1. Write the balanced chemical equation:
The reaction between ethene (C₂H₄) and oxygen (O₂) produces carbon dioxide (CO₂) and water (H₂O):
C₂H₄ + 3O₂ → 2CO₂ + 2H₂O
2. Determine the mole ratio:
From the balanced equation, we see that 1 mole of C₂H₄ reacts with 3 moles of O₂.
3. Calculate the moles of O₂ needed:
Since we have 1.50 moles of C₂H₄, we need:
1.50 moles C₂H₄ × (3 moles O₂ / 1 mole C₂H₄) = 4.50 moles O₂
4. Apply the Ideal Gas Law:
At STP (Standard Temperature and Pressure):
* Temperature (T) = 273.15 K
* Pressure (P) = 1 atm
* Ideal gas constant (R) = 0.0821 L·atm/mol·K
The Ideal Gas Law is: PV = nRT
We can rearrange this to solve for volume (V):
V = nRT / P
5. Calculate the volume of O₂:
V = (4.50 moles)(0.0821 L·atm/mol·K)(273.15 K) / (1 atm)
V ≈ 101 L
Therefore, you need approximately 101 liters of oxygen at STP to react with 1.50 moles of ethene.