How many liters of oxygen gas (O_(2)) will produce Mograms of carbon dicxide (CO_(2)) at STP? C_(3)H_(8)+5O_(2)arrow 3CO_(2)+4H_(2)O

To determine how many liters of oxygen gas (O₂) are needed to produce a certain mass of carbon dioxide (CO₂) at standard temperature and pressure (STP), we need to follow these steps:1. **Write down the balanced chemical equation:** 2. **Calculate the molar masses of the reactants and products:** - Molar mass of (propane): - Molar mass of : - Molar mass of : 3. **Determine the number of moles of CO₂ produced:** Given that we have grams of CO₂: 4. **Use the stoichiometry of the balanced equation to find the moles of O₂ needed:** According to the balanced equation, 5 moles of produce 3 moles of . Therefore, the moles of needed are: 5. **Convert the moles of to liters at STP:** At STP (Standard Temperature and Pressure), 1 mole of any gas occupies 22.4 liters. Therefore, the volume of in liters is: Putting it all together, we get: Simplifying the expression: So, the volume of oxygen gas needed to produce grams of carbon dioxide at STP is approximately liters.