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.

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?

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.