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...
Related questions
Question
![A balloon filled with helium has a volume of 38.4 L at 279 K. What volume will the balloon occupy at 247 K?
\[ V = \text{______} \, \text{L} \]
---
**Explanation of the Context:**
This problem involves using Charles's Law, which states that the volume of a gas is directly proportional to its temperature (in Kelvin), assuming the pressure and the amount of gas remain constant. The law is mathematically expressed as:
\[ \frac{V_1}{T_1} = \frac{V_2}{T_2} \]
- \( V_1 \) is the initial volume.
- \( T_1 \) is the initial temperature.
- \( V_2 \) is the final volume.
- \( T_2 \) is the final temperature.
In this scenario:
- \( V_1 = 38.4 \, \text{L} \)
- \( T_1 = 279 \, \text{K} \)
- \( T_2 = 247 \, \text{K} \)
You are asked to find \( V_2 \), the new volume of the balloon at 247 K.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F861073eb-90f0-4339-aab4-71455772cad6%2Fbdca57ab-400b-49b1-9675-a99c55d5aa49%2Fian8rt5_processed.png&w=3840&q=75)
Transcribed Image Text:A balloon filled with helium has a volume of 38.4 L at 279 K. What volume will the balloon occupy at 247 K?
\[ V = \text{______} \, \text{L} \]
---
**Explanation of the Context:**
This problem involves using Charles's Law, which states that the volume of a gas is directly proportional to its temperature (in Kelvin), assuming the pressure and the amount of gas remain constant. The law is mathematically expressed as:
\[ \frac{V_1}{T_1} = \frac{V_2}{T_2} \]
- \( V_1 \) is the initial volume.
- \( T_1 \) is the initial temperature.
- \( V_2 \) is the final volume.
- \( T_2 \) is the final temperature.
In this scenario:
- \( V_1 = 38.4 \, \text{L} \)
- \( T_1 = 279 \, \text{K} \)
- \( T_2 = 247 \, \text{K} \)
You are asked to find \( V_2 \), the new volume of the balloon at 247 K.
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