\( \text{IO}_2^- \)
Step 1: Identify the oxidizing and reducing agents
In this redox reaction: - \( \text{MnO}_4^- \) (permanganate ion) acts as the \textit{oxidizing agent} (it gets reduced). - \( \text{I}^- \) (iodide ion) acts as the \textit{reducing agent} (it gets oxidized).
Step 2: Understand the medium and expected products
The products of redox reactions involving permanganate ion depend on the reaction medium: - In acidic medium: \( \text{MnO}_4^- \rightarrow \text{Mn}^{2+} \) - In basic medium: \( \text{MnO}_4^- \rightarrow \text{MnO}_4^{2-} \) - In neutral medium: \( \text{MnO}_4^- \rightarrow \text{MnO}_2 \) So, since this is a neutral medium, permanganate will be reduced to \( \text{MnO}_2 \).
Step 3: Oxidation of iodide ion \( \text{I}^- \)
The iodide ion is oxidized to iodate ion \( \text{IO}_3^- \) in a neutral medium. This is a known redox behavior under these conditions.
Step 4: Balanced redox reaction
The balanced reaction is: \[ 2 \text{MnO}_4^- + \text{I}^- + \text{H}_2\text{O} \rightarrow 2 \text{MnO}_2 + \text{IO}_3^- + 2 \text{OH}^- \] This confirms that one of the products is \( \text{IO}_3^- \), the iodate ion.
Final Answer: \( \boxed{\text{IO}_3^-} \)
200 cc of $x \times 10^{-3}$ M potassium dichromate is required to oxidise 750 cc of 0.6 M Mohr's salt solution in acidic medium. Here x = ______ .

Let $ P(x_1, y_1) $ and $ Q(x_2, y_2) $ be two distinct points on the ellipse $$ \frac{x^2}{9} + \frac{y^2}{4} = 1 $$ such that $ y_1 > 0 $, and $ y_2 > 0 $. Let $ C $ denote the circle $ x^2 + y^2 = 9 $, and $ M $ be the point $ (3, 0) $. Suppose the line $ x = x_1 $ intersects $ C $ at $ R $, and the line $ x = x_2 $ intersects $ C $ at $ S $, such that the $ y $-coordinates of $ R $ and $ S $ are positive. Let $ \angle ROM = \frac{\pi}{6} $ and $ \angle SOM = \frac{\pi}{3} $, where $ O $ denotes the origin $ (0, 0) $. Let $ |XY| $ denote the length of the line segment $ XY $. Then which of the following statements is (are) TRUE?