An aqueous solution contains 0.589 g of dextran in 106 mL of solution at 21°C. It has an osmotic pressure of 1.47 mmHg. What is the average molecular weight of the dextran?

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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**Problem Statement:**

An aqueous solution contains **0.589 g** of dextran in **106 mL** of solution at **21°C**. It has an osmotic pressure of **1.47 mmHg**. What is the average molecular weight of the dextran?

**Calculation Required:**

You need to calculate the molecular weight of dextran in atomic mass units (amu).

**Input Box:**

- Molecular weight = [Input Field]
- Unit: amu

**Explanation:**

To find the molecular weight, you can use the formula for osmotic pressure:

\[
\Pi = \frac{nRT}{V}
\]

Where:
- \(\Pi\) is the osmotic pressure.
- \(n\) is the number of moles of solute.
- \(R\) is the ideal gas constant.
- \(T\) is the temperature in Kelvin.
- \(V\) is the volume of the solution in liters.

Convert the given information into the proper units, and use this relationship to solve for the molecular weight.
Transcribed Image Text:**Problem Statement:** An aqueous solution contains **0.589 g** of dextran in **106 mL** of solution at **21°C**. It has an osmotic pressure of **1.47 mmHg**. What is the average molecular weight of the dextran? **Calculation Required:** You need to calculate the molecular weight of dextran in atomic mass units (amu). **Input Box:** - Molecular weight = [Input Field] - Unit: amu **Explanation:** To find the molecular weight, you can use the formula for osmotic pressure: \[ \Pi = \frac{nRT}{V} \] Where: - \(\Pi\) is the osmotic pressure. - \(n\) is the number of moles of solute. - \(R\) is the ideal gas constant. - \(T\) is the temperature in Kelvin. - \(V\) is the volume of the solution in liters. Convert the given information into the proper units, and use this relationship to solve for the molecular weight.
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