number of liters of CO2 produced when 15 liters of O2 are consumed, we can use the balanced equation.
The balanced equation shows that 1 mole of C2H4 reacts with 3 moles of O2 to produce 2 moles of CO2. We can use the stoichiometric ratios from the balanced equation to set up a proportion.
Step 1: Find the number of moles of O2 in 15 liters.
To do this, we need to know the molar volume of a gas at standard temperature and pressure (STP). At STP, one mole of any gas occupies 22.4 liters. Therefore, we can calculate the number of moles of O2 in 15 liters by dividing 15 liters by 22.4 liters/mol.
Number of moles of O2 = 15 liters / 22.4 liters/mol
Step 2: Use the stoichiometry from the balanced equation to find the number of moles of CO2 produced.
According to the balanced equation, 3 moles of O2 react to produce 2 moles of CO2. So, the number of moles of CO2 produced can be calculated using the proportion:
(Number of moles of CO2) / 2 = (Number of moles of O2) / 3
Number of moles of CO2 = (Number of moles of O2) * (2/3)
Step 3: Convert the number of moles of CO2 to liters.
Since we know that one mole of any gas occupies 22.4 liters at STP, we can convert the number of moles of CO2 to liters by multiplying the number of moles by 22.4 liters/mol.
Number of liters of CO2 = (Number of moles of CO2) * 22.4 liters/mol
By following these steps, you can find the number of liters of CO2 produced when 15 liters of O2 are consumed.
As the volume of a gas is directly related to the number of moles then
as 3 moles of O2-> 2 moles of CO2
then 3 volumes of O2 -> 2 volumes of CO2
hence 15 volumes of O2 -> ? volumes of CO2