The elements of the 3d transition series are given as: Sc, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zn. Answer the following:
Copper has an exceptionally positive \( E^\circ_{\text{M}^{2+}/\text{M}} \) value, why?
Copper exhibits a highly positive standard electrode potential for the half-cell reaction:
\( E^\circ_{\text{Cu}^{2+}/\text{Cu}} \)
This is due to its unique electronic configuration:
\( \text{Cu}: [\text{Ar}]\,3d^{10}\,4s^1 \)
When copper oxidizes from \( \text{Cu} \) to \( \text{Cu}^{2+} \), it loses two electrons. However, this process is less favorable because:
As a result, the half-cell potential:
\( E^\circ_{\text{Cu}^{2+}/\text{Cu}} \)
is highly positive, reflecting copper’s low reactivity and high resistance to oxidation. This stability of the copper ion leads to a greater tendency for the reduction reaction (rather than oxidation), which is why the standard electrode potential is significantly positive.

In the above diagram, the standard electrode potentials are given in volts (over the arrow). The value of \( E^\circ_{\text{FeO}_4^{2-}/\text{Fe}^{2+}} \) is:
Consider the following electrochemical cell at standard condition. $$ \text{Au(s) | QH}_2\text{ | QH}_X(0.01 M) \, \text{| Ag(1M) | Ag(s) } \, E_{\text{cell}} = +0.4V $$ The couple QH/Q represents quinhydrone electrode, the half cell reaction is given below: $$ \text{QH}_2 \rightarrow \text{Q} + 2e^- + 2H^+ \, E^\circ_{\text{QH}/\text{Q}} = +0.7V $$
Assertion (A): Cu cannot liberate \( H_2 \) on reaction with dilute mineral acids.
Reason (R): Cu has positive electrode potential.
Match the Following
| List-I (Use) | Item | Matches with | List-II (Substance) |
|---|---|---|---|
| A | Electrodes in batteries | II | Polyacetylene |
| B | Welding of metals | III | Oxyacetylene |
| C | Toys | I | Polypropylene |
A battery of emf \( E \) and internal resistance \( r \) is connected to a rheostat. When a current of 2A is drawn from the battery, the potential difference across the rheostat is 5V. The potential difference becomes 4V when a current of 4A is drawn from the battery. Calculate the value of \( E \) and \( r \).
If \(\begin{vmatrix} 2x & 3 \\ x & -8 \\ \end{vmatrix} = 0\), then the value of \(x\) is:
Rupal, Shanu and Trisha were partners in a firm sharing profits and losses in the ratio of 4:3:1. Their Balance Sheet as at 31st March, 2024 was as follows: 
(i) Trisha's share of profit was entirely taken by Shanu.
(ii) Fixed assets were found to be undervalued by Rs 2,40,000.
(iii) Stock was revalued at Rs 2,00,000.
(iv) Goodwill of the firm was valued at Rs 8,00,000 on Trisha's retirement.
(v) The total capital of the new firm was fixed at Rs 16,00,000 which was adjusted according to the new profit sharing ratio of the partners. For this necessary cash was paid off or brought in by the partners as the case may be.
Prepare Revaluation Account and Partners' Capital Accounts.