Entropy of a contained ideal gas mixture

In summary, entropy of a contained ideal gas mixture is a measure of the disorder or randomness of the gas molecules within the mixture and can be calculated using the formula S = k<sub>B</sub>lnΩ. It is affected by temperature, volume, and number of molecules in the system, with an increase in any of these factors resulting in an increase in entropy. The second law of thermodynamics states that the total entropy of a closed system always increases over time, meaning that the natural tendency of a contained ideal gas mixture is to become more disordered. However, entropy can be decreased by lowering the temperature and/or volume of the system.
  • #1
Airsteve0
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If an ideal gas mixture is heated inside of a container which does not expand then does the entropy increase? Outside the container I know it would but inside the container the gases can't really become more disordered.
 
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  • #2
But particle speeds are higher, so there are more possible speeds that any particular particle can assume. Heating thus provides more possible microstates.

Heating a system always increases its entropy.
 
  • #3
thank you for the clarification!
 

FAQ: Entropy of a contained ideal gas mixture

What is entropy of a contained ideal gas mixture?

Entropy of a contained ideal gas mixture is a measure of the disorder or randomness of the gas molecules within the mixture. It is a thermodynamic property that describes the distribution of energy in a system.

How is entropy of a contained ideal gas mixture calculated?

The entropy of a contained ideal gas mixture can be calculated using the formula S = kBlnΩ, where S is the entropy, kB is the Boltzmann constant, and Ω is the number of microstates or possible arrangements of the gas molecules.

What factors affect the entropy of a contained ideal gas mixture?

The entropy of a contained ideal gas mixture is affected by temperature, volume, and number of molecules in the system. An increase in any of these factors will result in an increase in entropy.

How does entropy relate to the second law of thermodynamics?

The second law of thermodynamics states that the total entropy of a closed system always increases over time. This means that the natural tendency of a contained ideal gas mixture is to become more disordered or have a higher entropy over time.

Can entropy of a contained ideal gas mixture be decreased?

Yes, entropy of a contained ideal gas mixture can be decreased by lowering the temperature and/or volume of the system. This will reduce the number of microstates and result in a lower entropy value.

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