Thermodynamics
Work Done by Gas
Work done by expanding gas (area under P-V curve).
Variables
WJ
Work
Work done by gas
In SI units: kg·m²/s²
PPa
Pressure
Gas pressure
In SI units: kg/(m·s²)
dVm³
Volume change
Infinitesimal volume change
Derivation
W = ∫P dV. For constant P: W = PΔV.
Your notes
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Other thermodynamics formulas with the same quantities
- Work (Isothermal Process) (First Law) shares Work
- Adiabatic Process (First Law) shares Pressure
- Work (Adiabatic Process) (First Law) shares Work
- Enthalpy (First Law) shares Pressure
- Ideal Gas Law (Molecular) (Kinetic Theory) shares Pressure
- Mean Free Path (Kinetic Theory) shares Pressure
Where this formula is listed
- Thermodynamics formulas, under First Law, alongside Internal Energy (Ideal Gas) and Heat Capacity Relation.
- In the thermodynamics list it comes after First Law of Thermodynamics and before Work (Isothermal Process).
- Thermodynamics formula sheet, one of 34 formulas printed with symbol keys and SI units.
- The full formula index, grouped by category and topic.
Common questions
What is the Work Done by Gas formula?
Work Done by Gas is written W = ∫PdV. Work done by expanding gas (area under P-V curve). It belongs to Thermodynamics, under First Law.
What are the units in W = ∫PdV?
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 = ∫PdV.