Thermodynamics Calculators: Ideal Gas, Processes & Heat Engines

Interactive workspace initializes in your browser. Engineering method, assumptions, validation, and references are available below.

Engineering reference

Thermodynamics: theory, method, and sources

This physics workspace publishes 8 governing equations, 4 stated assumptions, 2 documented boundaries, and 3 sources so the numbers it returns can be checked rather than taken on trust.

Calculations run locallyCalculation & source methodology

How this tool works

The workbench separates nine common thermodynamics models into focused tabs with live reference diagrams.

Every numerical field is safety-clamped before calculation and rendering.

Calculators and topics covered

thermodynamics
ideal gas
heat transfer
entropy
Carnot
conduction
blackbody radiation
phase change
ideal gas law calculator
specific heat calculator
thermal expansion calculator
Carnot efficiency calculator
entropy calculator
multilayer conduction calculator

Core equations

\text{ideal gas:}\quad \mathrm{PV} = nRT

\text{sensible heat:}\quad Q = mc\Delta T

\text{thermal expansion:}\quad \Delta L = \alpha L_{0} \Delta T

\text{Carnot efficiency:}\quad \eta = 1 \frac{- T_{C}}{T_{H}}

\text{entropy:}\quad \Delta S = \frac{Q_{\mathrm{rev}}}{T}\; or\; mc\; \ln \left(\frac{T_{2}}{T_{1}}\right)

\text{layered conduction:}\quad R_{\mathrm{total}} = \frac{\sum L}{kA}

\text{thermal radiation:}\quad P = \varepsilon \sigma AT^{4}

\text{phase change:}\quad Q = mc\Delta T + mL

Method and assumptions

Assumptions

Temperature entry can use Celsius or kelvin; gas, engine, entropy, and radiation equations use absolute kelvin. Temperature differences do not receive a Celsius offset.
Material properties are treated as constant over each selected interval.
Conduction is one-dimensional and steady-state with perfect layer contact.
Blackbody calculations use the graybody approximation with wavelength-independent emissivity.

Limitations and design boundaries

Real gases, transient conduction, convective correlations, detailed spectral emissivity, and multi-phase equilibrium are outside the current models.
Results are educational estimates and are not safety-critical design certification.

Sources and references

Primary sources are preferred for ratings, standards, manufacturer data, and externally defined constants.

Source policy

Çengel and Boles, Thermodynamics: An Engineering ApproachIdeal gas behaviour, heat transfer, Carnot limits, and entropy accounting.
Moran, Shapiro, Boettner and Bailey, Fundamentals of Engineering ThermodynamicsClosed and open system energy balances and second law analysis.
CODATA Internationally Recommended Values of the Fundamental Physical ConstantsGas constant, Stefan-Boltzmann constant, and Wien displacement constant.