When $Cu ^{2+}$ ion is treated with $KI$, a white precipitate, $X$ appears in solution The solution is titrated with sodium thiosulphate, the compound $Y$ is formed $X$ and $Y$ respectively are
When \( \text{Cu}^{2+} \) reacts with KI, the following reactions occur:
\[ \text{Cu}^{2+} + 2\text{KI} \rightarrow \text{CuI}_2 \downarrow + 2K^+ \]
\[ \text{CuI}_2 \text{(White)} \xrightarrow{\text{Na}_2\text{S}_2\text{O}_3} \text{CuI} + \text{Na}_2\text{S}_4\text{O}_6 \]
Thus, the white precipitate \( X = \text{CuI}_2 \) and the compound formed is \( Y = \text{Na}_2\text{S}_4\text{O}_6 \).
The reaction with sodium thiosulfate (\( \text{Na}_2\text{S}_2\text{O}_3 \)) helps dissolve the precipitate and form a soluble complex, converting copper(I) into copper(I) iodide.
This results in the formation of a colorless solution, making the reaction useful in quantitative analysis and complexation studies.
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 ___________.
Consider the following two reactions A and B: 
The numerical value of [molar mass of $x$ + molar mass of $y$] is ___.