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First Law of Thermodynamics

ΔU = q + w
Quick Reference
Formula / NotationΔU = q + w
Also Known AsLaw of energy conservation, thermodynamic first law, conservation of energy

What is First Law of Thermodynamics?

The First Law of Thermodynamics is a statement of energy conservation: energy cannot be created or destroyed, only converted from one form to another. For a thermodynamic system, the change in internal energy (ΔU) equals the heat added to the system (q) plus the work done on the system (w). It establishes that the total energy of an isolated system remains constant.

Formula & Notation

ΔU = q + w

Other Names / Synonyms: Law of energy conservation, thermodynamic first law, conservation of energy

Properties & Characteristics

ΔU = q + w (IUPAC convention). Alternative: ΔU = q - w (work done by system). For closed system: ΔU = q + w. For isolated system: ΔU = 0. Enthalpy: H = U + PV; ΔH = ΔU + PΔV. Work: w = -P_ext ΔV (expansion work). State function: ΔU independent of path.

Uses & Applications

Engineering thermodynamic calculations. Heat engine and refrigerator efficiency. Chemical reaction energy balance. Phase transition calculations. Internal combustion engine design. Power plant design. Industrial process energy auditing.

Safety Information

Conceptual law — no direct safety concerns. Practical applications (engines, reactors) have their own specific hazards. Misapplication in design calculations could lead to dangerous underestimation of energy release.

Always consult the SDS/MSDS before handling any chemical. This information is for educational purposes only.

Key Facts

Term First Law of Thermodynamics
Formula ΔU = q + w
Synonyms Law of energy conservation, thermodynamic first law, conservation of energy

Frequently Asked Questions

The First Law of Thermodynamics is a statement of energy conservation: energy cannot be created or destroyed, only converted from one form to another. For a thermodynamic system, the change in internal energy (ΔU) equals the heat added to the system (q) plus the work done on the system (w). It establishes that the total energy of an isolated system remains constant.

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