Given the solutions are 1.0 mol of in 1.0 kg water and 1.0 mol glucose in 1.0 kg water.
Osmotic pressure of a solution can be calculated using the formula:
Osmotic pressure, π = iMRT
Where i is the number of ions the solute can give in solution.
M is the molar concentration.
R is gas constant.
T is the temperature in Kelvin scale.
When we compare both the solutions, all the other variables that the osmotic pressure are same except the i value.
For solution i = 4 as it can give 4 ions in solution, 1
and 3
ions.
Glucose is a non electrolyte, therefore it cannot give any ions in solution. So, for glucose solution i = 1
Hence, we can conclude that the osmotic pressure of solution will be 4 times that of glucose solution of same concentration.