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Thermodynamics
Entropy
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Concept Version 11
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Living Systems and Evolution

It is possible for the entropy of one part of the universe to decrease, provided the total change in entropy of the universe increases.

Learning Objective

  • Formulate conditions that allow decrease of the entropy in one part of the universe


Key Points

    • Living organisms have evolved to be highly structured, and much lower in entropy than the substances from which they grow.
    • It possible for a system to decrease its entropy provided the total change in entropy of the universe increases: $\Delta S_{tot} = \Delta S_{sys} + \Delta S_{env} >0$ .
    • The Earth can be viewed as a heat engine operating between a hot reservoir supplied by the Sun and a cold reservoir supplied by dark outer space.

Term

  • entropy

    A measure of how evenly energy (or some analogous property) is distributed in a system.


Full Text

Some people misunderstand the second law of thermodynamics, stated in terms of entropy, to say that the process of the evolution of life violates this law. Over time, complex organisms evolved from much simpler ancestors, representing a large decrease in entropy of the Earth's biosphere. It is a fact that living organisms have evolved to be highly structured, and much lower in entropy than the substances from which they grow. But it is always possible for the entropy of one part of the universe to decrease, provided the total change in entropy of the universe increases. In equation form, we can write this as

$\Delta S_{tot} = \Delta S_{sys} + \Delta S_{env} >0$ .

Thus ΔSsys can be negative as long as ΔSenv is positive and greater in magnitude.

How is it possible for a system to decrease its entropy? Energy transfer is necessary. If I gather iron ore from the ground and convert it into steel and build a bridge, my work (and used energy) has decreased the entropy of that system. Energy coming from the Sun can decrease the entropy of local systems on Earth—that is, ΔSsys is negative. But the overall entropy of the rest of the universe increases by a greater amount—that is, ΔSenv is positive and greater in magnitude. Thus, ΔStot>0, and the second law of thermodynamics is not violated.

Every time a plant stores some solar energy in the form of chemical potential energy, or an updraft of warm air lifts a soaring bird, the Earth can be viewed as a heat engine operating between a hot reservoir supplied by the Sun and a cold reservoir supplied by dark outer space—a heat engine of high complexity, causing local decreases in entropy as it uses part of the heat transfer from the Sun into deep space. However, there is a large total increase in entropy resulting from this massive heat transfer. A small part of this heat transfer is stored in structured systems on Earth, producing much smaller local decreases in entropy .

Earth's Entropy

Earth's entropy may decrease in the process of intercepting a small part of the heat transfer from the Sun into deep space. Entropy for the entire process increases greatly while Earth becomes more structured with living systems and stored energy in various forms.

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