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Which has the least entropy :...

Which has the least entropy :

A

Graphite

B

Diamond

C

`N_(2)(g)`

D

`N_(2)O(g)`

Text Solution

AI Generated Solution

The correct Answer is:
To determine which substance has the least entropy among the given options, we need to analyze the molecular structure and the degree of randomness of each substance. ### Step-by-Step Solution: 1. **Understanding Entropy**: - Entropy (S) is a measure of the degree of randomness or disorder in a system. The higher the entropy, the more disordered the system is. 2. **Analyzing the Options**: - **Option A: Graphite**: - Graphite has a layered structure where the layers are held together by weak van der Waals forces. This allows the layers to slide over each other, leading to a moderate degree of randomness. - **Option B: Diamond**: - Diamond has a tetrahedral arrangement of carbon atoms with strong covalent bonds. The atoms are rigidly fixed in place, resulting in very low molecular movement and thus very low entropy. - **Option C: Nitrogen (N2)**: - Nitrogen is a diatomic gas with relatively weak intermolecular forces. Gases generally have high entropy due to the freedom of movement of their molecules. - **Option D: Nitrous Oxide (N2O)**: - N2O is also a gas and, like nitrogen, has weak intermolecular forces, contributing to a high degree of randomness. 3. **Comparing Entropy**: - Among the four options, diamond has the strongest intermolecular forces and the least molecular movement, which leads to the least randomness or entropy. - Graphite, while having some degree of order, allows for more movement than diamond, thus having higher entropy. - Both nitrogen and nitrous oxide, being gases, have significantly higher entropy due to the freedom of movement of their molecules. 4. **Conclusion**: - Therefore, the substance with the least entropy is **Option B: Diamond**. ### Final Answer: **Option B: Diamond has the least entropy.**

To determine which substance has the least entropy among the given options, we need to analyze the molecular structure and the degree of randomness of each substance. ### Step-by-Step Solution: 1. **Understanding Entropy**: - Entropy (S) is a measure of the degree of randomness or disorder in a system. The higher the entropy, the more disordered the system is. 2. **Analyzing the Options**: ...
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