LIST-I (Cell) | LIST-II (Use/Property/Reaction) |
---|---|
A. Leclanche cell | IV. Reaction at anode Zn → Zn2+ + 2e- |
B. Ni-Cd cell | III. Rechargeable |
C. Fuel cell | I. Converts energy of combustion into electrical energy |
D. Mercury cell | II. Does not involve any ion in solution and is used in hearing aids |
A. Leclanche Cell: This is a primary cell where the reaction at the anode is: \[ \text{Zn} \rightarrow \text{Zn}^{2+} + 2e^- \] Thus, it matches IV.
B. Ni-Cd Cell: The nickel-cadmium cell is a rechargeable secondary cell commonly used in portable devices. Thus, it matches III.
C. Fuel Cell: Fuel cells convert the energy of combustion (e.g., hydrogen and oxygen) into electrical energy. Thus, it matches I.
D. Mercury Cell: Mercury cells are small, primary cells commonly used in hearing aids, and they do not involve any ion in solution.Thus, it matches II.
Final Match: A-IV, B-III, C-I, D-II.
If the molar conductivity ($\Lambda_m$) of a 0.050 mol $L^{–1}$ solution of a monobasic weak acid is 90 S $cm^{2} mol^{–1}$, its extent (degree) of dissociation will be:
[Assume: $\Lambda^0$ = 349.6 S $cm^{2} mol^{–1}$ and $\Lambda^0_{\text{acid}}$ = 50.4 S$ cm^{2} mol^{–1}$]
Let \( S = \left\{ m \in \mathbb{Z} : A^m + A^m = 3I - A^{-6} \right\} \), where
\[ A = \begin{bmatrix} 2 & -1 \\ 1 & 0 \end{bmatrix} \]Then \( n(S) \) is equal to ______.