The metal which is the best conductor of electricity is

The conductivity of a $0.05 \, M$ solution of a weak monobasic acid is $10^{-3} \, S \, cm^{-1}$. If $\lambda_{m}^{\infty}$ for the weak acid is $500 \, S \, cm^{2} \, mol^{-1}$,calculate the $K_{a}$ of the weak monobasic acid.

The conductivity of a saturated solution of $AgCl$ at $288 \ K$ is $1.382 \times 10^{-6} \ \Omega^{-1} \ cm^{-1}$. Find its solubility in $g \ L^{-1}$. The ionic conductivities of $Ag^+$ and $Cl^-$ at infinite dilution are $61.9 \ \Omega^{-1} \ cm^2 \ mol^{-1}$ and $76.3 \ \Omega^{-1} \ cm^2 \ mol^{-1}$ respectively.

On dilution,which of the following quantities decreases?

Resistance of a cell containing $0.02 \ M \ KCl$ solution is $164 \ \Omega$. If the cell is filled with $0.05 \ M \ AgNO_3$,the resistance becomes $75.8 \ \Omega$. Calculate the following: [Conductivity of $0.02 \ M \ KCl = 2.768 \times 10^{-3} \ \Omega^{-1} \ cm^{-1}$] $(i)$ Conductivity of $0.05 \ M \ AgNO_3$ (ii) Molar conductivity of $AgNO_3$ solution.

Molar conductivity of $0.01 \ M \ CH_3COOH$ is $19.5 \ \Omega^{-1} \ cm^2 \ mol^{-1}$. Calculate its degree of dissociation if molar conductivity at zero concentration is $390 \ \Omega^{-1} \ cm^2 \ mol^{-1}$.