Give the half-cell and net reactions in the lithium-manganese dioxide cell.
 

From the following molar conductivities at infinite dilution: $\mathrm{\Lambda }{°}_{\mathrm{m}}$ for $\mathrm{Ba}(\mathrm{OH}{)}_2=457.6 {\mathrm{\Omega }}^{-1} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1}$; $\mathrm{\Lambda }{°}_{\mathrm{m}} \mathrm{for} {\mathrm{BaCl}}_2=240.6 {\mathrm{\Omega }}^{-1} {\mathrm{cm}}^{2 }{\mathrm{mol}}^{-1 }$; $\mathrm{\Lambda }{°}_{\mathrm{m} }\mathrm{for} {\mathrm{NH}}_4\mathrm{Cl}=129.8 {\mathrm{\Omega }}^{-1} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1}$. Calculate $\mathrm{\Lambda }{°}_{\mathrm{m}}$ for ${\mathrm{NH}}_4\mathrm{OH}$.

The following curve is obtained when molar conductivity, ${\mathrm{\Lambda }}_{\mathrm{m}}$ is plotted against the square root of concentration,${\mathrm{C}}^{1/2}$ along $\mathrm{B}$ and $\mathrm{A}-$axis respectively for the two electrolytes $\mathrm{A}$ and $\mathrm{B}$.  What can you say about the nature of these two electrolytes?

The following curve is obtained when molar conductivity,${\mathrm{\Lambda }}_{\mathrm{m}}$ is plotted against the square root of concentration, ${\mathrm{C}}^{1/2}$ along $\mathrm{B}$ and $\mathrm{A}$-axis respectively for the two electrolytes $\mathrm{A}$ and $\mathrm{B}$. Account for the increase in ${\mathrm{\Lambda }}_{\mathrm{m}}$ for the electrolytes $\mathrm{A}$ and $\mathrm{B}$ with dilution.

The following curve is obtained when molar conductivity, ${\mathrm{\Lambda }}_{\mathrm{m} }$ is plotted against the square root of concentration,${\mathrm{C}}^{1/2}$ along $\mathrm{B}$and $\mathrm{A}$-axis respectively for the two electrolytes $\mathrm{A}$ and $\mathrm{B}$. Determine ${{\mathrm{\Lambda }}^{\infty }}_{\mathrm{m}}$ for these electrolytes.