Which of the following would be expected to have the largest antropy per mole

Options

A. `SO_(2)Cl_(2)(s)`
B. `SO_(2)Cl_(2)(g)`
C. `SO_(2)Cl_(2)(l)`
D. `SO_(2)(g)`

Explanation

To determine which substance has the largest entropy per mole, we can follow these steps:

### Step 1: Understand the Concept of Entropy
Entropy is a measure of the disorder or randomness of a system. Generally, the entropy increases in the following order:
- Solids < Liquids < Gases

### Step 2: Identify the Substances
The substances given in the question are:
- SO2Cl2 (sulfuryl chloride)
- SO2 (sulfur dioxide)

### Step 3: Determine the Physical States
- **SO2Cl2**: This compound can exist in solid and liquid states, but we will consider its gaseous state for comparison.
- **SO2**: This compound is typically found in the gaseous state.

### Step 4: Compare the Entropy of Different States
- For solids, the entropy is the lowest due to their fixed structure.
- Liquids have higher entropy than solids because their molecules can move more freely.
- Gases have the highest entropy because their molecules are far apart and can move freely in all directions.

### Step 5: Compare the Gases
Now, we need to compare the gaseous states of SO2Cl2 and SO2:
- **Molecular Weight**: SO2Cl2 is heavier than SO2. Generally, lighter gases have higher entropy because they can move more freely and have more microstates available.
- Therefore, SO2, being the lighter gas, will have a higher entropy than SO2Cl2.

### Conclusion
Among the given options, SO2 (sulfur dioxide) would be expected to have the largest entropy per mole.

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