Work Done by a Gas

📊 intermediate

$$W = \int_{V_1}^{V_2} P \, dV$$

The work performed by a gas during expansion or compression.

Variables & Units

$W$

Work done

Unit: Joule ($J$)

$P$

Pressure

Unit: Pascal ($Pa$)

$V$

Volume

Unit: $m^3$

Key Information

📐 Derived From

Definition of mechanical work ($F \cdot dx$).

💡 Example

Calculating work in an isothermal expansion.

🔧 Applications

Internal combustion engines and steam turbines.

⚠️ Constraints

Assumes a quasi-static process.

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