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3. Graph height of air column (centimeters) on the Y axis, and temperature (C) on the X axis. Make sure to make the intersection of X and Y axes zero/zero. Use a curve fitting program to determine the best fit for this data. Show the equation for the function of the curve. 4. Does the data and curve on your graph mesh with Charles's Law Explain your conclusion and explain what happens to gas molecules as temperature is raised or lowered (Kinetic theory).

3. Graph height of air column (centimeters) on the Y axis, and temperature (C) on the X axis. Make sure to make the intersection of X and Y axes zero/zero. Use a curve fitting program to determine the best fit for this data. Show the equation for the function of the curve. 4. Does the data and curve on your graph mesh with Charles's Law Explain your conclusion and explain what happens to gas molecules as temperature is raised or lowered (Kinetic theory).

Chemistry
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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Please type out and or diagram Your solution in a way that is easy to read I have bad eyesight and cant read cursive must be typed 

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### Graphing and Analysis of Gas Laws #### 3. Graphing Exercise - **Objective:** Graph the relationship between the height of an air column (in centimeters) on the Y-axis and temperature (in Celsius) on the X-axis. - **Instructions:** 1. Ensure that the intersection of the X and Y axes is at zero (0,0). 2. Use a curve fitting program to determine the best-fit line for the data. 3. Display the equation of the curve that represents this best fit. #### 4. Charles’s Law Verification - **Task:** Compare your data and the curve from your graph to Charles's Law. - **Analysis:** - Explain whether your graph supports Charles’s Law. - Describe what happens to gas molecules as the temperature increases or decreases using kinetic theory principles. #### 5. Determining Absolute Zero - **Objective:** Use two methods to determine the value of absolute zero. - **Methods:** 1. **Extrapolation** 2. **Algebraic Solution** - Using the equation: \( Y = mX + b \) - Where \( m \) is the slope and \( b \) is the Y-intercept. - **Comparison:** - Determine which method provides a value closest to the accepted value of absolute zero (-273.15°C or 0 Kelvin). #### Detailed Guidance - **Graphing Tips:** - Ensure precision in plotting your data points. - Use a reliable curve fitting software to obtain the best fit equation. - **Charles's Law:** - States that the volume of a gas is directly proportional to its temperature (in Kelvin), at constant pressure. - **Understanding Extrapolation:** - Extend the line on the graph beyond the plotted data points to predict where it would intercept the X-axis (temperature axis). - **Algebraic Solution:** - Calculate the slope \( m \) and the Y-intercept \( b \). - Use these values to find the equation of the line and solve for the temperature at which the volume would theoretically be zero. By following these steps, you will gain a deeper understanding of the principles underpinning gas laws and the significance of absolute zero in scientific research.
Transcribed Image Text:### Graphing and Analysis of Gas Laws #### 3. Graphing Exercise - **Objective:** Graph the relationship between the height of an air column (in centimeters) on the Y-axis and temperature (in Celsius) on the X-axis. - **Instructions:** 1. Ensure that the intersection of the X and Y axes is at zero (0,0). 2. Use a curve fitting program to determine the best-fit line for the data. 3. Display the equation of the curve that represents this best fit. #### 4. Charles’s Law Verification - **Task:** Compare your data and the curve from your graph to Charles's Law. - **Analysis:** - Explain whether your graph supports Charles’s Law. - Describe what happens to gas molecules as the temperature increases or decreases using kinetic theory principles. #### 5. Determining Absolute Zero - **Objective:** Use two methods to determine the value of absolute zero. - **Methods:** 1. **Extrapolation** 2. **Algebraic Solution** - Using the equation: \( Y = mX + b \) - Where \( m \) is the slope and \( b \) is the Y-intercept. - **Comparison:** - Determine which method provides a value closest to the accepted value of absolute zero (-273.15°C or 0 Kelvin). #### Detailed Guidance - **Graphing Tips:** - Ensure precision in plotting your data points. - Use a reliable curve fitting software to obtain the best fit equation. - **Charles's Law:** - States that the volume of a gas is directly proportional to its temperature (in Kelvin), at constant pressure. - **Understanding Extrapolation:** - Extend the line on the graph beyond the plotted data points to predict where it would intercept the X-axis (temperature axis). - **Algebraic Solution:** - Calculate the slope \( m \) and the Y-intercept \( b \). - Use these values to find the equation of the line and solve for the temperature at which the volume would theoretically be zero. By following these steps, you will gain a deeper understanding of the principles underpinning gas laws and the significance of absolute zero in scientific research.
### Temperature vs Height Data This table presents data showing the relationship between temperature (in degrees Celsius, °C) and the corresponding height (in centimeters, cm). The table details measurements taken at various temperature values: | Temp (°C) | Height (cm) | |-----------|-------------| | 95 | 11.8 | | 90 | 11.6 | | 85 | 11.5 | | 80 | 11.3 | | 75 | 11.2 | | 70 | 10.9 | | 65 | 10.8 | | 60 | 10.7 | | 55 | 10.5 | | 50 | 10.3 | | 45 | 10.1 | | 40 | 10.0 | | 35 | 9.8 | | 30 | 9.6 | | 25 | 9.5 | #### Analysis: - **General Trend**: As the temperature decreases from 95°C to 25°C, the height generally decreases. - **Rate of Change**: The decrease in height is relatively gradual, indicating a steady relationship between temperature and height. This data can be used to understand how varying temperatures affect a particular parameter (in this case, height) and can be beneficial in fields such as physical sciences and engineering to study material properties or natural phenomena.
Transcribed Image Text:### Temperature vs Height Data This table presents data showing the relationship between temperature (in degrees Celsius, °C) and the corresponding height (in centimeters, cm). The table details measurements taken at various temperature values: | Temp (°C) | Height (cm) | |-----------|-------------| | 95 | 11.8 | | 90 | 11.6 | | 85 | 11.5 | | 80 | 11.3 | | 75 | 11.2 | | 70 | 10.9 | | 65 | 10.8 | | 60 | 10.7 | | 55 | 10.5 | | 50 | 10.3 | | 45 | 10.1 | | 40 | 10.0 | | 35 | 9.8 | | 30 | 9.6 | | 25 | 9.5 | #### Analysis: - **General Trend**: As the temperature decreases from 95°C to 25°C, the height generally decreases. - **Rate of Change**: The decrease in height is relatively gradual, indicating a steady relationship between temperature and height. This data can be used to understand how varying temperatures affect a particular parameter (in this case, height) and can be beneficial in fields such as physical sciences and engineering to study material properties or natural phenomena.
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