Osmotic Pressure
Osmotic pressure is the pressure applied by a solution to prevent the inward flow of water across a semipermeable membrane.
The osmotic pressure is expressed by the formula: where: Π is the osmotic pressure in atm i = van 't Hoff factor of the solute. M = molar concentration in mol/L R = universal gas constant = 0.082057 L atm mol-1 K-1 T is the temperature of the gas (measured in Kelvin).
The universal, gas constant (R) is a numerical value made up of the combination of atandard pressure (1 atmosphere or 760 torr), stanard temperature (273 K), and the fact that 1 mole of a gas occupies a volume of 22.4 liters at STP.
Values of R |
---|
0.082057 L atm mol-1 K-1 |
62.364 L Torr mol-1 K-1 |
8.3145 m3 Pa mol-1 K-1 |
8.3145 J mol-1 K-1 |
Example 1: 10 grams of glucose is dissolved in 200 ml of water. What is the osmotic pressure at 30 °C? i = van 't Hoff factor for glucose i = 1 molar mass of glucose (C6H12O6) = 6(12) + 12(1) + 6(16) = 180 g/mol n = Moles for glucose = 10 g x 1 mol/180 g = 0.0555 mol M = molar concentration in mol/L = mol/Volume = 0.0555/(200 ml x 1 L/1000 ml) = 0.0555/0.2L = 0.2775 mol/L R = universal gas constant = 0.082057 L atm mol-1 K-1 T is the temperature of the gas (measured in Kelvin) = 30 + 273 = 303 K
Osmotic Pressure is based upon absolute temperature. The absolute temperature is calculated by adding 273 to the temperature in Celsius scale. 10°C is equiavalent to 283 K.