In the titration of potassium permanganate (KMnO4) and oxalic acid (H2C2O4) in an acidic medium, the oxidation number of carbon in oxalic acid changes. Initially, the oxidation state of carbon in oxalic acid is +3. During the reaction, oxalic acid is oxidized to carbon dioxide (CO2), where carbon has an oxidation number of +4. This represents an increase in the oxidation number by 1. Therefore, the change in the oxidation number of carbon at the endpoint of the titration is +1. The computed change, +1, falls within the specified range of 1,1, confirming the solution is correct.
\(16H^++2MnO^-_4+5C_2O^{2-}_4→10CO_2+2Mn_{2+}+8H_2O\)
During titration of oxalic acid by KMnO4, oxalic acid converts into CO2.
∴ Change in oxidation state of carbon = 1
Consider the following compound (X):
The most stable and least stable carbon radicals, respectively, produced by homolytic cleavage of corresponding C - H bond are:

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 _________.
\[ (\mu_0 = 4\pi \times 10^{-7}\ \text{TmA}^{-1}) \]
Hydrocarbons are organic compounds that are entirely made up of only two kinds of atoms – carbon and hydrogen. Typically, hydrocarbons are colourless gases that have very weak odours.
According to experimental evidences, SE (S = substitution; E = electrophilic) reactions are supposed to proceed via the following three steps: