An artificial cell is made by encapsulating 0.2 M glucose solution within a semipermeable membrane. The osmotic pressure developed when the artificial cell is placed within a 0.05 M solution of NaCl at 300 K is 10-1 bar. (nearest integer). [Given : R = 0.083 L bar mol-1 K-1] Assume complete dissociation of NaCl
Answer
25
Solution
Osmotic pressure across the membrane: = (i1C1 - i2C2)RT
Glucose: i1C1 = 1 0.2 = 0.2 M ; NaCl → Na+ + Cl-: i2C2 = 2 0.05 = 0.1 M
= (0.2 - 0.1) 0.083 300
= 2.49 bar = 24.9 10-1 bar ≈ 25 10-1 bar
Answer: 25