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If a solution contain different type of ions, then fraction of current carried by each ion is different. What must be the ratio of concentration of HCl and NaCl in a solution if the fraction of current carried by H ⁺ is 0.5 . (Given _ M of Na ⁺, H ⁺ and Cl ⁻ are 50 Scm ^2 ~mol ⁻¹, 350 Scm ^2 ~mol ⁻¹ and 76 Scm ^2 ~mol ⁻¹ respectively)

Options

  1. A2.16
  2. B1.85
  3. C0.46
  4. D0.94

Correct answer

C. 0.46

Step-by-step solution

Let concentration of HCl and NaCl are C ₁ and C ₂ So [ H ⁺ ]= C ₁, [ Na ⁺ ]= C ₂ [ Cl ⁻ ]= C ₁+ C ₂ Fraction of current carried by H ⁺=0.5 So, 0.5= C ₁ [ H ⁺ ] C ₁ [ H ⁺ ]+ C ₂ [ Na ⁺ ]+ ( C ₁+ C ₂ ) [ Cl ⁻ ] C₁ C₂ = 50+76 350-76 =0.46

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