To solve the given question, we need to match each technique listed in LIST I to its correct application in LIST II. Let's analyze each technique and their most common applications:
Now, let's match LIST I with LIST II correctly:
| List I (Technique) | List II (Application) |
|---|---|
| A. Distillation | IV. Chloroform-Aniline |
| B. Fractional Distillation | III. Separation of crude oil fractions |
| C. Steam Distillation | II. Aniline - Water mixture |
| D. Distillation under Reduced Pressure | I. Separation of glycerol from spent-lye |
Thus, the correct solution is: A-IV, B-III, C-II, D-I.
• A. Distillation is used for the chloroform - aniline (IV).This method lowers the boiling point of liquids by reducing pressure, allowing separation of heat-sensitive compounds without decomposition.
• B. Fractional distillation is utilized for the separation of crude oil fractions (III). It involves a fractionating column that separates various components of crude oil based on their differing boiling points.
• C. Steam distillation is effective for separating aniline - water mixtures (II). This technique uses steam to separate substances with high boiling points or compounds immiscible with water.
• D. Distillation under reduced pressure is applied for separation of glycerol from spent-lye (I). Distillation works by heating the mixture to evaporate the component with a lower boiling point and condensing it in a separate chamber, useful for separating components in solutions.
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 ___________.