Place the following systems in order of increasing randomnes:
a. `1mol` of a gas `X` b. `1mol` of a solid `X`
c. `1 mol` of a liquid `X`

Explanation

To determine the order of increasing randomness among the given systems (1 mol of gas X, 1 mol of solid X, and 1 mol of liquid X), we need to consider the states of matter and their characteristics in terms of molecular movement and arrangement.

### Step-by-step Solution:

1. **Understanding States of Matter**:
- Solids have a fixed shape and volume. The particles in a solid are closely packed together and can only vibrate in place, leading to very limited movement.
- Liquids have a definite volume but take the shape of their container. The particles in a liquid are less tightly packed than in a solid and can move around each other, allowing for more randomness.
- Gases have neither a fixed shape nor a fixed volume. The particles in a gas are far apart and move freely and rapidly, resulting in the highest level of randomness.
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