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23 calculators

Thermodynamics Calculators

Ideal gas law, thermodynamic cycles, entropy, steam tables, and psychrometrics

Engineering Thermodynamics is the science of energy — how it is stored, transferred, and converted between forms. The course covers the fundamental laws that govern all energy conversion processes, from car engines to power plants to refrigerators.

The First Law of Thermodynamics — conservation of energy — is the foundation. Students learn to apply energy balances to open and closed systems, tracking heat transfer, work, and changes in internal energy. The Second Law introduces entropy, which quantifies the direction of spontaneous processes and sets a fundamental upper limit on the efficiency of heat engines through the Carnot theorem. Key topics include the Ideal Gas Law and equations of state for real gases, thermodynamic processes (isothermal, isobaric, isochoric, isentropic, polytropic), and power cycles including the Otto cycle (gasoline engines), Diesel cycle (diesel engines), and Rankine cycle (steam power plants). Steam tables and refrigerant tables provide thermodynamic property data for working fluids. Psychrometrics addresses moist air — essential for HVAC design.

Thermodynamics is fundamental to power generation, propulsion, refrigeration, and any engineering system that involves heat and work. It provides the efficiency benchmarks against which real systems are evaluated and improved.

Key Concepts

  • First Law of Thermodynamics: energy conservation
  • Enthalpy, internal energy, and specific heats
  • Second Law of Thermodynamics: entropy and irreversibility
  • Ideal gas law and real gas equations of state
  • Reversible processes: isothermal, isobaric, isochoric, isentropic
  • Carnot cycle and maximum efficiency
  • Rankine cycle for steam power plants
  • Otto cycle (gasoline engine) and Diesel cycle
  • Refrigeration cycles and COP
  • Steam tables and property interpolation
  • Psychrometrics: moist air properties and processes

Prerequisites

Calculus (single-variable)

Work integrals and thermodynamic process analysis involve integration along state paths.

Chemistry (Basic)

Understanding molecular concepts, moles, and reactions provides context for internal energy and enthalpy.

Introductory Physics (Heat and Temperature)

Familiarity with temperature scales, specific heat, and heat transfer helps with thermodynamic state concepts.

Thermo Calculators

Ideal Gas Law Calculator

Solve for P, V, n, or T using PV = nRT with unit conversions for pressure, volume, and temperature

Isentropic Process Calculator

Calculate isentropic process relations between states using P, V, T and the specific heat ratio γ

Carnot Efficiency Calculator

Calculate Carnot cycle efficiency, net work, and required temperatures for a given efficiency

Otto Cycle Calculator

Calculate Otto cycle thermal efficiency and state-point temperatures and pressures from compression ratio

Diesel Cycle Calculator

Calculate Diesel cycle thermal efficiency from compression ratio, cutoff ratio, and specific heat ratio

Rankine Cycle Calculator

Calculate Rankine cycle efficiency, turbine work, pump work, and heat input from state-point enthalpies

Heat Engine Calculator

Solve for Q_in, Q_out, W_net, or efficiency given any two of the four heat engine quantities

Refrigeration COP Calculator

Calculate coefficient of performance for refrigerators and heat pumps, including Carnot COP from temperatures

Psychrometric Calculator

Calculate humidity ratio, dew point, enthalpy, and specific volume from dry-bulb temperature and relative humidity

Steam Table Interpolation Calculator

Interpolate saturated water properties (P_sat, v_f, v_g, h_f, h_fg, h_g, s_f, s_g) from built-in steam tables

Steam Table Lookup (Pressure)

Pressure-based saturated steam table lookup: enter P_sat → interpolated T_sat, v_f, v_g, h_f, h_fg, h_g, s_f, s_fg, s_g

Compressor / Turbine Calculator

Ideal and actual outlet temperature, work per unit mass, and shaft power for adiabatic compressors and turbines using isentropic efficiency

Combustion Calculator

Stoichiometric and actual air-fuel ratio, excess air, moles of combustion products, and adiabatic flame temperature for methane, propane, octane, and hydrogen

Gas Mixture Calculator

Mixture molecular weight, cp, cv, γ, and R from component mole or mass fractions. Dalton's partial pressures and Amagat's partial volumes.

Water / Steam Properties Calculator

Enter any two thermodynamic properties (T, P, v, h, s, u, x) to determine the complete state of water/steam with saturated, superheated, and compressed liquid tables

R-134a Properties Calculator

Comprehensive R-134a refrigerant property lookup: enter any two properties to get T, P, v, h, s, u, quality, and state (saturated/superheated)

R-410A Properties Calculator

R-410A refrigerant thermodynamic property lookup: enter any two properties to find the complete state including saturated mixture and superheated regions

Ammonia (NH3) Properties Calculator

Ammonia refrigerant property lookup for industrial refrigeration: saturated and superheated tables with two-property state determination

First Law Solver

Solve Q - W = ΔU (closed) or Q - W = ΔH (open) using built-in steam tables with process type selection (adiabatic, isentropic, isothermal, isobaric, isochoric)

PdV Work Calculator

Calculate boundary work W = ∫PdV from data points (Riemann sums), process type (isobaric, isothermal, polytropic), or P(V) expression with P-V diagram

Heat Transfer Q Calculator

Q = mcΔT calculator with 25+ substance specific heats, phase change support for water (latent heat of fusion/vaporization), solve for Q, m, ΔT, or T_final

Ideal Gas Properties Calculator

Temperature-dependent cp, cv, γ, R, density, enthalpy, and entropy for 14 common ideal gases (air, N₂, O₂, CO₂, H₂, CH₄, etc.) using polynomial fits

Phase Diagram Calculator

Interactive P-T phase diagram for water showing solid/liquid/vapor/supercritical regions, saturation curve, triple and critical points, with process path plotting