A solution is made by dissolving 19.5 g of sucrose,C₁₂H₂₂O₁₁,in 117 g of water,producing a solution with a volume of 125 mL at 20°C.What is the expected osmotic pressure at 20°C? A)11.0 atm B)23.2 atm C)50.0 atm D)58 atm

Question

Quizplus · Accepted Answer

The osmotic pressure ($\Pi$) can be calculated using the formula $\Pi = iMRT$, where $i$ is the van't Hoff factor (which is 1 for sucrose since it doesn't ionize in solution), $M$ is the molarity of the solution, $R$ is the ideal gas constant (0.0821 L·atm/K·mol), and $T$ is the temperature in Kelvin. First, convert the mass of sucrose to moles ($\frac{19.5 g}{342.3 g/mol}$), then calculate the molarity ($\frac{moles}{0.125 L}$), and finally, use the formula with $T = 293 K$ (20°C + 273). The calculation yields approximately 11.0 atm.

A Solution Is Made by Dissolving 19