A solution of ascorbic acid (C₆H₈O₆) was prepared in 180.0 g of water. The solution was found to have a boiling point of 101.25 °C. Find the molality of the solution. The value of K_b for water is 0.52 °C•kg/mol.

A solution containing 0.200 mol of a nonvolatile nondissociating solute in 400 g phenol boils at 183.47 ºC. If pure phenol boils at 181.7 ºC, calculate the ebullioscopic constant K_b for phenol.

The boiling point and boiling point elevation constant of chloroform are 61.2 °C and 3.63 °C/m, respectively. What is the boiling point of a solution made of 89.3 g of benzoic acid (molar mass = 122.12 g/mol) is dissolved in 853 mL of chloroform (1.49 g/mL) ?

A 1.127 g chunk of an unknown metal was dissolved in excess aqueous HCl. The volume of the evolved hydrogen gas was measured to be 720 mL at 23.0 °C and 0.954 atm pressure. When the reaction mixture was heated to drive off excess HCl and water, a colorless crystalline solid (MCl_x) was obtained. The solid was then redissolved in 45.0 g of water to make a clear solution. The freezing point of the solution was measured as –3.50 °C. Determine the molar mass and the molecular formula of MCl_x.

Determine the boiling point and freezing point of an aqueous solution that is 8.70% KClO₃ by mass. Assume that KClO₃ completely dissociates in water.

The freezing point of an aqueous solution of calcium chloride (CaCl₂) is –2.00 °C. The solution was prepared by dissolving 19.8 g of CaCl₂ in 450 g of water. What is the value of the van't Hoff factor (i) for CaCl₂?  (K_f for water = 1.86 °C•kg/mol)

Assume that you have engineered a cell using a biosynthetic semipermeable membrane in a bioengineering laboratory. Instead of the usual 0.3 M ionic strength inside normal cells, this cell has an internal ionic strength of 0.45 M. The cell is submerged in a saline solution having an ionic strength of 0.30 M.

Initially, the volume of the cell is 5 µm³. Assuming there won't be any change in the volume of the solution outside the cell, what will be the volume of the cell after the system has come to equilibrium through osmosis?

A 1.050 g mixture of NaCl, NaNO₃, and Mg(NO₃)₂ that has 12.41 % chlorine by mass was dissolved in 510.0 mL water at 25 °C. The resulting solution was found to have an osmotic pressure of 745.0 mmHg. Calculate the percentage mass of NaCl, NaNO₃, and Mg(NO₃)₂.

For an aqueous solution containing 9.31 mg of lycopene (537 g/mol) in 5.12 mL of solution at 298 K, what osmotic pressure in mm Hg would you anticipate? What would the water column's height be in meters? The density of mercury is 13.534 g/mL at 298 K.

Benzylpenicillin is a natural penicillin antibiotic commonly given intravenously because of its poor oral absorption. A 10.0 mL injectable solution contains 600 mg benzylpenicillin and has an osmotic pressure of 4.462 atm at 30 °C. Calculate the molar mass of benzylpenicillin using this information.

What is the vapor pressure in mmHg of a solution containing 0.178 g Cl₂ and 4.67 g CBr₄ at 313 K if the vapor pressures of pure Cl₂ and pure CBr₄ at 313 K are 427 kPa and 12.8 kPa, respectively?

The vapor pressure of a solution of KBr in water and ethanol (CH₃CH₂OH) is 151 mm Hg at 50.0 °C and 374 mm Hg at 70.0 °C. What is the mass percent of KBr, water, and ethanol in the solution if water has a vapor pressure of 92.5 mm Hg at 50 °C and 234 mm Hg at 70 °C, while ethanol has a vapor pressure of 220 mm Hg at 50 °C and 541 mm Hg at 70 °C?