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A conductivity cell with a cell constant of 0.4 cm ⁻¹ is filled with a 0.02 M solution of an electrolyte. If the measured resistance of the cell is 100 , the molar conductivity of the solution is:

Options

  1. A0.2 S cm ^2 mol ⁻¹
  2. B200 S cm ^2 mol ⁻¹
  3. C1.25 10^7 S cm ^2 mol ⁻¹
  4. D2 10⁻⁴ S cm ^2 mol ⁻¹

Correct answer

B. 200 S cm ^2 mol ⁻¹

Step-by-step solution

First, calculate the conductivity ( ) of the solution using the cell constant ( G^* ) and resistance ( R ): = G^* R = 0.4 cm ⁻¹ 100 = 4 10⁻³ S cm ⁻¹ Next, calculate the molar conductivity ( _m ) using the formula: _m = 1000 C Substituting the values: _m = 4 10⁻³ 1000 0.02 = 4 0.02 = 200 S cm ^2 mol ⁻¹ Answer: 200 S cm ^2 mol ⁻¹

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