Which will have minimum osmotic pressure a. 200 ml of 2m NaCl. b. 200 ...
Minimum Osmotic Pressure
Introduction
Osmotic pressure is the pressure that must be applied to prevent the movement of water through a semipermeable membrane. It is directly proportional to the concentration of solute in the solution. The higher the concentration of solute, the higher the osmotic pressure.
Analysis
In this case, we have three solutions - 2M NaCl, 1M glucose, and 2M urea. To determine which solution has the minimum osmotic pressure, we need to calculate the osmotic pressure of each solution and compare them.
Calculation of Osmotic Pressure
The formula for calculating osmotic pressure is:
Osmotic pressure = Molarity x Gas constant x Temperature
Where,
Molarity - concentration of solute in moles per liter
Gas constant - 0.0821 L atm/mol K
Temperature - temperature in Kelvin
Calculation for NaCl
For 2M NaCl solution,
Molarity = 2 mol/L
Temperature = 298 K
Osmotic pressure = 2 x 0.0821 x 298 = 48.8 atm
Calculation for Glucose
For 1M glucose solution,
Molarity = 1 mol/L
Temperature = 298 K
Osmotic pressure = 1 x 0.0821 x 298 = 24.4 atm
Calculation for Urea
For 2M urea solution,
Molarity = 2 mol/L
Temperature = 298 K
Osmotic pressure = 2 x 0.0821 x 298 = 48.8 atm
Conclusion
From the above calculations, we can see that both NaCl and urea solutions have the same osmotic pressure of 48.8 atm, while the glucose solution has a lower osmotic pressure of 24.4 atm. Therefore, the answer is option (b) - 200 ml of 1M glucose solution will have the minimum osmotic pressure.