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Thermodynamics · intro

First Law of Thermodynamics

Energy conservation written for heat, work, and internal energy.

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First Law of Thermodynamics

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Statement

For a closed system,

dU=δQδW.dU=\delta Q-\delta W.

Here UU is internal energy, δQ\delta Q is heat added to the system, and δW\delta W is work done by the system. For simple compressible matter,

δW=pdV,\delta W=p\,dV,

so a reversible quasistatic process satisfies

dU=TdSpdV.dU=T\,dS-p\,dV.

Meaning

The first law does not say which processes occur spontaneously. It only conserves energy. Directionality enters through entropy and the second law.

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