### Calculating Vapor Pressure of a Solution**Problem Statement:**The vapor pressure of **ethanol** is 54.68 mm Hg at 25 °C. A nonvolatile, nonelectrolyte that dissolves in ethanol is **saccharin**. Calculate the vapor pressure of the solution at 25 °C when 13.39 grams of saccharin, \( C_7H_5NO_3S \) (183.2 g/mol), are dissolved in 204.9 grams of ethanol.**Given:**- Ethanol = \( C_2H_5OH \) = 46.07 g/mol- Vapor Pressure of ethanol = 54.68 mm Hg- Mass of saccharin = 13.39 g- Mass of ethanol = 204.9 g**Solution:**To find the vapor pressure of the solution, use Raoult's Law:\[\text{VP(solution)} = \text{VP(pure solvent)} \times \text{mole fraction of solvent}\]### Steps:1. **Calculate Moles:** - Moles of saccharin: \[ \left(\frac{13.39 \text{ g}}{183.2 \text{ g/mol}}\right) = 0.0731 \text{ moles} \] - Moles of ethanol: \[ \left(\frac{204.9 \text{ g}}{46.07 \text{ g/mol}}\right) = 4.448 \text{ moles} \]2. **Calculate Mole Fraction of Ethanol:** - Total moles = 0.0731 + 4.448 = 4.521 moles - Mole fraction of ethanol: \[ \left(\frac{4.448}{4.521}\right) = 0.9839 \]3. **Calculate Vapor Pressure of the Solution:** - Using Raoult's Law: \[ \text{VP(solution)} = 54.68 \times 0.9839 = 53.80 \text{ mm Hg} \]**Conclusion:**The vapor pressure of the solution containing saccharin and ethanol at 25 °C is 53.80 mm Hg.**Interactive Components: **Problem Statement:**The vapor pressure of ethanol is 54.68 mm Hg at 25°C.**Question:**How many grams of estrogen (estradiol), C₁₈H₂₄O₂, a nonvolatile, nonelectrolyte (MW = 272.4 g/mol), must be added to 245.3 grams of ethanol to reduce the vapor pressure to 53.74 mm Hg?**Given Data:**- Ethanol formula: CH₃CH₂OH- Molar mass of ethanol: 46.07 g/mol**Calculation Required:**\[\_\_\_\_\_\_\_\_\_\] g of estrogen**Options for Submission:**- Submit Answer- Retry Entire Group- 9 more group attempts remaining**Technical Support:**Cengage Learning | Cengage Technical Support(Note: Below the problem, navigation options such as "Previous" and "Next" are available for moving through the questions.)

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The vapor pressure of ethanol is 54.68 mm Hg at 25 °C. A nonvolatile, nonelectrolyte that dissolves in ethanol is saccharin Calculate the vapor pressure of the solution at 25 °C when 13.39 grams of saccharin, C-H5NO3S (183.2 g/mol), are dissolved in 204.9 grams of ethanol. ethanol = CH3CH2OH = 46.07 g/mol. VP(solution) = mm Hg

The vapor pressure of ethanol is 54.68 mm Hg at 25 °C. A nonvolatile, nonelectrolyte that dissolves in ethanol is saccharin Calculate the vapor pressure of the solution at 25 °C when 13.39 grams of saccharin, C-H5NO3S (183.2 g/mol), are dissolved in 204.9 grams of ethanol. ethanol = CH3CH2OH = 46.07 g/mol. VP(solution) = mm Hg

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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