The Molar conductivity of $$0.05 \mathrm{M}$$ solution of $$\mathrm{MgCl}_2$$ is $$194.5 \mathrm{~ohm}^{-1} \mathrm{~cm}^2$$ per mole at room temperature. A Conductivity cell with electrodes having $$3.0 \mathrm{~cm}^2$$ surface area and $$1.0 \mathrm{~cm}$$ apart is filled with the solution of $$\mathrm{MgCl}_2$$. What would be the resistance offered by the conductivity cell?
If electrolysis of water is carried out for a time duration of 2 hours, how much electric current in amperes would be required to liberate $$100 \mathrm{~ml}$$ of $$\mathrm{O}_2$$ gas measured under standard conditions of temperature and pressure?
Match the items in Column I with their description in Column II
| S.No. | Column I | S.No. | Column II |
|---|---|---|---|
| A | Kappa K | P | Intensive property. |
| B | $$\mathrm{E_{cell}^0}$$ | Q | Extensive property. |
| C | Molar conductivity | R | Decreases with decrease in concentration of both strong and weak electrolytes. |
| D | $$\mathrm{\Delta G_{cell}}$$ | S | Increases with dilution. |
When Lead Storage battery is in the process of getting charged which one of the following reactions takes place?