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![Product [X] formed in the above reaction is:](https://images.collegedunia.com/public/qa/images/content/2024_03_05/2_17e3c26d1709624662980.jpg)
![Product [X] formed in the above reaction is:](https://images.collegedunia.com/public/qa/images/content/2024_03_05/3_cd890db61709624825638.jpg)
The alcohol reacts with \( \text{NaI} \) and \( \text{H}_3\text{PO}_4 \) to form the corresponding iodoalkane via a nucleophilic substitution reaction. In this process:
The reaction is as follows:
\[ \text{CH}_3-\text{CH}_2-\text{CH(OH)}-\text{CH}_3 \xrightarrow{\text{NaI, H}_3\text{PO}_4} \text{CH}_3-\text{CH}_2-\text{CH(I)}-\text{CH}_3 \]
The iodoalkane reacts with magnesium in dry ether to form a Grignard reagent:
\[ \text{CH}_3-\text{CH}_2-\text{CH(I)}-\text{CH}_3 \xrightarrow{\text{Mg, Dry Ether}} \text{CH}_3-\text{CH}_2-\text{CH(MgI)}-\text{CH}_3 \]
Here:
The Grignard reagent reacts with deuterated water (\( \text{D}_2\text{O} \)) to form the deuterated alkane. The \( \text{C-MgI} \) bond is replaced by a \( \text{C-D} \) bond:
\[ \text{CH}_3-\text{CH}_2-\text{CH(MgI)}-\text{CH}_3 \xrightarrow{\text{D}_2\text{O}} \text{CH}_3-\text{CH}_2-\text{CH(D)}-\text{CH}_3 \]
The product formed is \( \text{CH}_3-\text{CH}_2-\text{CH(D)}-\text{CH}_3 \).
Match the LIST-I with LIST-II: 
Choose the correct answer from the options given below:
CH$_3$–Br $\xrightarrow{\text{CH$_3$OH/Nu}}$ CH$_3$OH
Correct order of rate of this reaction for given nucleophile:

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 ___________.