### Determining Mass Percent of Vitamin C and Sucralose from Osmotic Pressure#### Problem Description:A 1.171 gram sample contains only two components: Vitamin C (ascorbic acid, chemical formula \( \text{C}_6\text{H}_8\text{O}_6 \)) and sucralose (chemical formula \( \text{C}_{12}\text{H}_{19}\text{Cl}_3\text{O}_8 \)). When this sample is dissolved in water, making a solution with a total volume of 29.1 mL, the osmotic pressure (\( \pi \)) of the solution is observed to be 4.57 atm at a temperature of 295 K. The goal is to determine the mass percent of Vitamin C and sucralose in the sample.#### Required Information: 1. **Osmotic Pressure (\( \pi \))**: The osmotic pressure is given by: \[ \pi = iCRT \] where \( i \) is the van't Hoff factor (assumed to be 1 for non-electrolytes), \( C \) is the molar concentration of the solution, \( R \) is the gas constant (0.0821 L·atm/mol·K), and \( T \) is the temperature in Kelvin.2. **Molecular Weights**: - Vitamin C (C₆H₈O₆): \[ 6(12) + 8(1) + 6(16) = 176 \text{ g/mol} \] - Sucralose (C₁₂H₁₉Cl₃O₈): \[ 12(12) + 19(1) + 3(35.5) + 8(16) = 397.5 \text{ g/mol} \]#### Calculation Steps:1. **Calculate Molarity (C)**: \[ \pi = CRT \implies C = \frac{\pi}{RT} = \frac{4.57 \text{ atm}}{0.0821 \text{ L·atm/mol·K} \times 295 \text{ K}} \]2. **Determine Moles of Solute**: The total moles of solute can be calculated using

The osmotic pressure gives a relation between concentration, temperature and osmotic pressure. It…

A 1.171 g sample contains only vitamin C (CH₂O) and sucralose (C₁2H₁9Cl₂ Og). When the sample is dissolved in water to a total volume of 29.1 mL, the osmotic pressure of the solution is 4.57 atm at 295 K. What is the mass percent of vitamin C and sucralose in the sample? vitamin C: % sucralose: %

A 1.171 g sample contains only vitamin C (CH₂O) and sucralose (C₁2H₁9Cl₂ Og). When the sample is dissolved in water to a total volume of 29.1 mL, the osmotic pressure of the solution is 4.57 atm at 295 K. What is the mass percent of vitamin C and sucralose in the sample? vitamin C: % sucralose: %

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...

See similar textbooks

Similar questions

A solid mixture contains MgCl2 and NaCl. When 0.500 g of this mixture is dissolved in enough water to form 1.00 L of solution, the osmotic pressure at 25 °C is found to be 0.390 atm. What is the mass percent of MgCl2 in the mixture? -how do I go about working this out?
An aqueous solution containing 1.19 g of a sugar in 100 mL of a solution has an osmotic pressure of 1.62 bar at 25.0 °C. What is the molar mass of this sugar? g/mol
What is the molality of a solution composed of 3.25 g methanol (CH3OH) and 250 mL of water?
A solution of 4.85 g of a carbohydrate in 100.0 g of water has a density of 1.017 g/mL and an osmotic pressure of 3.31 atm at 20.0°C. Calculate the molar mass of the carbohydrate.
A solution of hexane, C6H14, in benzene, C6H6, has a molality of 0.250 m. What mass of hexane is dissolved in 400 g of benzene in this solution? mass C6H14 = [?] g mass Hexane (g) Enter
A solution of 6.85 g of carbohydrate in 100.0 g of water has a density of 1.024g/mL and an osmotic pressure of 4.61 atm at 20.00C. Calculate the molar mass of the carbohydrate.
A nonvolatile solute is dissolved in benzene and the resulting solution has a vapor pressure of 20.7 torr. What is the mole fraction of the solute? (P° of benzene is 26.5 torr).
In a study designed to prepare new gasoline-resistant coatings, a polymer chemist dissolves a 6.053 g of poly(vinyl alcohol) in enough water to make 200 ml of a solution. At 25oC, the osmotic pressure of this solution is 0.272 atm. What is the molar mass of the polymer sample?
When 2.57 g of a nonelectrolyte solute is dissolved in water to make 115 mL of solution at 24 °C, the solution exerts an osmotic pressure of 931 torr. What is the molar concentration of the solution? concentration: How many moles of solute are in the solution? moles of solute: What is the molar mass of the solute? molar mass: M mol g/mol
A solution containing 26.65 mg of an unknown protein per 22.0 mL of solution was found to have an osmotic pressure of 3.86 torr at 19 C. Part A What is the molar mass of the protein?
2. A 0.72 g sample of polyvinyl chloride (PVC) is dissolved in 250.0 mL of a suitable solvent at 25°C. The solution has an osmotic pressure of 1.67 mmHg. What is the molar mass of the PVC?
At 25.0°C, 100.0 mL of aqueous sol containing 45.2 mg of a molecular solute has an osmotic pressure of 18.4 Torr. The molar mass of the solute is ___ g/mol