Answer:
179 L
Step-by-step explanation:
We are given;
The equation for the combustion of ethane.;
2C₂H₆(g)+7O₂g)→4CO₂(g)+6H₂O(l)
Volume of ethane gas used as 89.5 L
We are required to determine the volume of carbon dioxide produced;
Step 1: Determine the number of moles of ethane gas
According to the molar gas volume, 1 mole of a gas occupies a volume of 22.4 L at STP.
Therefore;
Number of moles of ethane = Volume given/molar gas volume
Thus;
Moles of ethane = 89.5 L ÷ 22.4 L
= 3.9955
= 4.0 moles
Step 2: Determine the number of moles of CO₂ produced
From the equation,
12 moles of ethane reacts to produce 4 moles of carbon dioxide
Thus; Moles of CO₂ = Moles of ethane × 2
= 4.0 moles × 2
= 8.0 moles
Step 3: Volume of CO₂ produced
We know that;
1 mole of a gas = 22.4 L at STP
Therefore;
Volume of CO₂ = 8.0 moles × 22.4 L/mol
= 179.2 L
= 179 L
Therefore, the volume of CO₂ is 179 L