6. The carbon dioxide gas in a half-liter bottle of Coke has a volume of 5.09 L at STP. How many grams of CO₂ are in this amount of soda?

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### Chemistry Problem - Carbon Dioxide in Soda

**Question:**
The carbon dioxide gas in a half-liter bottle of Coke has a volume of 5.09 L at STP (Standard Temperature and Pressure). How many grams of CO₂ are in this amount of soda?

**Explanation:**
This question involves understanding the relationship between the volume of a gas at standard conditions and its mass. At STP (0°C and 1 atm pressure), 1 mole of any ideal gas occupies a volume of 22.4 liters. To find out how many grams of CO₂ are in 5.09 liters, follow these steps:

1. **Calculate the number of moles:**
   - Use the molar volume of a gas at STP.
   - Molar volume (22.4 L/mol CO₂) and the given volume (5.09 L).
   - \[
   \text{Moles of CO₂} = \frac{5.09 \text{ L}}{22.4 \text{ L/mol}} = 0.227 \text{ mol}
   \]

2. **Convert moles to grams:**
   - Use the molar mass of CO₂ (approximately 44.01 g/mol).
   - \[
   \text{Grams of CO₂} = 0.227 \text{ mol} \times 44.01 \text{ g/mol} = 9.99 \text{ g}
   \]

Therefore, the carbon dioxide gas in a half-liter bottle of Coke contains approximately 9.99 grams of CO₂ at STP.
Transcribed Image Text:### Chemistry Problem - Carbon Dioxide in Soda **Question:** The carbon dioxide gas in a half-liter bottle of Coke has a volume of 5.09 L at STP (Standard Temperature and Pressure). How many grams of CO₂ are in this amount of soda? **Explanation:** This question involves understanding the relationship between the volume of a gas at standard conditions and its mass. At STP (0°C and 1 atm pressure), 1 mole of any ideal gas occupies a volume of 22.4 liters. To find out how many grams of CO₂ are in 5.09 liters, follow these steps: 1. **Calculate the number of moles:** - Use the molar volume of a gas at STP. - Molar volume (22.4 L/mol CO₂) and the given volume (5.09 L). - \[ \text{Moles of CO₂} = \frac{5.09 \text{ L}}{22.4 \text{ L/mol}} = 0.227 \text{ mol} \] 2. **Convert moles to grams:** - Use the molar mass of CO₂ (approximately 44.01 g/mol). - \[ \text{Grams of CO₂} = 0.227 \text{ mol} \times 44.01 \text{ g/mol} = 9.99 \text{ g} \] Therefore, the carbon dioxide gas in a half-liter bottle of Coke contains approximately 9.99 grams of CO₂ at STP.
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