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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![**Problem Statement:**
If \(2.45 \times 10^{-3}\) mol of argon occupies a 54.7-mL container at 24°C, what is the pressure (in torr)?
[Input Field] torr
---
This problem is designed to test your understanding of the ideal gas law and its application in calculating pressure. The quantity of moles, volume, and temperature are given, and the task is to find the pressure in the container using the ideal gas law formula:
\[ PV = nRT \]
Where:
- \( P \) is the pressure,
- \( V \) is the volume,
- \( n \) is the number of moles,
- \( R \) is the ideal gas constant (use 62.36 L·torr/mol·K for calculations with torr),
- \( T \) is the temperature in Kelvin (K).
To convert the temperature to Kelvin:
\[ T(K) = T(°C) + 273.15 \]
Finally, solve for the pressure \( P \) using the given values.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F805df41e-b889-4c16-a267-318b4eb3cf21%2F30a78b67-b5a2-4d3b-851b-19e4a48d43c9%2Ft2tdq8h_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
If \(2.45 \times 10^{-3}\) mol of argon occupies a 54.7-mL container at 24°C, what is the pressure (in torr)?
[Input Field] torr
---
This problem is designed to test your understanding of the ideal gas law and its application in calculating pressure. The quantity of moles, volume, and temperature are given, and the task is to find the pressure in the container using the ideal gas law formula:
\[ PV = nRT \]
Where:
- \( P \) is the pressure,
- \( V \) is the volume,
- \( n \) is the number of moles,
- \( R \) is the ideal gas constant (use 62.36 L·torr/mol·K for calculations with torr),
- \( T \) is the temperature in Kelvin (K).
To convert the temperature to Kelvin:
\[ T(K) = T(°C) + 273.15 \]
Finally, solve for the pressure \( P \) using the given values.
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