The $$\mathrm{E}^{\Theta}$$ values for

$$\begin{aligned} & \mathrm{Al}^{+} / \mathrm{Al}=+0.55 \mathrm{~V} \text { and } \mathrm{Tl}^{+} / \mathrm{Tl}=-0.34 \mathrm{~V} \\ & \mathrm{Al}^{3+} / \mathrm{Al}=-1.66 \mathrm{~V} \text { and } \mathrm{T}^{3+} / \mathrm{Tl}=+1.26 \mathrm{~V} \end{aligned}$$

Identify the incorrect statement

Molar conductance of an electrolyte increase with dilution according to the equation:

$$\Lambda_{\mathrm{m}}=\Lambda_{\mathrm{m}}^{\circ}-\mathrm{A} \sqrt{\mathrm{c}}$$

Which of the following statements are true?

(A) This equation applies to both strong and weak electrolytes.

(B) Value of the constant $$\mathrm{A}$$ depends upon the nature of the solvent.

(C) Value of constant $$\mathrm{A}$$ is same for both $$\mathrm{BaCl}_2$$ and $$\mathrm{MgSO}_4$$

(D) Value of constant $$\mathrm{A}$$ is same for both $$\mathrm{BaCl}_2$$ and $$\mathrm{Mg}(\mathrm{OH})_2$$

Choose the most appropriate answer from the options given below:

The correct value of cell potential in volt for the reaction that occurs when the following two half cells are connected, is

$$\begin{aligned} & \mathrm{Fe}_{(\mathrm{aq})}^{2+}+2 \mathrm{e}^{-} \rightarrow \mathrm{Fe}(\mathrm{s}), \mathrm{E}^{\circ}=-0.44 \mathrm{~V} \\ & \mathrm{Cr}_2 \mathrm{O}_7^{2-} \text { (aq) }+14 \mathrm{H}^{+}+6 e^{-} \rightarrow 2 \mathrm{Cr}^{3+}+7 \mathrm{H}_2 \mathrm{O} \\ & \mathrm{E}^{\circ}=+1.33 \mathrm{~V} \end{aligned}$$

The conductivity of centimolar solution of $$\mathrm{KCl}$$ at $$25^{\circ} \mathrm{C}$$ is $$0.0210 ~\mathrm{ohm}^{-1} \mathrm{~cm}^{-1}$$ and the resistance of the cell containing the solution at $$25^{\circ} \mathrm{C}$$ is $$60 ~\mathrm{ohm}$$. The value of cell constant is -