Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Question 9
![**Calculating the Density of Nitrogen Gas**
*Assuming it behaves as an ideal gas, calculate the density of nitrogen, N₂, at STP (Standard Temperature and Pressure).*
**Density Calculation:**
\[ \text{density:} \ \underline{\hspace{3cm}} \ \text{g/L} \]
---
To calculate the density of nitrogen gas (N₂) under standard temperature and pressure conditions (0°C and 1 atm), you can use the ideal gas law:
\[ PV = nRT \]
Where:
- \( P \) is the pressure (1 atm),
- \( V \) is the volume in liters,
- \( n \) is the number of moles,
- \( R \) is the ideal gas constant (0.0821 L·atm/mol·K),
- \( T \) is the temperature in Kelvin (273.15 K).
For one mole of an ideal gas at STP:
\[ V = \frac{RT}{P} = \frac{(0.0821 \ \text{L·atm/mol·K}) \times (273.15 \ \text{K})}{1 \ \text{atm}} \approx 22.414 \ \text{L/mol} \]
The molar mass of nitrogen gas (N₂) is approximately 28.02 g/mol.
**Density Calculation Steps:**
1. **Moles of Nitrogen (N₂):**
At STP, 1 mole of nitrogen gas occupies 22.414 L.
2. **Calculate Density:**
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} = \frac{28.02 \ \text{g/mol}}{22.414 \ \text{L/mol}} \approx 1.25 \ \text{g/L} \]
So, the density of nitrogen gas at STP is approximately 1.25 g/L.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4db1e84-75df-498d-9686-5cabfd0e0c2f%2F2396da69-0c24-4d43-95ed-b1ba584a95d6%2Fwc8e6to_processed.png&w=3840&q=75)
Transcribed Image Text:**Calculating the Density of Nitrogen Gas**
*Assuming it behaves as an ideal gas, calculate the density of nitrogen, N₂, at STP (Standard Temperature and Pressure).*
**Density Calculation:**
\[ \text{density:} \ \underline{\hspace{3cm}} \ \text{g/L} \]
---
To calculate the density of nitrogen gas (N₂) under standard temperature and pressure conditions (0°C and 1 atm), you can use the ideal gas law:
\[ PV = nRT \]
Where:
- \( P \) is the pressure (1 atm),
- \( V \) is the volume in liters,
- \( n \) is the number of moles,
- \( R \) is the ideal gas constant (0.0821 L·atm/mol·K),
- \( T \) is the temperature in Kelvin (273.15 K).
For one mole of an ideal gas at STP:
\[ V = \frac{RT}{P} = \frac{(0.0821 \ \text{L·atm/mol·K}) \times (273.15 \ \text{K})}{1 \ \text{atm}} \approx 22.414 \ \text{L/mol} \]
The molar mass of nitrogen gas (N₂) is approximately 28.02 g/mol.
**Density Calculation Steps:**
1. **Moles of Nitrogen (N₂):**
At STP, 1 mole of nitrogen gas occupies 22.414 L.
2. **Calculate Density:**
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} = \frac{28.02 \ \text{g/mol}}{22.414 \ \text{L/mol}} \approx 1.25 \ \text{g/L} \]
So, the density of nitrogen gas at STP is approximately 1.25 g/L.
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