A: `CuSO_4 5H_2O` is a solution of liquid in solid.
R: Solution is a homogeneous mixture.

Answer

To analyze the given assertion and reason, we will break down the components step by step.

### Step 1: Understand the Assertion
The assertion states that `CuSO4·5H2O` is a solution of liquid in solid.

- **Explanation**: `CuSO4·5H2O` is known as copper(II) sulfate pentahydrate. In this compound, `CuSO4` is a solid (a powdery substance), and `5H2O` represents five water molecules associated with each formula unit of copper sulfate. This means that the water is incorporated into the solid structure, making it a solid with liquid water of hydration.

### Step 2: Analyze the Nature of the Mixture
The assertion claims that it is a solution of liquid in solid.

- **Explanation**: In this case, the water molecules are not free liquid but are part of the solid crystal structure. Therefore, it is more accurate to say that `CuSO4·5H2O` is a solid that contains water molecules rather than a solution in the traditional sense (where a solute is dissolved in a solvent).

### Step 3: Understand the Reason
The reason states that a solution is a homogeneous mixture.

- **Explanation**: A solution is indeed a homogeneous mixture composed of two or more substances that are uniformly distributed in a single phase. This definition applies to true solutions, where one substance (the solute) is dissolved in another (the solvent).

### Step 4: Conclusion
Now, we need to determine if the assertion is correct and if the reason correctly explains the assertion.

- **Assertion**: While `CuSO4·5H2O` contains liquid water, it is not a solution in the traditional sense, as the water is not free but part of the solid structure.
- **Reason**: The reason is correct in stating that a solution is a homogeneous mixture, but it does not correctly explain the assertion about `CuSO4·5H2O`.

### Final Answer
- **Assertion (A)**: Incorrect (It is not a solution of liquid in solid in the traditional sense).
- **Reason (R)**: Correct (A solution is a homogeneous mixture).