Question

For the strong electrolytes $NaOH,NaCl$ and $BaC{l}_2$ the molar ionic conductivities at infinite dilution are 250, 125 and 300 $mhoc{m}^{2}mo{l}^{-1}$ respectively. The molar conductivity of $Ba{\left(OH\right)}_2$ at infinite dilution ( $mhoc{m}^{2}mo{l}^{-1}$ ) is.

Answer 1

Answer: 50

${\lambda }^{\circ }\left(\mathrm{Ba}(\mathrm{OH}{)}_2\right)={\lambda }^{\circ }\left({\mathrm{BaCl}}_2\right)+2{\lambda }^{\circ }(\mathrm{NaOH})-2{\lambda }^{\circ }(\mathrm{NaCl})$
${\lambda }^{\circ }\left(\mathrm{Ba}(\mathrm{OH}{)}_2\right)=300+2(250)-2(125)$
${\lambda }^{\circ }\left(\mathrm{Ba}(\mathrm{OH}{)}_2\right)=300+500-250$ ${\lambda }^{\mathrm{o}}\left(\mathrm{Ba}(\mathrm{OH}{)}_2\right)=550\mathrm{mho}{\mathrm{cm}}^2{\mathrm{mol}}^{-1}$