Which one of the following is the correct plot of $\Lambda_m$ (in $S \ cm^2 \ mol^{-1}$) and $\sqrt{C}$ (in $mol^{1/2} \ L^{-1/2}$) for a $KCl$ solution? ($y=\Lambda_m$; $x=\sqrt{C}$)

Derive the relation between the dissociation constant $K_a$ and the limiting molar conductivity $\Lambda_m^o$ for a solution of a weak electrolyte.

When a piece of copper wire is dipped in $AgNO_3$ solution,the colour of the solution turns blue due to

At $298 \ K$ temperature,if $E^o_{Mg^{2+}|Mg} = -2.37 \ V$ and $E^o_{Co^{2+}|Co} = -0.28 \ V$,construct a galvanic cell and provide its symbolic representation.

Which of the following statements is true for a standard electrochemical cell consisting of $H_2$ and $Cu$ electrodes?

If less than $1.1 \ V$ external opposite current is passed through the Daniell cell,for such condition answer the following questions :
$(1)$ Which are anode and cathode ?
$(2)$ Give direction for electron and current flow.