Part of PP-04 — Transport in Plants & Mineral Nutrition

Water Potential & Osmotic Calculations

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All Formulas for NEET Water Potential Questions

Core Equation:

Ψw = Ψs + Ψp

Van't Hoff Equation (osmotic potential from concentration):

Ψs = -iCRT
Where:
  i = van't Hoff factor (ionisation coefficient)
  C = molar concentration $\frac{mol}{L}$
  R = gas constant (0.0831 L·bar/mol·K or 8.314 J/mol·K)
  T = temperature in Kelvin (°C + 273)

Example Calculation: For 0.1 M NaCl (i = 2, T = 25°C = 298 K): Ψs = -2 × 0.1 × 0.0831 × 298 = -4.95 bars ≈ -5 bars

Key Reference States:

StateΨpΨsΨw
Pure water000
Flaccid cell0ΨsΨs (= incipient plasmolysis)
Turgid cellPositiveNegativeΨs + Ψp (> Ψs)
Fully turgidMaximumΨs0 (if in pure water)
Wilted/plasmolysed0 or negativeNegativeVery negative

Direction of Water Flow Rule:

Water flows: Higher Ψw → Lower Ψw
(From less negative to more negative)

Pressure Bomb Formula (for measuring xylem tension):

Ψxylem ≈ -$P_{applied}$ (where P is the pressure needed to push sap back to cut surface)

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