Thermodynamics Calculators — Heat Transfer, Gas Laws & Entropy

Calculate heat transfer (Q = mcΔT), specific heat capacity, ideal gas law (PV = nRT), thermal expansion, and entropy changes with step-by-step solutions.

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Understanding Thermodynamics

Thermodynamics studies heat, temperature, and energy transfer between systems. The heat equation Q = mcΔT is the workhorse formula: it tells you that heating 1 kg of water by 1°C requires 4,186 J, while heating the same mass of copper requires only 385 J. These differences in specific heat capacity explain everyday phenomena — why metal feels colder than wood at the same temperature, and why coastal climates are more moderate than inland ones.

The ideal gas law (PV = nRT) connects pressure, volume, temperature, and amount of gas in a single equation. Combined with the first law of thermodynamics (ΔU = Q − W), you can analyze engines, refrigerators, and any process involving heat and work. Thermal expansion calculations predict how structures change size with temperature — critical for engineering bridges, railways, and precision instruments.

Thermodynamics builds on energy, work & power concepts by adding heat as a form of energy transfer. It also connects to fluid mechanics, since temperature and pressure differences drive fluid behavior in systems from weather patterns to HVAC systems.

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