### Concepts of Freezing Point Depression and Boiling Point Elevation**Instructions:****1. Select the one with the highest boiling point.****2. Select the one with the lowest freezing point.**Options: - A. 1.0 m KNO₃- B. 0.75 m NaCl- C. 0.75 m CuCl₂- D. 2.0 m C₁₂H₂₂O₁₁ (sucrose)- E. Pure water**Problem:**Determine the freezing point of a solution that contains 0.31 mol of sucrose in 175 g of water, where \( K_f = 1.86^{\circ}C/m \).Your answer choices:- A. 3.3°C- B. 1.1°C- C. 0.0°C- D. –1.1°C- E. –3.3°C**Solution:**To find the freezing point of the solution, use the formula for freezing point depression:\[ \Delta T_f = i \times K_f \times m \]Where:- \( \Delta T_f \) is the freezing point depression.- \( i \) is the van't Hoff factor (which is 1 for sucrose since it does not ionize in solution).- \( K_f \) is the cryoscopic constant of the solvent.- \( m \) is the molality of the solution.First, calculate the molality (\( m \)) of the solution:\[ m = \frac{moles \, of \, solute}{kg \, of \, solvent} \]Moles of sucrose = 0.31 molMass of water = 175 g = 0.175 kg\[ m = \frac{0.31 \, mol}{0.175 \, kg} \approx 1.77 \, m \]Next, calculate the freezing point depression:\[ \Delta T_f = 1 \times 1.86^{\circ}C/m \times 1.77 \, m \]\[ \Delta T_f \approx 3.3^{\circ}C \]Since this is the depression of the freezing point, subtract it from the normal freezing point of pure water (0°C):\[ Final \,

Elevation of boiling point (∆Tb) is directly proportional to molality of solution ∆Tb = i × Kb × m…

Select the one with the highest boiling point. Select the one with the lowest freezing point. A. 1.0 m KNO3 B. 0.75 m NaCl C. 0.75 m CuCl₂ D. 2.0 m C12H22O11 (sucrose) E. pure water Determine the freezing point of a solution that contains 0.31 mol of sucrose in 175 g of water, where K₁ = 1.86°C/m. A. 3.3°C Your answer: B. 1.1°C C. 0.0°C D. -1.1°C E.-3.3°C

Select the one with the highest boiling point. Select the one with the lowest freezing point. A. 1.0 m KNO3 B. 0.75 m NaCl C. 0.75 m CuCl₂ D. 2.0 m C12H22O11 (sucrose) E. pure water Determine the freezing point of a solution that contains 0.31 mol of sucrose in 175 g of water, where K₁ = 1.86°C/m. A. 3.3°C Your answer: B. 1.1°C C. 0.0°C D. -1.1°C E.-3.3°C

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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