Water is absorbed alongwith mineral solutes by the root hairs, purely by diffusion.
(here please note that osmosis is also a special type of diffusion).

Answer

### Step-by-Step Solution:

1. **Understanding the Statement**: The statement claims that water is absorbed along with mineral solutes by root hairs purely by diffusion. We need to analyze this statement to determine its truthfulness.

2. **Defining Key Terms**:
- **Diffusion**: This is the process where molecules move from an area of higher concentration to an area of lower concentration. It does not require energy.
- **Osmosis**: A special type of diffusion that specifically refers to the movement of water across a semi-permeable membrane. It also occurs from a region of higher water concentration to a region of lower water concentration.

3. **Role of Root Hairs**: Root hairs are extensions of root cells that increase the surface area for absorption. They are in direct contact with the soil solution, which contains water and dissolved minerals.

4. **Absorption Process**:
- Water in the soil is typically at a higher concentration than the water inside the root hairs. Therefore, water moves into the root hairs through diffusion.
- Along with water, mineral solutes (like nitrates, phosphates, etc.) are also absorbed. These minerals often move into the root hairs through diffusion as well, as they are usually present in higher concentrations in the soil compared to the inside of the root hairs.

5. **Conclusion**: Since both water and mineral solutes are absorbed by root hairs through the process of diffusion, the statement is true. It is important to note that osmosis is a type of diffusion specifically for water, and it occurs through a semi-permeable membrane.

### Final Answer:
The statement "Water is absorbed along with mineral solutes by the root hairs purely by diffusion" is **True**.

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