Kohlrausch Law

Q. The conductance of a 0.0015 M aqueous solution of a weak monobasic acid was determined by using a conductivity cell consisting of platinized Pt electrodes. The distance between the electrodes is 120 cm with an area of cross section of $1c{m}^2$. The conductance of this solution was found to be $5\times {10}^{-7}S$. The pH of the solution is 4. The value of limiting molar conductivity $\left({\Lambda }_m^{\circ }\right)$ of this weak monobasic acid in aqueous solution is $Z\times {10}^{2}Sc{m}^{-1}mo{l}^{-1}$. The value of Z is___

Q. At ${25}^{\circ }C$ molar conductance of 0.1 molar aqueous solution of ammonium hydroxide is $9.54oh{m}^{-1}c{m}^{2}mo{l}^{-1}$ and at infinite dilution its molar conductance is $238oh{m}^{-1}c{m}^{2}mo{l}^{-1}$. The degree of ionisation of ammonium hydroxide at the same concentration and temperature is

1. 4.008%
2. 40.800%
3. 2.080%
4. 20.800%

Q. Degree of dissociation $\alpha$ =

1. $\frac{{\wedge }_m}{{\wedge }_m^{\circ }}$
2. $\frac{{\wedge }_m^{\circ }}{{\wedge }_m}$
3. ${\wedge }_m-{\wedge }_m^{\circ }$
4. $\sqrt{{\wedge }_m}-\sqrt{{\wedge }_m^{\circ }}$

Q. Molar conductivities at infinite dilution of $KCl,HCl$ and $C{H}_{3}COOK$ are $0.013,0.038$ and $0.009S{m}^{2}mo{l}^{-1}$ respectively at $291K$. If the conductivity of $0.001MC{H}_{3}COOH$ is $2.72\times {10}^{-3}S{m}^{-1}$. Find the degree of ionization of $C{H}_{3}COOH.$