Let’s match each cell with its correct property:
- Fuel Cell (A): A fuel cell is a type of electrochemical cell that uses the reaction of hydrogen and oxygen to produce water and generate electrical energy. The reaction at the fuel cell is:
\[
\text{Cell reaction:} \quad 2 \text{H}_2 + \text{O}_2 \rightarrow 2 \text{H}_2\text{O}
\]
Fuel cells are non-rechargeable and operate continuously as long as fuel is supplied.
Therefore, the correct match is (A)-(III).
- Mercury Cell (B): A mercury cell is a primary cell, which provides a steady potential but is not rechargeable. The reaction at the anode in a mercury cell involves the oxidation of zinc:
\[
\text{Reaction at anode:} \quad \text{Zn} \rightarrow \text{Zn}^{2+} + 2e^-
\]
Thus, the correct match is (B)-(IV).
- Leclanché Cell (C): The Leclanché cell is a primary electrochemical cell and gives a steady potential, typically used for powering small devices.
Thus, the correct match is (C)-(II).
- Ni-Cd Cell (D): The Nickel-Cadmium (Ni-Cd) cell is a rechargeable secondary cell. This type of cell is typically used in applications requiring rechargeability.
Thus, the correct match is (D)-(I).
Summary:
The correct answer is Option (3):
- (A)-(III): Fuel cell produces electricity via the reaction \( 2\text{H}_2 + \text{O}_2 \rightarrow 2\text{H}_2\text{O} \).
- (B)-(IV): Mercury cell provides steady potential with the anode reaction \( \text{Zn} \rightarrow \text{Zn}^{2+} + 2e^- \).
- (C)-(II): Leclanché cell provides steady potential but is non-rechargeable.
- (D)-(I): Ni-Cd cell is rechargeable.