From the graph of Density vs. Concentration (attached), created in Graph 1, what was the relationship between the concentration of the sugar solution and the density of the sugar solution?
From the graph of Density vs. Concentration (attached), created in Graph 1, what was the relationship between the concentration of the sugar solution and the density of the sugar solution?
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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From the graph of Density vs. Concentration (attached), created in Graph 1, what was the relationship between the concentration of the sugar solution and the density of the sugar solution?
![### Relationship between Concentration and Density
#### Data Table
| X-value | Y-values |
|---------|----------|
| 3.2 | 1.007 |
| 5.76 | 1.013 |
| 3.84 | 1.0 |
| 7.68 | 1.019 |
#### Analysis
The data presented in the table displays the relationship between the concentration (%m/v) and the corresponding density (g/ml). The `X-value` column represents the concentration of a solution, while the `Y-values` column represents the density of the solution measured at those concentrations.
#### Graph Explanation
The graph titled "Relationship between Concentration and Density" is a scatter plot with a linear regression line summarizing the data from the table.
- **X-axis:** The concentration (%m/v) ranging from 0 to 10.
- **Y-axis:** The density (g/ml) ranging from 0.995 to 1.02.
Key features of the graph:
- Each blue dot represents a data point from the table.
- The blue dashed line indicates the linear trend of the relationship between concentration and density.
The equation of the linear regression line is:
\[ y = 0.0035x + 0.9916 \]
Where:
- *y* represents the density (g/ml).
- *x* represents the concentration (%m/v).
The R-squared value (R²) is 0.7755, indicating that approximately 77.55% of the variance in density is explained by the concentration levels.
This visual and mathematical relationship depicts that as the concentration of the solution increases, its density tends to increase linearly.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7340e8c4-fcb1-427f-88ab-8b8ebb7555ef%2F03638a5f-fd46-40da-a7c4-ed808b23c046%2Felu8xuz.png&w=3840&q=75)
Transcribed Image Text:### Relationship between Concentration and Density
#### Data Table
| X-value | Y-values |
|---------|----------|
| 3.2 | 1.007 |
| 5.76 | 1.013 |
| 3.84 | 1.0 |
| 7.68 | 1.019 |
#### Analysis
The data presented in the table displays the relationship between the concentration (%m/v) and the corresponding density (g/ml). The `X-value` column represents the concentration of a solution, while the `Y-values` column represents the density of the solution measured at those concentrations.
#### Graph Explanation
The graph titled "Relationship between Concentration and Density" is a scatter plot with a linear regression line summarizing the data from the table.
- **X-axis:** The concentration (%m/v) ranging from 0 to 10.
- **Y-axis:** The density (g/ml) ranging from 0.995 to 1.02.
Key features of the graph:
- Each blue dot represents a data point from the table.
- The blue dashed line indicates the linear trend of the relationship between concentration and density.
The equation of the linear regression line is:
\[ y = 0.0035x + 0.9916 \]
Where:
- *y* represents the density (g/ml).
- *x* represents the concentration (%m/v).
The R-squared value (R²) is 0.7755, indicating that approximately 77.55% of the variance in density is explained by the concentration levels.
This visual and mathematical relationship depicts that as the concentration of the solution increases, its density tends to increase linearly.
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