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Colligative Properties of Electrolytes

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Estimated time: 5 minutes
Maharashtra State Board: Class 12

Key Points: Colligative Properties of Electrolytes

Electrolytes dissociate in solution → produce more particles → colligative properties are greater than expected. Observed molar masses are less than formula mass.

van't Hoff factor (i):

\[i=\frac{\text{Colligative property of electrolyte solution}}{\text{Colligative property of non-clectrolyte solution of same concentration}}\]

\[i=\frac{(\Delta T_f)_o}{(\Delta T_f)_t}=\frac{(\Delta T_b)_o}{(\Delta T_b)_t}=\frac{(\Delta P)_o}{(\Delta P)_t}=\frac{\pi_o}{\pi_t}=\frac{M_{\text{theoretical}}}{M_{\mathrm{observed}}}\]

Type Value of i Example
Non-electrolyte i = 1 Glucose, urea
Electrolyte (dissociates) i > 1 NaCl (i ≈ 2), CaCl₂ (i ≈ 3)
Strong electrolyte i = n (no. of ions after dissociation)
Weak electrolyte Degree of dissociation α = (i − 1)/(n − 1)
 

Modified Colligative Expressions:

\[\Delta P=i\cdot P_1^0\cdot x_2\]

\[\Delta T_{b}=iK_{b}m=\frac{i1000K_{b}w_{2}}{M_{2}W_{1}}\]

\[\Delta T_{f}=iK_{f}m=\frac{i1000\times K_{f}\times w_{2}}{M_{2}W_{1}}\]

\[\pi=i\cdot MRT=\frac{i\cdot W_{2}RT}{M_{2}V}\]

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