Skip to main content
engineering

Ammonia (NH3) Properties Calculator

Ammonia refrigerant property lookup for industrial refrigeration: two-property state determination from the Gao et al. (2023) reference equation of state

By Christopher FloiedPublished Updated

Enter any two properties to find the thermodynamic state of ammonia; for a few pairs the tool reports that the state is ambiguous or cannot be resolved (for example close to the critical point). Values come from the Gao et al. (2023) reference equation of state, whose stated range is −77.65 to 451.85 °C and up to 1000 MPa (critical point 132.41 °C, 11,363 kPa). Common in industrial refrigeration systems.

Absolute h, s and u depend on this choice; Δh and Δs between two states do not.

State: Saturated Mixture (Two-Phase), T -10.00 °C, P 290.64 kPa, x 0.5000.

State: Saturated Mixture (Two-Phase)

Complete Thermodynamic State

Temperature T-10.00 °C
Pressure P290.64 kPa
Specific Volume v0.209909 m³/kg
Enthalpy h783.23 kJ/kg
Entropy s3.0066 kJ/(kg·K)
Internal Energy u722.22 kJ/kg
Quality x0.5000

Ammonia Saturation Curve (P_sat vs T)

The line is the saturation pressure, ending just below the critical point. ● marks your state at (T, P): below the critical temperature, above the line is compressed liquid and below it superheated vapour; above the critical temperature the phase depends on the pressure as well, as the State line shows.

Tip: hover to read values, click to pin a point for export

Continue your calculation

Values come from the Gao et al. (2023) reference equation of state for ammonia; its stated range is from the triple point to 451.85 °C and up to 1000 MPa. Use absolute pressure: T and P alone cannot fix a saturated mixture, so give the quality there, and for a few pairs the tool reports that the state is ambiguous or cannot be resolved.

How to Use This Calculator

1

Enter your input values

Fill in all required input fields for the Ammonia (NH3) Properties Calculator. Follow the units and input format printed next to each field. Where a unit selector is available, choose the units that match your data.

2

Review your inputs

Double-check that all values are correct and match the units or format shown for each field. Incorrect units are the most common source of calculation errors and can produce results that are off by factors of 2, 10, or more.

3

Read the results

The Ammonia (NH3) Properties Calculator computes the output in your browser and displays the results, with units clearly labeled, as soon as they are ready — no data sent to a server.

4

Explore parameter sensitivity

Try adjusting individual input values to see how the output changes. This is a quick and effective way to develop intuition about how different parameters influence the result and to identify which inputs have the largest effect.

Formula Reference

Reduced Helmholtz Energy (Gao et al. 2023 reference equation of state)

α(τ, δ) = a/(RT) = α⁰(τ, δ) + αʳ(τ, δ) | τ = T_c/T, δ = ρ/ρ_c

Variables: a = specific Helmholtz energy (J/kg); R = 8.3144598 J/(mol·K) / 17.03052 g/mol = 488.21 J/(kg·K); T = temperature (K); ρ = density (kg/m³); T_c = 405.56 K and ρ_c = 233.25 kg/m³ are the reducing (critical) parameters — critical point 132.41 °C, 11,363 kPa. α⁰ is the ideal-gas part (ln δ, a constant, a term linear in τ, a ln τ term and three Planck–Einstein terms); αʳ is the residual part with 20 terms (power, exponential and Gaussian terms plus two associating terms that represent hydrogen bonding). Coefficients are read from CoolProp 8.0.0's ammonia file. The equation of state's stated range is from the triple point (−77.65 °C) to 451.85 °C and up to 1000 MPa; inside it some pairs of inputs still have no state or more than one, and the tool does not check for freezing at high pressure. Source: Gao, Wu, Bell, Harvey & Lemmon, J. Phys. Chem. Ref. Data 52, 013102 (2023).

Thermodynamic Properties from the Helmholtz Energy

p = ρRT(1 + δαʳ_δ) | u = RTτ(α⁰_τ + αʳ_τ) | h = RT[1 + τ(α⁰_τ + αʳ_τ) + δαʳ_δ] | s = R[τ(α⁰_τ + αʳ_τ) − α⁰ − αʳ]

Variables: p = pressure (Pa); u = specific internal energy (J/kg); h = specific enthalpy (J/kg); s = specific entropy (J/(kg·K)); subscripts δ and τ are partial derivatives of α with respect to δ or τ. From your two known properties the tool finds the state with a bounded numerical search on these relations: density along the isotherm (T with P, v, h, s or u), temperature along the isobar (P with v, h, s or u) or the isochore (v with h, s or u), pressure along the isentrope or the isenthalp (pairs of h, s and u), and the saturation line for pairs with x. When the search cannot give one state it says so instead of guessing: the state is ambiguous (every match is listed), the quality is not fixed (T and P on the saturation line), the liquid and vapour cannot be resolved (too close to the critical point), or the search did not converge. Results are shown in °C, kPa, kJ/kg and kJ/(kg·K). Source: Span, Multiparameter Equations of State (Springer, 2000), Table 3.1.

Saturation (Phase Equilibrium) and the Lever Rule

p(T, ρ′) = p(T, ρ″) and g(T, ρ′) = g(T, ρ″) | y = y′ + x · (y″ − y′) for y = v, h, s, u

Variables: ρ′, ρ″ = saturated-liquid and saturated-vapour densities (kg/m³); g = specific Gibbs energy (J/kg); x = quality, the vapour mass fraction (0 to 1); y′, y″ = saturated-liquid and saturated-vapour values of v, h, s or u. The two equalities are solved by Newton's method in (δ′, δ″) from the fluid's ancillary equations, stepping in from 0.1 % below the critical temperature when closer than that. Saturation is supported up to a limit about 0.04 mK below the critical temperature; closer than that, the tool reports that the liquid and vapour cannot be resolved. Temperature and pressure exactly on the saturation line do not fix x, so the tool reports that the quality is not fixed instead of assuming saturated liquid; enter x, v, h, s or u with T or P instead. Sources: Akasaka, J. Therm. Sci. Technol. 3, 442–451 (2008); Moran, Shapiro, Boettner & Bailey, Fundamentals of Engineering Thermodynamics, 8th ed., Ch. 3.

Enthalpy and Entropy Reference States

ASHRAE: h′ = 0, s′ = 0 at −40 °C | IIR: h′ = 200 kJ/kg, s′ = 1 kJ/(kg·K) at 0 °C | NBP: h′ = 0, s′ = 0 at 101.325 kPa

Variables: h′, s′ = saturated-liquid enthalpy and entropy at the stated condition. Choosing a reference state adds one constant to every h and u and another to every s, so Δh, Δs and Δu — the quantities in energy balances — are the same in all three. The tool defaults to ASHRAE. For ammonia at 0 °C, h′ = 181.06 kJ/kg (ASHRAE), 200.00 kJ/kg (IIR) or 151.27 kJ/kg (NBP), and h_fg = 1261.77 kJ/kg in every case. Source: offsets applied as in CoolProp's set_reference_state (Bell et al., Ind. Eng. Chem. Res. 53, 2498–2508, 2014).

When to Use This Calculator

  • •Use the Ammonia (NH3) Properties Calculator to check your hand calculations on homework or exam problems — comparing its result with your own working helps identify arithmetic errors before they propagate.
  • •Use it during the early design phase to rapidly iterate on parameters and narrow down feasible configurations before committing time to detailed finite element simulations or full design packages.
  • •Use it when reviewing a colleague's calculation or checking a vendor's data sheet for plausibility — a quick sanity check can prevent costly downstream errors.
  • •Use it to generate reference data for a technical report or presentation without manual computation, ensuring consistent, reproducible numbers throughout the document.
  • •Use it in the field when a quick estimate is needed and a full engineering software package is not available.

About This Calculator

The Ammonia (NH3) Properties Calculator is a precision engineering calculation tool designed for students, engineers, and technical professionals. Ammonia refrigerant property lookup for industrial refrigeration: two-property state determination from the Gao et al. (2023) reference equation of state All calculations are performed using established engineering formulas from the relevant scientific literature and standards. Follow the units printed beside each field. Where a unit selector is provided, the selected unit is converted internally. Results are computed in your browser without sending data to a server, which keeps your inputs private. This calculator is intended as a supplementary tool for learning and design exploration; always verify results against authoritative references for safety-critical applications.

The Theory Behind It

Ammonia (NH₃, also called R-717 in refrigeration nomenclature) has been used as a refrigerant since the late 1800s and remains the dominant refrigerant for industrial refrigeration — ice rinks, cold-storage warehouses, food processing, fish storage, petrochemical cooling — due to excellent thermodynamic properties and zero ozone/global warming impact. Key properties: normal boiling point −33.32°C (good for low-temperature refrigeration down to about −60°C), critical temperature 132.41°C, critical pressure 11.36 MPa (higher than most refrigerants), molecular weight 17.03 g/mol (low, giving high volumetric cooling capacity), and very high latent heat of vaporization 1262 kJ/kg at 0°C (about 6× higher than R-134a). This high latent heat means ammonia systems need very low refrigerant mass flow for a given cooling duty, resulting in smaller compressors and less piping mass. Zero ozone depletion potential, zero global warming potential, and zero smog formation make ammonia an environmental favorite. The main drawbacks are toxicity (ammonia vapor is an irritant at 25 ppm and lethal at 500 ppm sustained exposure), mild flammability (15-28% in air with high ignition energy — unlikely to ignite without a strong spark), and chemical incompatibility with copper (which mandates steel piping). The last limitation is why ammonia is not used in residential or commercial HVAC where copper tubing is standard. Operating pressures at typical industrial conditions: −40°C evaporator = 71.6 kPa (vacuum), 40°C condenser = 1555 kPa. The very low evaporator pressure requires special sealing to prevent air ingress, which creates non-condensable gas problems in the condenser. The calculator evaluates the Gao et al. (2023) reference equation of state for any two known properties within the equation's stated range, from the triple point (−77.65°C) to 451.85°C and up to 1000 MPa; for a few pairs it reports that the state is ambiguous or cannot be resolved, for example close to the critical point.

Real-World Applications

  • •Industrial cold storage: ammonia is the dominant refrigerant for large cold-storage warehouses (100,000 ft² or more). Low-temperature storage (−18°C to −30°C) for meat, seafood, and frozen foods uses ammonia extensively.
  • •Ice rinks and hockey arenas: the ice surface beneath most hockey rinks is cooled by ammonia in buried tubing. System size typically 150-400 kW for a regulation rink.
  • •Food processing plants: fish processing, beer brewing, wine storage, meat packing, dairy, and bakery all use ammonia refrigeration for both storage and process cooling.
  • •Petrochemical and natural gas processing: LNG trains use ammonia in cascade with propane and ethane for progressive cooling toward liquefaction temperatures.
  • •Pharmaceutical cold storage: vaccines, biologics, and temperature-sensitive drugs are stored in ammonia-refrigerated warehouses or freezer farms.

Frequently Asked Questions

Why is ammonia used in industrial refrigeration?

Four main reasons: (1) high latent heat of vaporization (1262 kJ/kg at 0°C) gives high cooling capacity per unit mass flow; (2) zero GWP and zero ODP make it environmentally excellent; (3) low cost compared to HFCs and HFOs; (4) natural refrigerant with no synthetic chemistry required. The main barriers to wider use are toxicity (irritant at low concentrations, lethal at high) and incompatibility with copper, which makes it unsuitable for residential and most commercial HVAC applications that rely on copper tubing.

Is ammonia dangerous?

Yes, ammonia is toxic. OSHA sets permissible exposure limit (PEL) at 50 ppm time-weighted average for 8 hours. Immediate danger to life and health (IDLH) is 300 ppm. Short-term (15 min) exposure limit is 35 ppm. Ammonia's pungent smell is detectable at about 5 ppm, giving early warning of leaks well below harmful concentrations. Industrial systems have leak detection, ventilation, and emergency response procedures to manage the risk. Despite toxicity, the safety record of properly-designed and maintained ammonia systems is excellent — hundreds of thousands of systems operate worldwide.

Why can't ammonia be used with copper?

Ammonia corrodes copper and copper alloys aggressively, especially in the presence of moisture. This chemical incompatibility means all ammonia refrigeration equipment must use steel piping, steel condenser tubes, and steel fittings. Copper-free design adds cost and limits available component selection, making ammonia systems more expensive than equivalent HFC systems in small sizes. At industrial scale, the cost difference is offset by the lower refrigerant cost and better efficiency.

What's the environmental advantage of ammonia?

Ammonia has zero ozone depletion potential (unlike CFCs and HCFCs), zero global warming potential (unlike HFCs), and zero smog formation. It is a 'natural refrigerant' — the ammonia atmospheric lifetime is short (days, not centuries like HFCs) and breaks down into N₂ and H₂O. From a climate perspective, ammonia is the best available refrigerant. The toxicity and flammability trade-offs restrict its application to industrial settings with proper engineering controls.

How does ammonia's latent heat compare to other refrigerants?

Ammonia has exceptionally high latent heat of vaporization at refrigeration temperatures: 1262 kJ/kg at 0°C, about 6× higher than R-134a (199 kJ/kg). This means that for the same cooling duty, an ammonia system needs 1/6 the refrigerant mass flow, which translates to smaller compressor displacements and smaller pipe sizes. The high latent heat is primarily due to ammonia's small molecular weight (17 g/mol) and strong hydrogen bonding in the liquid phase.

Related Concepts

Related Calculators

References & Further Reading

Wikipedia

Industry References

Textbooks

  • Gao K, Wu J, Bell IH, Harvey AH, Lemmon EW. A Reference Equation of State with an Associating Term for the Thermodynamic Properties of Ammonia, 2023. J. Phys. Chem. Ref. Data 52(1), 013102, doi:10.1063/5.0128269.

    The reference equation of state the ammonia values are computed from.

  • Bell IH, Wronski J, Quoilin S, Lemort V. Pure and Pseudo-pure Fluid Thermophysical Property Evaluation and the Open-Source Thermophysical Property Library CoolProp, 2014. Ind. Eng. Chem. Res. 53(6), 2498–2508, doi:10.1021/ie4033999.

    Source of the equation-of-state coefficients (MIT licence) and of the reference values the tool is tested against.

Add the live Ammonia (NH3) Properties Calculator to your site. Free to embed, with a link back to MegaCalc.