Calculate the cell constant of a conductivity cell containing $0.01 \ M \ AgNO_3$ solution having a resistance of $1440 \ \Omega$ and a conductivity of $0.001262 \ \Omega^{-1} \ cm^{-1}$. (in $cm^{-1}$)

For which of the following electrolytes does the graph of $\Lambda_m$ vs $\sqrt{C}$ give a negative slope?

Which of the following options is true when an electrolyte solution is diluted?

Which among the following statements is true for conductivity?

At $25^o C$,the molar conductivity of a $0.1 \, N \, CH_3COOH$ solution is $80 \, S \, cm^2 \, mol^{-1}$ and the molar conductivity at infinite dilution is $400 \, S \, cm^2 \, mol^{-1}$. What is the degree of dissociation $(\alpha)$ of $CH_3COOH$?

If the distance between two $Pt$ electrodes is $2 \, cm$,the cross-sectional area is $4.0 \, cm^2$,and the resistance is $25 \, \Omega$,find the molar conductivity of a $0.5 \, M$ solution.