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Q5(c):
Differentiate between the following: (c) Osmotic Pressure and Osmotic Potential

Solution :

Theoretical Foundation & Definitions

In plant physiology, the movement of water across semi-permeable membranes is governed by the thermodynamic potential of water. The terms Osmotic Pressure and Osmotic Potential are related but distinct in sign and physical definition.

Step 1: Defining Osmotic Pressure ($\Psi_\pi$)

Osmotic Pressure is defined as the external pressure that must be applied to a solution to prevent the inward flow of water across a semi-permeable membrane. [Per the definition of Van't Hoff’s law of osmotic pressure].

  • It is always a positive value.
  • It represents the pressure equivalent of the solute concentration.
  • Mathematical notation: $\Pi = iCRT$, where $i$ is the Van't Hoff factor, $C$ is molar concentration, $R$ is the gas constant, and $T$ is absolute temperature.

Step 2: Defining Osmotic Potential ($\Psi_s$)

Osmotic Potential, also known as Solute Potential ($\Psi_s$), is the component of water potential that is due to the presence of solute molecules. [Per the Water Potential Equation: $\Psi_w = \Psi_s + \Psi_p$].

  • It is always a negative value (or zero for pure water).
  • It quantifies the reduction in the free energy of water caused by solutes.
  • Relation to Osmotic Pressure: $\Psi_s = -\Pi$.

Step 3: Comparative Analysis

Feature Osmotic Pressure ($\Pi$) Osmotic Potential ($\Psi_s$)
Sign Always positive ($+$) Always negative ($-$)
Definition The pressure required to stop osmosis. The effect of solutes on water potential.
Relationship $\Pi = -\Psi_s$ $\Psi_s = -\Pi$

Step 4: Visualization of Osmotic Dynamics

Pure Water Solution (Solutes) Membrane Water movement

Figure: Semi-permeable membrane allowing water flux toward the solution side, identifying the site where osmotic pressure/potential is measured.

Final Solution: Osmotic pressure is the positive pressure applied to stop osmosis, whereas osmotic potential is the negative contribution of solutes to the total water potential; they are numerically equal but opposite in sign ($\Psi_s = -\Pi$).


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