Thermodynamics

Work Done by Gas

W=PdVW = \int P\, dV

Work done by expanding gas (area under P-V curve).

Variables

W
Work
Work done by gas
J
P
Pressure
Gas pressure
Pa
dV
Volume change
Infinitesimal volume change

Derivation

W = ∫P dV. For constant P: W = PΔV.

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Common questions

What is the Work Done by Gas formula?

Work Done by Gas is written W = ∫P dV. Work done by expanding gas (area under P-V curve). It belongs to Thermodynamics, under First Law.

What are the units in W = ∫P dV?

In SI units, W is work, measured in kg·m²/s²; P is pressure, measured in kg/(m·s²); dV is volume change, measured in m³.

How is the Work Done by Gas formula derived?

W = ∫P dV. For constant P: W = PΔV. The result is W = ∫P dV.