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 ‘’The flow of the solvent from higher concetration
to lower solvent concetration is called osmosis’’.
The equilibrium hydrostatic pressure of the
column set up as a result of osmosis is called
osmotic pressure.
1. Laws of osmotic pressure
A substance in the solution behaves exactly
like a gas and the osmotic pressure of a dilute
solution is equal to the pressure which the
solute would exert, if it were a gas at the
same temperature and occupying the same
volume as a solution.
This theory based on simple laws. Just like the
gas laws. These law are discussed as follows.
Vent Hoff-Boyle’s law:
i. ‘’According to this law, at a certain temperature, the
osmatic pressure of a solution is proporational to its molar
concentration.’’
 𝜋 ∝ C (at const. temperature)
 𝜋 = K.C. (at const. temperature)

𝜋
𝑐
= K (at const. temperature)
 𝜋V=k
Hence,
this is just like a bole law for gases according to which pv=
constant, at a constant temperature.
 “According to this law the osmatic pressure of a
solution is proportional to absolute temperature at
a given concentration.’’
𝜋 = T (When concentration is const.)
X = KT (When concentration is const.)
𝜋
𝑇
= K (When concentration is const.)
This is just like the pressure temperature law for gases.
𝑝
𝑇
= k
 In the above mentioned three laws, we have
been given the idea that:
 𝜋 ∝
1
𝑉
 𝜋 ∝ 𝑇
 𝜋 ∝ 𝑛
 If all these three parameter V, T and n vary
simultaneously, then
 𝜋 ∝
𝑛𝑇
𝑉
 𝜋 = 𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡
𝑛𝑇
𝑉
 𝜋𝑉 = 𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡 𝑛𝑇
 The value of the constant determined by various
experiment is general gas constant “ R”.
 So 𝜋𝑉 = 𝑛𝑅𝑇
 This equation is identical to ideal gas equation
 PV = nRT
 It is found that the dilute solution behave just
like ideal gases.
 We have derived the general equation for solutions
as
𝜋𝑉 = 𝑛𝑅𝑇
𝜋 =
𝑛
𝑉
. RT
𝜋 = 𝐶. 𝑅𝑇
 AT constant temperature.
𝜋 ∝ 𝐶
It means that the osmotic pressure only depend upon
the concentration of the solution but not upon the
nature of solute. Hence, osmotic pressure is a
colligative property.

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Osmotic Pressure Laws: Van't Hoff's Law and Boyle's Law

  • 1.
  • 2.
  • 3.  ‘’The flow of the solvent from higher concetration to lower solvent concetration is called osmosis’’.
  • 4. The equilibrium hydrostatic pressure of the column set up as a result of osmosis is called osmotic pressure. 1. Laws of osmotic pressure
  • 5. A substance in the solution behaves exactly like a gas and the osmotic pressure of a dilute solution is equal to the pressure which the solute would exert, if it were a gas at the same temperature and occupying the same volume as a solution. This theory based on simple laws. Just like the gas laws. These law are discussed as follows.
  • 6. Vent Hoff-Boyle’s law: i. ‘’According to this law, at a certain temperature, the osmatic pressure of a solution is proporational to its molar concentration.’’  𝜋 ∝ C (at const. temperature)  𝜋 = K.C. (at const. temperature)  𝜋 𝑐 = K (at const. temperature)  𝜋V=k Hence, this is just like a bole law for gases according to which pv= constant, at a constant temperature.
  • 7.  “According to this law the osmatic pressure of a solution is proportional to absolute temperature at a given concentration.’’ 𝜋 = T (When concentration is const.) X = KT (When concentration is const.) 𝜋 𝑇 = K (When concentration is const.) This is just like the pressure temperature law for gases. 𝑝 𝑇 = k
  • 8.  In the above mentioned three laws, we have been given the idea that:  𝜋 ∝ 1 𝑉  𝜋 ∝ 𝑇  𝜋 ∝ 𝑛  If all these three parameter V, T and n vary simultaneously, then  𝜋 ∝ 𝑛𝑇 𝑉
  • 9.  𝜋 = 𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡 𝑛𝑇 𝑉  𝜋𝑉 = 𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡 𝑛𝑇  The value of the constant determined by various experiment is general gas constant “ R”.  So 𝜋𝑉 = 𝑛𝑅𝑇  This equation is identical to ideal gas equation  PV = nRT  It is found that the dilute solution behave just like ideal gases.
  • 10.  We have derived the general equation for solutions as 𝜋𝑉 = 𝑛𝑅𝑇 𝜋 = 𝑛 𝑉 . RT 𝜋 = 𝐶. 𝑅𝑇  AT constant temperature. 𝜋 ∝ 𝐶 It means that the osmotic pressure only depend upon the concentration of the solution but not upon the nature of solute. Hence, osmotic pressure is a colligative property.