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.
Brass alloy is made of which metals?
For \( \alpha, \beta, \gamma \in \mathbb{R} \), if \[ \lim_{x \to 0} \frac{x^2 \sin(\alpha x) + (\gamma - 1)e^{x^2}}{\sin(2x - \beta x)} = 3, \] then \( \beta + \gamma - \alpha \) is equal to: