Please type out and or diagram Your solution in a way that is easy to read I have bad eyesight ### Temperature and Height RelationshipThis table presents the relationship between temperature in degrees Celsius (°C) and height in centimeters (cm).| 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 |#### Graph Explanation (if applicable):If a graph were to be created based on this data, it would feature temperature on the x-axis ranging from 25°C to 95°C and height on the y-axis ranging from 9.5 cm to 11.8 cm. The data points would likely show a generally decreasing trend in height as the temperature decreases. This suggests an inverse relationship between temperature and height in this specific dataset. A line graph could be used to visualize these data points for better understanding and analysis. ### Instructions for Graphing and Analysis in a Chemistry Experiment**3. Graphing Guidelines:**- **Graph Height of Air Column vs. Temperature:** - **Y-Axis:** Height of the air column in centimeters. - **X-Axis:** Temperature in Celsius (°C). - Ensure the point of intersection for the X and Y axes is set to zero (0,0). - Utilize a curve fitting program to plot the best fit line or curve for the dataset. - Clearly display the equation representing the function of the curve on the graph.**4. Analysis with Charles's Law:**- **Correlation with Charles's Law:** - Assess whether the data and plotted curve conform to Charles's Law. - **Explain your conclusion:** - Provide a detailed explanation regarding how gas molecules behave when the temperature increases or decreases. - Reference the Kinetic Theory of Gases, which describes the relationship between temperature and the movement of gas molecules.**5. Determining Absolute Zero:**- **Methods for Calculation:** - **Method 1: Extrapolation** - **Method 2: Algebraic Solution** - Utilize the formula \(Y = mX + b\) - **Where:** - \(m\) represents the slope of the line. - \(b\) represents the Y-intercept. - Calculate and compare which method yields a value closest to the traditionally accepted value of absolute zero (-273.15°C or 0 Kelvin).### Educational Objective:- By following these instructions, students will gain practical experience in graphing scientific data, analyzing their results in the context of established gas laws, and applying mathematical methods to estimate fundamental physical constants.

Given data: Temperature, height values.

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). 5. Use the two methods for determining absolute zero shown Method 1: extrapolation Method 2: algebraic solution using Y = mx + b Where m = slope and b = the Y intercept Which method is closest to the accepted value of absolute zero (-273.15 C or 0 Kelvin).

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). 5. Use the two methods for determining absolute zero shown Method 1: extrapolation Method 2: algebraic solution using Y = mx + b Where m = slope and b = the Y intercept Which method is closest to the accepted value of absolute zero (-273.15 C or 0 Kelvin).

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Please type out and or diagram Your solution in a way that is easy to read I have bad eyesight

### Temperature and Height Relationship

This table presents the relationship between temperature in degrees Celsius (°C) and height in centimeters (cm).

| 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 |

#### Graph Explanation (if applicable):

If a graph were to be created based on this data, it would feature temperature on the x-axis ranging from 25°C to 95°C and height on the y-axis ranging from 9.5 cm to 11.8 cm. The data points would likely show a generally decreasing trend in height as the temperature decreases. This suggests an inverse relationship between temperature and height in this specific dataset. A line graph could be used to visualize these data points for better understanding and analysis.

### Instructions for Graphing and Analysis in a Chemistry Experiment

**3. Graphing Guidelines:**
- **Graph Height of Air Column vs. Temperature:**
- **Y-Axis:** Height of the air column in centimeters.
- **X-Axis:** Temperature in Celsius (°C).
- Ensure the point of intersection for the X and Y axes is set to zero (0,0).
- Utilize a curve fitting program to plot the best fit line or curve for the dataset.
- Clearly display the equation representing the function of the curve on the graph.

**4. Analysis with Charles's Law:**
- **Correlation with Charles's Law:**
- Assess whether the data and plotted curve conform to Charles's Law.
- **Explain your conclusion:**
- Provide a detailed explanation regarding how gas molecules behave when the temperature increases or decreases.
- Reference the Kinetic Theory of Gases, which describes the relationship between temperature and the movement of gas molecules.

**5. Determining Absolute Zero:**
- **Methods for Calculation:**
- **Method 1: Extrapolation**
- **Method 2: Algebraic Solution**
- Utilize the formula \(Y = mX + b\)
- **Where:**
- \(m\) represents the slope of the line.
- \(b\) represents the Y-intercept.
- Calculate and compare which method yields a value closest to the traditionally accepted value of absolute zero (-273.15°C or 0 Kelvin).

### Educational Objective:
- By following these instructions, students will gain practical experience in graphing scientific data, analyzing their results in the context of established gas laws, and applying mathematical methods to estimate fundamental physical constants.

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