\(2MnO^-_4−+6H^++5H_2O_2 → 2Mn^{2+}+8H_2O+5O_2\)
This reaction shows reducing action of \(H_2O_2\) in acidic medium.
The products formed are \(Mn^{2+}\), \(H_2O\) and \(O_2\).
Which one of the following graphs accurately represents the plot of partial pressure of CS₂ vs its mole fraction in a mixture of acetone and CS₂ at constant temperature?

Let \( \alpha = \dfrac{-1 + i\sqrt{3}}{2} \) and \( \beta = \dfrac{-1 - i\sqrt{3}}{2} \), where \( i = \sqrt{-1} \). If
\[ (7 - 7\alpha + 9\beta)^{20} + (9 + 7\alpha - 7\beta)^{20} + (-7 + 9\alpha + 7\beta)^{20} + (14 + 7\alpha + 7\beta)^{20} = m^{10}, \] then the value of \( m \) is ___________.
Hydrogen peroxide is a chemical element including hydrogen and oxygen. Anhydrous hydrogen peroxide is a colorless, sugary liquid that breaks down quickly into oxygen and water. The chemical formula for hydrogen peroxide [H2O2] is H—O—O—H, here, each dash represents a single covalent link. Especially, each bond has a pair of mutual electrons, one from each of the atoms at the bond’s ends. The polar bonds are H—O bonds, but this is not the polar one - O—O bonds.