gas at 297 K, 1.018 atm and 0.800 L was heated to a final temperature of 336 K at constant pressure. How will you determine the final volume? New Volume =
gas at 297 K, 1.018 atm and 0.800 L was heated to a final temperature of 336 K at constant pressure. How will you determine the final volume? New Volume =
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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![**Determining the Final Volume of Gas After Heating**
A gas at 297 K, 1.018 atm, and 0.800 L was heated to a final temperature of 336 K at constant pressure. How will you determine the final volume?
**New Volume =**
[Input Field] / [Input Field] × [Input Field]
To determine the final volume of the gas, you can use the Charles's Law formula, which relates the temperature and volume of a gas at constant pressure. Charles's Law states that the volume of a gas is directly proportional to its temperature in Kelvin, as long as the pressure remains constant. The formula is given by:
\[ \frac{V_1}{T_1} = \frac{V_2}{T_2} \]
Where:
- \( V_1 \) is the initial volume
- \( T_1 \) is the initial temperature
- \( V_2 \) is the final volume
- \( T_2 \) is the final temperature
Rearranging the formula to solve for the final volume \( V_2 \):
\[ V_2 = V_1 \times \frac{T_2}{T_1} \]
Let's apply the given values:
- \( V_1 = 0.800 \) L
- \( T_1 = 297 \) K
- \( T_2 = 336 \) K
Substitute these into the formula:
\[ V_2 = 0.800 \, \text{L} \times \frac{336 \, \text{K}}{297 \, \text{K}} \]
Now, you can determine the final volume by evaluating the right-hand side of the equation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F19b0aed3-745e-4879-8577-ea35399669d0%2Faf10df43-96f9-4760-9013-7cfcb3d7ba52%2Ffkhcno4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Determining the Final Volume of Gas After Heating**
A gas at 297 K, 1.018 atm, and 0.800 L was heated to a final temperature of 336 K at constant pressure. How will you determine the final volume?
**New Volume =**
[Input Field] / [Input Field] × [Input Field]
To determine the final volume of the gas, you can use the Charles's Law formula, which relates the temperature and volume of a gas at constant pressure. Charles's Law states that the volume of a gas is directly proportional to its temperature in Kelvin, as long as the pressure remains constant. The formula is given by:
\[ \frac{V_1}{T_1} = \frac{V_2}{T_2} \]
Where:
- \( V_1 \) is the initial volume
- \( T_1 \) is the initial temperature
- \( V_2 \) is the final volume
- \( T_2 \) is the final temperature
Rearranging the formula to solve for the final volume \( V_2 \):
\[ V_2 = V_1 \times \frac{T_2}{T_1} \]
Let's apply the given values:
- \( V_1 = 0.800 \) L
- \( T_1 = 297 \) K
- \( T_2 = 336 \) K
Substitute these into the formula:
\[ V_2 = 0.800 \, \text{L} \times \frac{336 \, \text{K}}{297 \, \text{K}} \]
Now, you can determine the final volume by evaluating the right-hand side of the equation.
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