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**IDEAL AND NON IDEAL SOLUTIONS**

As we know **Raoultâ€™s Law** states that mole fraction of the solute component is directly proportional to its partial pressure.

On the basis of Raoultâ€™s Law, liquid-liquid solutions are classified into two types of solutions, they are:

â€¢ Ideal Solutions

â€¢ Non-ideal Solutions**Ideal Solutions**

- The solutions which obey Raoultâ€™s Law at every range of concentration and at all temperatures are called Ideal Solutions.
- We can obtain ideal solutions by mixing two ideal components that is, solute and a solvent having similar molecular size and structure.
**Example:**consider two liquids A and B, and mix them. The formed solution will experience several intermolecular forces of attractions inside it, which will be:

â€¢ A â€“ A intermolecular forces of attraction

â€¢ B â€“ B intermolecular forces of attraction

â€¢ A â€“ B intermolecular forces of attraction- The solution is said to be an ideal solution, only when the intermolecular forces of attraction between A â€“ A, B â€“ B and A â€“ B are nearly equal.

- They follow Raoultâ€™s Law, which means partial pressure of components A and B in a solution will be P
_{A}= P_{A}^{0}x_{A}and P_{B}= P_{B}^{0}x_{B}where P_{A}^{0}and P_{B}^{0}are respective vapour pressure in pure form and x_{A}and x_{B}are respective mole fractions of components A and B - The enthalpy of mixing of two components should be zero, that is, Î”
_{mix}H = 0. This signifies that no heat is released or absorbed during mixing of two pure components to form ideal solution - The volume of mixing of two components should be zero that is, Î”
_{mix}V = 0. This means that total volume of solution is equal to the sum of the volume of solute and solution. Adding further, it also signifies that there is no occurrence of contraction or expansion of volume while mixing of two components - The solute-solute interaction and solvent-solvent interaction is nearly equal to solute-solvent interaction

**Note: **Perfectly ideal solutions are rare in nature, only some solutions show some ideal behavior.

**Examples of Ideal Solutions**

- n-hexane and n-heptane
- Bromoethane and Chloroethane
- Benzene and Toluene
- CCl
_{4}and SiCl_{4} - Chlorobenzene and Bromobenzene
- Ethyl Bromide and Ethyl Iodide
- n-Butyl Chloride and n-Butyl Bromide

**Non-Ideal Solutions**

The solutions which donâ€™t obey Raoultâ€™s law at every range of concentration and at all temperatures are called Non-Ideal Solutions. Non-ideal solutions deviate from ideal solutions and are also known as Non-Ideal Solutions.

**Image 1: Types of Non Ideal Solutions**

**Non-ideal solutions depict characteristics as follows:**

- The solute-solute and solvent-solvent interaction is different from that of solute-solvent interaction
- The enthalpy of mixing that is, Î”mix H â‰ 0, which means that heat might have released if enthalpy of mixing is negative (Î”mix H < 0) or the heat might have observed if enthalpy of mixing is positive (Î”mix H > 0)
- The volume of mixing that is, Î”mix V â‰ 0, which depicts that there will be some expansion or contraction in dissolution of liquids

**Non-ideal solutions are of two types:**

- Non-ideal solutions showing positive deviation from Raoultâ€™s Law
- Non-ideal solutions showing negative deviation from Raoultâ€™s Law

**Positive Deviation from Raoultâ€™s Law**

Positive Deviation from Raoultâ€™s Law occurs when the vapour pressure of component is greater than what is expected in Raoultâ€™s Law.**Example:** consider two components A and B to form non-ideal solutions.

Let the vapour pressure, pure vapour pressure and mole fraction of component A be P_{A} , P_{A}^{0} and x_{A} respectively and that of component B be P_{B} , P_{B}^{0} and x_{B} respectively.

**These liquids will show positive deviation when Raoultâ€™s Law when**

- P
_{A}> P_{A}^{0}x_{A}and P_{B}> P^{0}_{B}x_{B}, as the total vapour pressure (P_{A}^{0}x_{A}+ P^{0}_{B}x_{B}) is greater than what it should be according to Raoultâ€™s Law. - The solute-solvent forces of attraction is weaker than solute-solute and solvent-solvent interaction that is, A â€“ B < A â€“ A or B â€“ B
- The enthalpy of mixing is positive that is, Î”
_{mix}H > 0 because the heat absorbed to form new molecular interaction is less than the heat released on breaking of original molecular interaction - The volume of mixing is positive that is, Î”
_{mix}V > 0 as the volume expands on dissolution of components A and B

**Image 3: Graph between vapourpressure and mole fraction showingpositive deviation**

**Examples: **Following are examples of solutions showing positive deviation from Raoultâ€™s Law

- Acetone and Carbon disulphide
- Acetone and Benzene
- Carbon Tetrachloride and Toluene or Chloroform
- Methyl Alcohol and Water
- Acetone and Ethanol
- Ethanol and Water

**NEGATIVE DEVIATION FROM RAOULTâ€™S LAW**

Negative Deviation occurs when the total vapour pressure is less than what it should be according to Raoultâ€™s Law. Considering the same A and B components to form a non-ideal solution, it will show negative deviation from Raoultâ€™s Law only when:

- P
_{A}< P_{A}^{0}x_{A}and P_{B}< P^{0}_{B}x_{B}as the total vapour pressure (P_{A}^{0}x_{A}+ P^{0}_{B}x_{B}) is less than what it should be with respect to Raoultâ€™s Law - The solute-solvent interaction is stronger than solute-solute and solvent-solvent interaction that is, A â€“ B > A â€“ A or B â€“ B
- The enthalpy of mixing is negative that is, Î”
_{mix}H < 0 because more heat is released when new molecular interactions are formed - The volume of mixing is negative that is, Î”
_{mix}V < 0 as the volume decreases on dissolution of components A and B

**Examples: **Following are examples of solutions showing negative deviation from Raoultâ€™s Law

- Chloroform and Benzene
- Chloroform and Diether
- Acetone and Aniline
- Nitric Acid ( HNO3) and water
- Acetic Acid and pyridine
- Hydrochloric Acid ( HCl) and water
**Image 5: Graph between vapour pressure and mole fraction**

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