
To determine the number of hydroxyl groups in the product \( P \) of the given reaction, we must analyze the reaction step-by-step.
Therefore, the total number of hydroxyl groups in the product \( P \) is 2, which falls within the given range of 0,0.
Product benzene has zero hydroxyl group. The reaction leads to formation of a substituted product without hydroxyl groups present.
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 ___________.