Work from Pressure and Volume Change

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Work from Pressure and Volume Change

Work from Pressure and Volume Change
\[W = P\Delta V\]

Variables

W = work (J)
P = constant pressure (Pa)
dV = volume change (m³)

Description

What is this formula?

The pressure-volume work equation calculates the mechanical work performed by or on a gas during expansion or compression at constant pressure.


When to use it

Use this formula when analyzing thermodynamic systems, gas expansion, pistons, compressors, engines, or fluid power systems.


Example

A gas expands by 0.03 m³ under a constant pressure of 200000 Pa.


Data:

P = 200000 Pa

dV = 0.03 m³


Formula:

W = P*dV


Substitution:

W = 200000*0.03


Result:

W = 6000 J


Applications

Thermodynamics, internal combustion engines, compressors, pneumatic systems, energy systems, and mechanical engineering.


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