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anuttarasammyak
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As summarized.
Thanks for your teaching.etotheipi said:i.e. P=−∂U∂V is a special case, not applicable here
It only works out that way for the special case of an ideal monoatomic gas.anuttarasammyak said:Summary:: Pressure and energy of of ideal gas are p=NkT/V, E=3/2 NkT. So p=2/3 E/V. Why it is not E/V because pressure is energy per volume? How do I reconcile this ?
As summarized.
Who says it can be interpreted that way?anuttarasammyak said:Thanks. I could confirm pressure is not internal energy density. Do we have a general interpretation what kind of energy density pressure has ?
Pressure as energy per volume is a measure of the force exerted by a substance on a unit area. It is calculated by dividing the amount of energy by the volume of the substance.
Pressure as energy per volume is typically measured using a pressure gauge, which can be a manometer or a pressure sensor. These devices measure the force exerted by a substance on a unit area and convert it into a numerical value.
The units of pressure as energy per volume can vary depending on the system of measurement being used. In the SI system, the unit is pascals (Pa), while in the imperial system, it is pounds per square inch (psi). Other common units include atmospheres (atm) and bars (bar).
Pressure as energy per volume can have various effects on objects depending on the magnitude of the pressure. High pressure can compress or deform objects, while low pressure can cause them to expand. Extreme pressure can also cause objects to rupture or break.
Pressure as energy per volume has many practical applications in various fields, including engineering, chemistry, and meteorology. It is used in designing and testing structures, determining the properties of gases, and predicting weather patterns. It is also essential in hydraulic systems, where pressure is used to transfer energy and power machines.