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BITSAT 2012
Exam
BITSAT
Year
2012
Subject
Chemistry
Chapter
Electrochemistry

BITSAT 2012 · Chemistry · Electrochemistry

The ionic conductance of Ba^ 2+ and Cl^ - respectively are 127 and...

The ionic conductance of Ba2+\mathrm{Ba}^{2+} and Cl−\mathrm{Cl}^{-} respectively are 127 and 76Ω−1cm276 \Omega^{-1} \mathrm{ cm}^{2} at infinite dilution. The equivalent conductance of BaCl2\mathrm{BaCl}_{2}, at infinite dilution will be

Options

  1. A330Ω−1cm2330 \Omega^{-1} \mathrm{ cm}^{2}
  2. B203Ω−1cm2203 \Omega^{-1} \mathrm{ cm}^{2}
  3. C139Ω−1cm2139 \Omega^{-1} \mathrm{ cm}^{2}
  4. D51Ω−1cm251 \Omega^{-1} \mathrm{ cm}^{2}

Correct answer

C. 139Ω−1cm2139 \Omega^{-1} \mathrm{ cm}^{2}

Step-by-step solution

\begin{aligned} & \lambda_{\mathrm{m}^{{}^{\circ}} \text{ for } \mathrm{BaCl}_{2}=\lambda_{\mathrm{m}^{{}^{\circ}} \mathrm{Ba}^{2+}+\lambda_{\mathrm{m}^{{}^{\circ}} \mathrm{Cl}^{-} \\ &=\frac{1}{2} \times 127+76=139.5 \Omega^{-1} \mathrm{ cm}^{2} \end{aligned}
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