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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![### Gas Law Example Problem
**Problem Statement:**
What volume is occupied by 0.146 mol of CO₂ at 272.3 K and 915 mmHg?
**Calculation:**
\[ V = \] \_\_\_\_\_\_\_\_ L
---
**Explanation:**
This problem can be solved using the Ideal Gas Law, which is represented by the equation:
\[ PV = nRT \]
where:
- \( P \) is the pressure (in atm)
- \( V \) is the volume (in liters)
- \( n \) is the number of moles of the gas
- \( R \) is the ideal gas constant (0.0821 L·atm/(K·mol))
- \( T \) is the temperature (in Kelvin)
Given data:
- \( n = 0.146 \, \text{mol} \)
- \( T = 272.3 \, \text{K} \)
- \( P = 915 \, \text{mmHg} = 915 \times \frac{1 \, \text{atm}}{760 \, \text{mmHg}} \approx 1.204 \, \text{atm} \)
Insert the known values into the ideal gas law equation to solve for \( V \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcedd0880-65ed-4b01-a33f-975175ec858a%2Face26986-c2fc-4d35-998d-cb898feb4569%2Fh42o5o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Gas Law Example Problem
**Problem Statement:**
What volume is occupied by 0.146 mol of CO₂ at 272.3 K and 915 mmHg?
**Calculation:**
\[ V = \] \_\_\_\_\_\_\_\_ L
---
**Explanation:**
This problem can be solved using the Ideal Gas Law, which is represented by the equation:
\[ PV = nRT \]
where:
- \( P \) is the pressure (in atm)
- \( V \) is the volume (in liters)
- \( n \) is the number of moles of the gas
- \( R \) is the ideal gas constant (0.0821 L·atm/(K·mol))
- \( T \) is the temperature (in Kelvin)
Given data:
- \( n = 0.146 \, \text{mol} \)
- \( T = 272.3 \, \text{K} \)
- \( P = 915 \, \text{mmHg} = 915 \times \frac{1 \, \text{atm}}{760 \, \text{mmHg}} \approx 1.204 \, \text{atm} \)
Insert the known values into the ideal gas law equation to solve for \( V \).
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