Sum of \(\pi\)-bonds present in peroxodisulphuric acid and pyrosulphuric acid is___________
Count π-bonds in double bonds (C=O, S=O, etc.) while analyzing structures of acids.
• Peroxodisulphuric acid: Structure: \[ H - O - S(=O)_2 - O - O - S(=O)_2 - O - H \] Number of \(\pi\)-bonds = 4 (two in each \(\text{SO}_3\) group)
• Pyrosulphuric acid: Structure: \[ H - O - S(=O)_2 - O - S(=O)_2 - O - H \] Number of \(\pi\)-bonds = 4 (two in each \(\text{SO}_3\) group).
Total \(\pi\)-bonds = \(4 + 4 = 8\).
The number of oxygen atoms present in chemical formula of fuming sulphuric acid is _______.
Let \( y = f(x) \) be the solution of the differential equation
\[ \frac{dy}{dx} + 3y \tan^2 x + 3y = \sec^2 x \]
such that \( f(0) = \frac{e^3}{3} + 1 \), then \( f\left( \frac{\pi}{4} \right) \) is equal to:
Find the IUPAC name of the compound.
If \( \lim_{x \to 0} \left( \frac{\tan x}{x} \right)^{\frac{1}{x^2}} = p \), then \( 96 \ln p \) is: 32