One mole of which of the following has the highest entropy

Options

A. Mercury
B. Diamond
C. Liquid nitrogen
D. Hydrogen gas

Explanation

To determine which of the given substances has the highest entropy, we need to analyze the state of each substance and understand the concept of entropy.

### Step-by-Step Solution:

1. **Identify the States of Matter**:
- Mercury (Hg) is in the liquid state.
- Diamond (C) is in the solid state.
- Liquid nitrogen (N₂) is in the liquid state.
- Hydrogen (H₂) is in the gaseous state.

2. **Understand Entropy**:
- Entropy is a measure of the randomness or disorder of a system. The more disordered or random the arrangement of particles, the higher the entropy.
- The general order of entropy from lowest to highest is: solid < liquid < gas.

3. **Compare the Substances**:
- **Mercury (Liquid)**: As a liquid, it has more entropy than a solid but less than a gas.
- **Diamond (Solid)**: Being a solid, it has the lowest entropy among the options.
- **Liquid Nitrogen (Liquid)**: Similar to mercury, it has more entropy than diamond but less than hydrogen gas.
- **Hydrogen (Gas)**: As a gas, it has the highest entropy because gas particles are far apart and move freely, leading to greater disorder.

4. **Conclusion**:
- Among the given substances, hydrogen gas has the highest entropy due to its gaseous state, which allows for the greatest randomness of particle arrangement.

### Final Answer:
One mole of hydrogen gas (H₂) has the highest entropy.