Work Compresses Air,
Ta-da! Heat!
When air is compressed, work gets "stored". Air is a "heat battery" for work.
This is the reverse of the Heat to Work transformation.
At right, the Dashed Red Curve is the Temperature of vapor of the Work Curve. The Dashed Blue Curve is the Temperature of the Density Curve, or just ambient Temperature
The Temperature Curve is the Work Pressure Curve divided by the Density Pressure Curve.
The Work Pressure Curve is the Temperature Curve times by the Density Pressure Curve.
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Work Curve (Insulated), Density Curve (UN-insulated) , and Heat Curve (Work divided by Density)
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