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BITSAT 2021
Exam
BITSAT
Year
2021
Subject
Chemistry
Chapter
Electrochemistry

BITSAT 2021 · Chemistry · Electrochemistry

At 25^ ^ C , the molar conductance at infinite dilution for the...

At 25∘C25^{{}^{\circ}} \mathrm{C}, the molar conductance at infinite dilution for the strong electrolytes NaOH,NaCl\mathrm{NaOH}, \mathrm{NaCl} and BaCl2\mathrm{BaCl}_{2} are 248×10−4,126×10−4248 \times 10^{-4}, 126 \times 10^{-4} and 280×10−4Sm2mol−1280 \times 10^{-4} \mathrm{Sm}^{2} \mathrm{ mol}^{-1} respectively. Δm0Ba(OH)2\Delta_{\mathrm{m}}{ }^{0} \mathrm{Ba}(\mathrm{OH})_{2} in Sm2mol−1\mathrm{Sm}^{2} \mathrm{ mol}^{-1} is

Options

  1. A52.4×10−452.4 \times 10^{-4}
  2. B524×10−4524 \times 10^{-4}
  3. C402×10−4402 \times 10^{-4}
  4. D262×10−4262 \times 10^{-4}

Correct answer

B. 524×10−4524 \times 10^{-4}

Step-by-step solution

\Delta_{\mathrm{Na}^{+}}^{{}^{\circ}}+\Delta_{\mathrm{OH}^{-}}^{{}^{\circ}}=248 \times 10^{-4} \mathrm{Sm}^{2} \mathrm{ mol}^{-1}\Delta_{\mathrm{Na}^{+}}^{{}^{\circ}}+\Delta_{\mathrm{Cl}^{-}}^{{}^{\circ}}=126 \times 10^{-4} \mathrm{Sm}^{2} \mathrm{ mol}^{-1}\Delta_{\mathrm{Ba}^{{}^{\circ}}{ }^{2+}+\Delta{ }_{2 \mathrm{Cl}^{-}}^{{}^{\circ}}=280 \times 10^{-4} \mathrm{Sm}^{2} \mathrm{ mol}^{-1}\mathrm{NoW}, \Delta_{\mathrm{Ba}(\mathrm{OH})_{2}}^{{}^{\circ}}=\Delta_{\mathrm{BaCl}_{2}}^{{}^{\circ}}+2 \Delta{ }^{{}^{\circ}}{ }_{\mathrm{NaOH}^{{}^{\circ}}-2 \Delta{ }_{\mathrm{NaC} 1}^{{}^{\circ}}\Delta{ }_{\mathrm{Ba}(\mathrm{OH})_{2}}^{{}^{\circ}}=280 \times 10^{-4}+2 \times 248 \times 10^{-4}-2 \times 126 \times 10^{-4}\Delta_{\mathrm{Ba}(\mathrm{OH})_{2}}^{{}^{\circ}}=524 \times 10^{-4} \mathrm{Sm}^{2} \mathrm{ mol}^{-1}
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