Molecular hydrogen is produced as a byproduct in the industrial production of NaOH by electrolysis of aq \(NaCl\) solution
\(NaCl → Na^+ + Cl^–\)
\(H_2O ⇌ H^+ + OH^-\)
Cathode : \(2H_2O + 2e → H_2 + 2OH^–\)
Anode : \(2Cl^– → Cl_2 +2e\)
\(NaOH\) is crystallised from the remaining part of electrolyte.
For the separation of two immiscible liquids, which method is used?
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 ___________.