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      • The reason is that the entropy S of a system, like internal energy U depends only on the state of the system and not how it reached that condition. Entropy is a property of state. Thus the change in entropy ΔS of a system between state 1 and state 2 is the same no matter how the change occurs.
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  2. Entropy is a property of state. Thus the change in entropy \(\Delta S\) of a system between state 1 and state 2 is the same no matter how the change occurs. We just need to find or imagine a reversible process that takes us from state 1 to state 2 and calculate \(\Delta S\) for that process.

  3. As with any other state function, the change in entropy is defined as the difference between the entropies of the final and initial states: ΔS = S f − S i. When a gas expands into a vacuum, its entropy increases because the increased volume allows for greater atomic or molecular disorder.

  4. The reason is that the entropy s s of a system, like internal energy E int E int, depends only on the state of the system and not how it reached that condition. Entropy is a property of state. Thus the change in entropy Δ S Δ S of a system between state 1 and state 2 is the same no matter how the change occurs.

  5. The Second Law of Thermodynamics states that the state of entropy of the entire universe, as an isolated system, will always increase over time. The second law also states that the changes in the entropy in the universe can never be negative.

  6. When a system goes from state 1 to state 2, its entropy changes by the same amount ΔS Δ S, whether a hypothetical reversible path is followed or a real irreversible path is taken. Now let us take a look at the change in entropy of a Carnot engine and its heat reservoirs for one full cycle.

  7. The reason is that the entropy S of a system, like internal energy U, depends only on the state of the system and not how it reached that condition. Entropy is a property of state. Thus the change in entropy ΔS of a system between state one and state two is the same no matter how the change occurs.

  8. When a system goes from state 1 to state 2, its entropy changes by the same amount Δ S, whether a hypothetical reversible path is followed or a real irreversible path is taken. Now let us take a look at the change in entropy of a Carnot engine and its heat reservoirs for one full cycle.

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