In qualitative analysis, dichromate ions (Cr2O72–) are commonly used as oxidizing agents. Reduction of these ions often results in a color change, which can help identify the reducing species.
Step 1: Reaction Involved
When \(\text{SO}_3^{2-}\) reacts with dilute \(\text{H}_2\text{SO}_4\), \(\text{SO}_2\) gas is evolved. The \(\text{SO}_2\) gas reduces the dichromate ion (\(\text{Cr}_2\text{O}_7^{2-}\)) to \(\text{Cr}^{3+}\), which is green in color. The reaction is as follows:
\[\text{Cr}_2\text{O}_7^{2-} + \text{SO}_3^{2-} + \text{H}^+ \rightarrow \text{Cr}^{3+} + \text{SO}_4^{2-}.\]
Step 2: Color Change
- Dichromate ion (\(\text{Cr}_2\text{O}_7^{2-}\)) is orange in color.
- After reduction, \(\text{Cr}^{3+}\) ions form, which are green in color.
Conclusion: The solution turns green due to the formation of \(\text{Cr}^{3+}\). Therefore, the correct answer is \((3)\) Green.
A substance 'X' (1.5 g) dissolved in 150 g of a solvent 'Y' (molar mass = 300 g mol$^{-1}$) led to an elevation of the boiling point by 0.5 K. The relative lowering in the vapour pressure of the solvent 'Y' is $____________ \(\times 10^{-2}\). (nearest integer)
[Given : $K_{b}$ of the solvent = 5.0 K kg mol$^{-1}$]
Assume the solution to be dilute and no association or dissociation of X takes place in solution.
Inductance of a coil with \(10^4\) turns is \(10\,\text{mH}\) and it is connected to a DC source of \(10\,\text{V}\) with internal resistance \(10\,\Omega\). The energy density in the inductor when the current reaches \( \left(\frac{1}{e}\right) \) of its maximum value is \[ \alpha \pi \times \frac{1}{e^2}\ \text{J m}^{-3}. \] The value of \( \alpha \) is _________.
\[ (\mu_0 = 4\pi \times 10^{-7}\ \text{TmA}^{-1}) \]