21. At STP, how many moles are in these volumes of gases? a. 67.2 L SO₂ b. 0.880 L He c. 1.00 × 10³ L C₂H6

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**Chemical Quantities at STP**

In gas chemistry, standard temperature and pressure (STP) conditions greatly simplify volume-to-mole conversions. At STP, the molar volume of a gas is 22.4 liters per mole. This relationship holds true for any ideal gas.

### Example Calculation:

For sulfur dioxide (\(SO_2\)), you can determine the volume it occupies at STP if you know the amount in moles. Use the conversion factor: 

\[ \text{22.4 L } SO_2 \text{ per mole} \]

**Given:** 0.60 mol \(SO_2\)

To find the volume:

\[ 0.60 \text{ mol } SO_2 \times \frac{22.4 \text{ L } SO_2}{1 \text{ mol } SO_2} = 13 \text{ L } SO_2 \]

This calculates the volume of \(SO_2\) gas as 13 liters.

### Practice Problem:

**21. At STP, how many moles are in these volumes of gases?**

a. 67.2 L \(SO_2\)  
b. 0.880 L He  
c. \(1.00 \times 10^3\) L \(C_2H_6\)  

*Hint:* In Problem 21, convert from volume of gas to moles using the molar volume relationship: 22.4 liters = 1 mole.

These types of problems are fundamental in understanding gas behavior under standard conditions and are essential for precise chemical calculations.

**Published on: Chemical Quantities, Page 321**
Transcribed Image Text:**Chemical Quantities at STP** In gas chemistry, standard temperature and pressure (STP) conditions greatly simplify volume-to-mole conversions. At STP, the molar volume of a gas is 22.4 liters per mole. This relationship holds true for any ideal gas. ### Example Calculation: For sulfur dioxide (\(SO_2\)), you can determine the volume it occupies at STP if you know the amount in moles. Use the conversion factor: \[ \text{22.4 L } SO_2 \text{ per mole} \] **Given:** 0.60 mol \(SO_2\) To find the volume: \[ 0.60 \text{ mol } SO_2 \times \frac{22.4 \text{ L } SO_2}{1 \text{ mol } SO_2} = 13 \text{ L } SO_2 \] This calculates the volume of \(SO_2\) gas as 13 liters. ### Practice Problem: **21. At STP, how many moles are in these volumes of gases?** a. 67.2 L \(SO_2\) b. 0.880 L He c. \(1.00 \times 10^3\) L \(C_2H_6\) *Hint:* In Problem 21, convert from volume of gas to moles using the molar volume relationship: 22.4 liters = 1 mole. These types of problems are fundamental in understanding gas behavior under standard conditions and are essential for precise chemical calculations. **Published on: Chemical Quantities, Page 321**
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