Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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**Osmotic Pressure and Molar Concentration Calculation**

When 3.49 g of a nonelectrolyte solute is dissolved in water to make 755 mL of solution at 27 °C, the solution exerts an osmotic pressure of 879 torr.

**Questions:**

1. **What is the molar concentration of the solution?**

   - **Concentration:** ___________ M

2. **How many moles of solute are in the solution?**

   - **Moles of solute:** ___________ mol

3. **What is the molar mass of the solute?**

   - **Molar mass:** ___________ g/mol

**Instructions:**

- Use the ideal gas law equation for osmotic pressure: \(\Pi = iMRT\), where:
  - \(\Pi\) = osmotic pressure (in atms, convert torr to atm)
  - \(i\) = van't Hoff factor (for nonelectrolytes, \(i = 1\))
  - \(M\) = molarity (moles/L)
  - \(R\) = ideal gas constant (\(0.0821 \, \text{L atm/mol K}\))
  - \(T\) = temperature in Kelvin

- Convert the temperature from Celsius to Kelvin.

- Calculate the molar concentration from the given osmotic pressure.

- Calculate the number of moles of solute using the molarity and volume.

- Determine the molar mass using the mass of the solute and the number of moles calculated.
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Transcribed Image Text:**Osmotic Pressure and Molar Concentration Calculation** When 3.49 g of a nonelectrolyte solute is dissolved in water to make 755 mL of solution at 27 °C, the solution exerts an osmotic pressure of 879 torr. **Questions:** 1. **What is the molar concentration of the solution?** - **Concentration:** ___________ M 2. **How many moles of solute are in the solution?** - **Moles of solute:** ___________ mol 3. **What is the molar mass of the solute?** - **Molar mass:** ___________ g/mol **Instructions:** - Use the ideal gas law equation for osmotic pressure: \(\Pi = iMRT\), where: - \(\Pi\) = osmotic pressure (in atms, convert torr to atm) - \(i\) = van't Hoff factor (for nonelectrolytes, \(i = 1\)) - \(M\) = molarity (moles/L) - \(R\) = ideal gas constant (\(0.0821 \, \text{L atm/mol K}\)) - \(T\) = temperature in Kelvin - Convert the temperature from Celsius to Kelvin. - Calculate the molar concentration from the given osmotic pressure. - Calculate the number of moles of solute using the molarity and volume. - Determine the molar mass using the mass of the solute and the number of moles calculated.
Expert Solution
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Step 1

Given :- 

Mass of non-electrolyte solute = 3.48 g 

Volume of solution = 755 mL 

Temperature = 27°C 

Osmotic pressure = 879 torr 

To be calculated :- 

  • Molar concentration of solution 
  • Number of moles of solute 
  • Molar mass of solute
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