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Find the activity coefficient of BaCl2

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DSSSB PGT Chemistry (Female) Official Paper (Held On: 06 Jul, 2018 Shift 1)
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  1. (γ ± m)2
  2. 2γ ±3 m3
  3. 3 γ ±3 m3
  4. 4 γ ±3 m3

Answer (Detailed Solution Below)

Option 4 : 4 γ ±3 m3
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Detailed Solution

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CONCEPT:

Activity Coefficient of Electrolytes

  • The activity coefficient (γ±) is a measure of the deviation of an electrolyte's behavior from ideality in solution.
  • For strong electrolytes like BaCl2, the activity coefficient is influenced by the ionic strength of the solution and the interactions between ions.
  • The Debye-Hückel theory provides a way to approximate the activity coefficients for electrolytes in dilute solutions.

EXPLANATION:

  • Barium chloride (BaCl2) dissociates into ions as:

    BaCl2(aq) → Ba2+(aq) + 2Cl-(aq)

  • The activity coefficient (γ±) is calculated for the overall ionic strength of the dissociated ions.
  • 4γ ±3 m3 is correct because BaCl2 dissociates into 1 Ba2+ ion and 2 Cl- ions (total 3 particles), and the coefficient aligns with this dissociation.

Therefore, the correct answer is 4γ ±3 m3.

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