Calculate the number average molecular weight corresponding to the molecular weight distribution for the synthetic polymer sample fractionated in the graph below if the polydispersity index is 1.25

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
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Calculate the number average molecular weight corresponding to the molecular weight distribution for the synthetic polymer sample fractionated in the graph below if the polydispersity index is 1.25
The image features a scatter plot graph depicting the relationship between molar mass (in grams per mole, g/mol) and the number of polymer chains.

**Axes Description:**
- **X-Axis:** Represents the molar mass, ranging from 0 to 150 g/mol with clear intervals at 25, 50, 75, 100, and 125 g/mol.
- **Y-Axis:** Represents the number of polymer chains, ranging from 0 to 100 with intervals of 10 (e.g., 0, 10, 20, up to 100).

**Data Points:**
The scatter plot contains several data points distributed across the graph:
- At approximately 30 g/mol with about 10 polymer chains.
- Around 50 g/mol with about 20 polymer chains.
- Near 75 g/mol with approximately 40 polymer chains.
- At 90 g/mol with roughly 50 polymer chains.
- At about 105 g/mol with approximately 80 polymer chains.

**Interpretation:**
This scatter plot suggests a potential correlation between the molar mass of a substance and the number of polymer chains. As the molar mass increases, the number of polymer chains tends to increase as well. This could indicate how different molar masses result in varying sizes or amounts of polymer chains, possibly related to their physical or chemical properties.
Transcribed Image Text:The image features a scatter plot graph depicting the relationship between molar mass (in grams per mole, g/mol) and the number of polymer chains. **Axes Description:** - **X-Axis:** Represents the molar mass, ranging from 0 to 150 g/mol with clear intervals at 25, 50, 75, 100, and 125 g/mol. - **Y-Axis:** Represents the number of polymer chains, ranging from 0 to 100 with intervals of 10 (e.g., 0, 10, 20, up to 100). **Data Points:** The scatter plot contains several data points distributed across the graph: - At approximately 30 g/mol with about 10 polymer chains. - Around 50 g/mol with about 20 polymer chains. - Near 75 g/mol with approximately 40 polymer chains. - At 90 g/mol with roughly 50 polymer chains. - At about 105 g/mol with approximately 80 polymer chains. **Interpretation:** This scatter plot suggests a potential correlation between the molar mass of a substance and the number of polymer chains. As the molar mass increases, the number of polymer chains tends to increase as well. This could indicate how different molar masses result in varying sizes or amounts of polymer chains, possibly related to their physical or chemical properties.
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