Which of the following is satisfied by an ideal solution ?

Options

A. Formation of an azeetropic mixture
B. `DeltaS_(mix)= 0`
C. Raoutl's law is obeyed under particlar set of conditions only
D. `DeltaH_(mix) = 0`

Answer

To determine which of the following statements is satisfied by an ideal solution, we need to analyze the properties of ideal solutions.

### Step-by-Step Solution:

1. **Understanding Ideal Solutions**:
An ideal solution is one that follows Raoult's Law at all concentrations. This means that the vapor pressure of each component in the solution is directly proportional to its mole fraction.

2. **Raoult's Law**:
For an ideal solution, Raoult's Law is always obeyed. This law states that the partial vapor pressure of each component in the solution is equal to the vapor pressure of the pure component multiplied by its mole fraction in the solution.

3. **Enthalpy of Mixing (ΔH mixing)**:
In an ideal solution, the enthalpy change upon mixing (ΔH mixing) is zero. This means that no heat is absorbed or released when the components are mixed.

4. **Volume Change upon Mixing (ΔV mixing)**:
For an ideal solution, the change in volume upon mixing (ΔV mixing) is also zero, indicating that the volume of the solution is equal to the sum of the volumes of the individual components.

5. **Entropy of Mixing (ΔS mixing)**:
The change in entropy upon mixing (ΔS mixing) is greater than zero for an ideal solution. This indicates an increase in disorder when the components are mixed.

6. **Gibbs Free Energy Change (ΔG mixing)**:
The change in Gibbs free energy upon mixing (ΔG mixing) is less than zero for an ideal solution, indicating that the mixing process is spontaneous.

7. **Evaluating Given Options**:
- **Option 1**: Formation of an azeotropic mixture - This is incorrect as ideal solutions do not form azeotropes.
- **Option 2**: ΔS mixing = 0 - This is incorrect; for ideal solutions, ΔS mixing is greater than 0.
- **Option 3**: Raoult's law is obeyed under particular conditions - This is incorrect; Raoult's law is always obeyed by ideal solutions.
- **Option 4**: ΔH mixing = 0 - This is correct; ideal solutions have no change in enthalpy upon mixing.

### Conclusion:
The only statement that is satisfied by an ideal solution is **ΔH mixing = 0**.