An arctic weather balloon is filled with 11.9 L of helium gas inside a prep shed. The temperature inside the shed is 5. °C. The balloon is then taken outside, where the temperature is 0. °C. Calculate the new volume of the balloon. You may assume the pressure on the balloon stays constant at exactly 1 atm. Round your answer to 3 significant digits.
An arctic weather balloon is filled with 11.9 L of helium gas inside a prep shed. The temperature inside the shed is 5. °C. The balloon is then taken outside, where the temperature is 0. °C. Calculate the new volume of the balloon. You may assume the pressure on the balloon stays constant at exactly 1 atm. Round your answer to 3 significant digits.
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 Description:**
An arctic weather balloon is filled with 11.9 L of helium gas inside a prep shed. The temperature inside the shed is 5°C. The balloon is then taken outside, where the temperature is 0°C. Calculate the new volume of the balloon.
You may assume the pressure on the balloon stays constant at exactly 1 atm. Round your answer to 3 significant digits.
**Note:**
- The box is labeled with "L" for liters, indicating the unit of volume for your answer.
- There is an option to submit your answer and tools for input adjustment and help.
**Solution Steps:**
To solve this problem, you can use the Combined Gas Law, which relates temperature and volume at constant pressure:
\[ V_1/T_1 = V_2/T_2 \]
Where:
- \( V_1 \) is the initial volume (11.9 L)
- \( T_1 \) is the initial temperature in Kelvin (5°C = 278 K)
- \( V_2 \) is the final volume (what we need to find)
- \( T_2 \) is the final temperature in Kelvin (0°C = 273 K)
Convert the given temperatures to Kelvin and solve for \( V_2 \):
\[ V_2 = V_1 \times (T_2 / T_1) \]
Substituting the known values:
\[ V_2 = 11.9 \, \text{L} \times (273 \, \text{K} / 278 \, \text{K}) \]
Calculate the result and round it to 3 significant digits.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ac4fab7-4126-49f3-8d16-60074d8271b3%2F6d3ca8f4-bb58-4142-b3c9-d7a85443b291%2F2mtd2bu_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
An arctic weather balloon is filled with 11.9 L of helium gas inside a prep shed. The temperature inside the shed is 5°C. The balloon is then taken outside, where the temperature is 0°C. Calculate the new volume of the balloon.
You may assume the pressure on the balloon stays constant at exactly 1 atm. Round your answer to 3 significant digits.
**Note:**
- The box is labeled with "L" for liters, indicating the unit of volume for your answer.
- There is an option to submit your answer and tools for input adjustment and help.
**Solution Steps:**
To solve this problem, you can use the Combined Gas Law, which relates temperature and volume at constant pressure:
\[ V_1/T_1 = V_2/T_2 \]
Where:
- \( V_1 \) is the initial volume (11.9 L)
- \( T_1 \) is the initial temperature in Kelvin (5°C = 278 K)
- \( V_2 \) is the final volume (what we need to find)
- \( T_2 \) is the final temperature in Kelvin (0°C = 273 K)
Convert the given temperatures to Kelvin and solve for \( V_2 \):
\[ V_2 = V_1 \times (T_2 / T_1) \]
Substituting the known values:
\[ V_2 = 11.9 \, \text{L} \times (273 \, \text{K} / 278 \, \text{K}) \]
Calculate the result and round it to 3 significant digits.
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