Temperature

[Verse 1] Hold the volume still tonight Let the entropy rise slow Watch the energy respond That's the only way to know Every increment you add To the disorder of the state Tells you how the energy Moves at this particular rate [Pre-Chorus] Not the heat alone Not the chaos on its own The ratio between them At constant volume shown [Chorus] T is how U answers S When volume holds its breath Partial of U with respect to S Constant V defines the rest T is how U answers S The gentlest kind of change dU over dS at constant V Temperature is what remains [Verse 2] You can feel it in the slope Of the energy and order Hold the walls from moving out Stay inside the border Raise the entropy a little Watch internal energy climb The steepness of that hillside Tells you temperature every time [Pre-Chorus] Not approximation Not a special case The exact derivative Defines this place [Chorus] T is how U answers S When volume holds its breath... [Outro — slow fade] Constant V dU dS That's all temperature ever was Constant V dU dS Nothing more Nothing less