Is Entropy Zero at Absolute Zero?

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In summary, the question is asking if the entropy of all molecules in the world at absolute zero will be zero since atoms are still vibrating. The first question is asking for a simple yes or no answer and an explanation. The second question is questioning how a perfect crystal can have zero entropy at absolute zero when it should still have some form of vibrational energy.
  • #1
Delzac
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Hi all,

first of all i would wish to take reference from this thread.

https://www.physicsforums.com/showthread.php?t=129153"

Can someone answer this qns...since atoms at absolute zero can still be vibrating, the entropy will be not zero for all molecules in this world at 0 K right?

Q 1. Pls ans simply, as in give a yes or no ans 1st, then explain, i am quite confused in this topic...:P

Any help will be appreciated!
 
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  • #2
Q2 .another qns, it is said that a perfect crystal will have zero entropy at 0 K, but shouldn't it have some form of vibrational energy in it(Zero-point energy), with a bit of motion, there should be more that one way to arrange the molecules...so how can it have zero entropy?
 
  • #3


Hi there,

To answer your question, yes, the entropy will not be zero for all molecules in the world at absolute zero temperature. This is because even at absolute zero, the atoms and molecules will still have some residual energy due to quantum effects. This residual energy can result in small vibrations or movements within the molecules, which contributes to the overall entropy of the system.

To explain further, entropy is a measure of the disorder or randomness in a system. At absolute zero, the molecules are in their lowest energy state and are not moving. However, due to quantum mechanical effects, the molecules can still have some residual energy and can vibrate or rotate slightly. This residual energy contributes to the overall disorder or randomness in the system, and therefore, the entropy is not zero.

I hope this helps to clarify your confusion. Let me know if you have any other questions.
 

Related to Is Entropy Zero at Absolute Zero?

1. What is residual entropy and how does it relate to thermodynamics?

Residual entropy, also known as configurational entropy, is a measure of the disorder or randomness in a system at a particular temperature. It is related to thermodynamics through the third law of thermodynamics, which states that the entropy of a perfect crystal at absolute zero temperature is zero. Residual entropy is also important in understanding phase transitions and the behavior of complex systems.

2. How is residual entropy calculated?

Residual entropy is calculated using statistical mechanics, specifically the Boltzmann equation. It involves calculating the number of possible arrangements or microstates that a system can have at a given temperature, and then using this number to determine the entropy of the system.

3. Can residual entropy be negative?

No, residual entropy cannot be negative. The third law of thermodynamics states that the entropy of a perfect crystal at absolute zero temperature is zero, so residual entropy cannot be less than zero.

4. How does residual entropy affect the properties of a system?

Residual entropy can affect the properties of a system in several ways. It can influence the stability and energy of different phases of a substance, as well as the behavior of complex systems such as polymers and glasses. It can also play a role in phase transitions and the formation of defects in crystals.

5. Can residual entropy be changed?

Yes, residual entropy can be changed by altering the temperature or the number of possible arrangements in a system. However, it cannot be completely eliminated as it is a fundamental property of a system at a given temperature.

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