Final answer:
To determine the concentration of calcium chloride in water needed to produce an aqueous solution with an osmotic pressure of 25 atm at 26.3°C, you can use the can't Hoff factor formula. The van't Hoff factor (i) represents the number of particles formed when a solute dissolves in a solvent. In this case, calcium chloride (CaCl2) dissociates into three ions in water (Ca2+ and 2Cl-), so the can't Hoff factor is 3.
Step-by-step explanation:
To determine the concentration of calcium chloride in the water needed to produce an aqueous solution with an osmotic pressure of 25 atm at 26.3°C, we can use the can't Hoff factor formula. The van't Hoff factor (i) represents the number of particles formed when a solute dissolves in a solvent. In this case, calcium chloride (CaCl2) dissociates into three ions in water (Ca2+ and 2Cl-), so the can't Hoff factor is 3. We can use the following formula to calculate the molarity (M) of calcium chloride:
M = osmotic pressure / (i * R * T)
Where:
M = molarity of calcium chloride
osmotic pressure = 25 atm
i = 3 (can't Hoff factor)
R = ideal gas constant (0.0821 L.atm/K.mol)
T = temperature in Kelvin (26.3°C + 273.15 = 299.45 K)
By substituting the values into the formula, we can solve for M, the molarity of calcium chloride in water.