To understand the catalytic action of Iron (III) in the reaction between iodide and persulphate ions, let's analyze the roles of Iron (III) \((\text{Fe}^{3+})\) and Iron (II) \((\text{Fe}^{2+})\) in this process:
Through these steps, Iron (III) catalyzes the reaction between iodide and persulphate ions by alternating between its oxidized and reduced states, thus:
Therefore, the most appropriate options are "A and D only," as Iron (III) initially oxidizes iodide ions and then the Iron (II) formed reduces the persulphate ions.
The given question involves the reaction mechanisms of iodide (\( \text{I}^- \)) and persulphate (\( \text{S}_2\text{O}_8^{2-} \)) ions in the presence of the catalyst iron (III) ions (\( \text{Fe}^{3+} \)). Let's analyze this step by step:
\(2\text{Fe}^{3+} + 2\text{I}^- \rightarrow 2\text{Fe}^{2+} + \text{I}_2\)
\(2\text{Fe}^{2+} + \text{S}_2\text{O}_8^{2-} \rightarrow 2\text{Fe}^{3+} + 2\text{SO}_4^{2-}\)
Thus, the catalytic cycle involves the continuous regeneration of \(\text{Fe}^{3+}\) ions, thereby accelerating the rate of reaction between iodide and persulphate ions.
The equivalent resistance between the points \(A\) and \(B\) in the given circuit is \[ \frac{x}{5}\,\Omega. \] Find the value of \(x\). 
Method used for separation of mixture of products (B and C) obtained in the following reaction is: 
In the following \(p\text{–}V\) diagram, the equation of state along the curved path is given by \[ (V-2)^2 = 4ap, \] where \(a\) is a constant. The total work done in the closed path is: 
Let \( ABC \) be a triangle. Consider four points \( p_1, p_2, p_3, p_4 \) on the side \( AB \), five points \( p_5, p_6, p_7, p_8, p_9 \) on the side \( BC \), and four points \( p_{10}, p_{11}, p_{12}, p_{13} \) on the side \( AC \). None of these points is a vertex of the triangle \( ABC \). Then the total number of pentagons that can be formed by taking all the vertices from the points \( p_1, p_2, \ldots, p_{13} \) is ___________.