Answer:
10,6g of cholesterol are needed.
Explanation:
The formula of osmotic pressure is:
π = i×M×R×T
Where:
π is osmotic pressure (2,61atm), M is molarity of solution i is Van't Hoff's factor (1 for nonelectrolytes), R is gas constant (0,082atmL/molK), and T is temperature in Kelvin.
Assuming the temperature in the problem is 298K:
2,61 atm = 1×M×0,082atmL/molK×298K
0,107mol/L = M
In a solution of 257mL (0,257L), moles are:
0,257L×(0,107mol/L) = 0,027 moles. Using molecular mass:
0,027moles of cholesterol× (386,6g / mol) = 10,6g of cholesterol are needed.
I hope it helps!
