Given Reactions:
Correct Answer: The correct answer is 3.
\[ \text{CH}_3\text{COONa} \longrightarrow \cdot \text{CH}_3 \]
\[ \text{C}_2\text{H}_5\text{COONa} \longrightarrow \cdot \text{C}_2\text{H}_5 \]
\[ 2 \cdot \text{C}_2\text{H}_5 \longrightarrow \text{CH}_3 - \text{CH}_2 - \text{CH}_2 - \text{CH}_3 \]
\[ 2 \cdot \text{CH}_3 \longrightarrow \text{CH}_3 - \text{CH}_3 \]
\[ \cdot \text{CH}_3 + \cdot \text{C}_2\text{H}_5 \longrightarrow \text{CH}_3 - \text{CH}_2 - \text{CH}_3 \]
Consider the following reaction sequence.

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 ___________.