A nucleophile is a species that donates an electron pair to form a chemical bond in a reaction. The given species that can act as nucleophiles are: 1. NH3 (Ammonia)
2. PhSH (Phenyl thiol)
3. \({(H}_3{C}_2{S})_2\) (Dimethyl disulfide)
4. \({OH}^-\) (Hydroxide ion)
5. \({H}_3{O}^+\) (Hydronium ion)
6. \({NCH}_3\) (Methylamine) Thus, there are 6 nucleophiles in total.
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 ___________.