Atmospheric Pressure at Altitude Calculator
Atmospheric pressure drops with altitude. Enter the altitude (and optionally local sea-level pressure and temperature) and the tool returns ambient pressure using the International Standard Atmosphere (ISA 1976) model in hPa, atm, psi and mmHg, plus the corresponding water-boiling point and oxygen partial pressure — suitable for hiking, mountaineering, drones, aviation and high-altitude cooking.
Enter a valid altitude (−500 to 20 000 m), sea-level pressure (800–1 100 hPa) and temperature (−50 to 60 °C).
Pressure at altitude
701
hPa
—
Conversions
- atm
- 0.692
- psi
- 10.17
- mmHg
- 526
- O₂ pp
- 146.8
Water boiling point
91 °C
Antoine-equation estimate (valid 1–100 °C); high-altitude cooking times need to be extended accordingly.
Altitude band
Based on the International Standard Atmosphere (ISA 1976). Real-world pressure varies by ± 30 hPa with weather systems.
Formula
Troposphere (h ≤ 11 000 m): p(h) = p₀ × (1 − L·h ⁄ T₀)^(g·M ⁄ R·L). Lower stratosphere (11 000 < h ≤ 20 000 m): p(h) = p_trop × exp(−g·M·(h − 11 000) ⁄ R·T_strato).
- · ISA constants: p₀ = 1013.25 hPa, T₀ = 288.15 K (15 °C), L = 0.0065 K/m, g = 9.80665 m/s², M = 0.0289644 kg/mol, R = 8.31446 J/(mol·K).
- · The exponent g·M ⁄ (R·L) ≈ 5.25588 — the signature constant of the ISA model.
- · The tropopause sits near 11 km where the temperature levels off at −56.5 °C; above that the calculator switches to the isothermal exponential law.
- · Real-world pressure varies ±30 hPa with weather systems (highs/lows); this tool returns the mean static pressure, not the instantaneous QFE.
- · Cooking at altitude: water boiling point drops ~1 °C per 300 m (about 84 °C at 4 500 m); recipes typically need 25–50 % more time.
- · Oxygen partial pressure = total × 20.946 %. At Everest summit (8 848 m) it is ~66 hPa, only 31 % of sea level — hence the supplemental-O₂ requirement.
- · References: U.S. Standard Atmosphere 1976 (NOAA / NASA / USAF); ICAO Doc 7488 "Manual of the ICAO Standard Atmosphere" (1993).
Frequently asked
Why does my watch / barometer disagree with this calculator?
Three reasons. (1) Weather variability — real-world pressure swings by ±30 hPa with weather systems; this tool reports the static ISA value. Before a storm or typhoon you can read materially below ISA. (2) Temperature — the tool defaults to a 15 °C sea-level temperature; if it is actually 30 °C or −10 °C in your area, the lapse rate changes (warm air is less dense and pressure drops more slowly). Override the "sea-level temperature" field for a better match. (3) Calibration — most outdoor watches estimate altitude from pressure, so cross-checking creates a circular reference. Best practice: when you reach a known marker (trig point, station signage), recalibrate the watch to the true elevation; the pressure it reads afterwards will be much closer to the ISA assumption. ±5 hPa accuracy is fine for most mountaineering, photography or boiling-point use cases.
Why does cooking take so much longer at high altitude?
Because the boiling point of water is tied directly to ambient pressure. Boiling happens when water's vapour pressure equals the surrounding pressure — at lower pressure, less vapour pressure is needed, so water boils at a lower temperature. But cooking chemistry (starch gelatinisation, protein denaturation, Maillard browning) is very temperature-sensitive — rates roughly halve for every 10 °C drop. Examples: (a) at 4 500 m (La Paz) water boils ~84 °C, pasta extends from a sea-level 10 min to 14–16 min; (b) at 5 800 m alpine camps water boils ~80 °C and rice takes 40+ min and may still be al dente; (c) at 8 848 m (Everest) water boils ~70 °C and egg whites (which need ~71 °C to set) literally won't cook. Solution: a pressure cooker pushes pot pressure back above 100 °C — essential kit for high-altitude expeditions.
Does the ISA model apply in extreme weather or in the tropics?
ISA is a standardised "mean conditions" model, derived from mid-latitude (~45 °N) summer atmospheres, originally for aviation calibration and performance comparison. Real atmospheres deviate systematically in two ways: (1) Latitude — tropical sea-level temperatures average 28–32 °C and the tropopause reaches ~17 km; polar winter can be −40 °C with the tropopause as low as 8 km, giving tens of hPa difference at the same geometric altitude. (2) Season / weather — warm air is less dense, so for a given pressure the "density altitude" is higher and aircraft performance drops noticeably. For tropical users the tool will slightly underestimate pressure if you keep ISA defaults; override "sea-level pressure" (QNH) from the nearest METAR for better accuracy. Serious aviation / gliding planning should use the ICAO seasonal/latitudinal corrections (Doc 7488 Annex B) or pull live METAR/TAF. For hiking, cooking and low-altitude drone use (< 500 m AGL), ISA is more than precise enough — typical error < 5 %.
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Enter the incident photon wavelength and scattering angle; the tool returns the Compton shift Δλ = (h ⁄ m_e c)(1 − cos θ), the scattered-photon wavelength and the photon energy loss. Cornerstone result of quantum mechanics, X-ray scattering and radiation physics.
Transformer Turns Ratio Calculator
Enter primary / secondary turns (or voltages); the tool returns the turns ratio V₁ ⁄ V₂ = N₁ ⁄ N₂ = I₂ ⁄ I₁, the output voltage, the output current and the impedance reflection (N₁ ⁄ N₂)². Cornerstone of electrical engineering, audio output transformer design and power-distribution planning.
Light Travel Time Calculator (Distance ↔ Time)
Enter a distance (km, AU, light-years or parsecs); the tool uses c = 299 792 458 m/s to return the one-way light-travel time, with quick references for Earth–Moon, Earth–Sun and Earth–Mars distances. Useful for astronomy, deep-space communications and intro relativity classes.
Driving CO₂ Footprint Calculator (DEFRA 2024 factors)
Enter one-way distance (km or mi), vehicle class (small / medium / large petrol, diesel, hybrid, PHEV, BEV, motorbike), passenger count and whether the trip is return-only or round-trip; the tool applies DEFRA 2024 well-to-wheel emission factors to return total vehicle CO₂, per-passenger share, annualised (× 250 commuting-day) emissions and a tree-month offset.
Solar Panel Energy Output Calculator (PV)
Enter panel area, panel efficiency (%), average peak sun hours and the system performance ratio; the tool applies E = A × η × H × PR to return daily, monthly and annual kWh — the first sizing tool for any rooftop PV project.
Stoichiometry Limiting Reagent Calculator
Enter the moles available for two reactants plus their stoichiometric coefficients from the balanced equation; the tool identifies the limiting reagent, returns the theoretical yield of product (mol) and the excess reagent remaining. The canonical homework calculation in A-level, AP and first-year university chemistry.
Wind Turbine Power Output Calculator
Enter rotor diameter, wind speed, air density and the power coefficient Cp (Betz limit 0.593); the tool applies P = 0.5 × ρ × A × v³ × Cp to return instantaneous electrical power (kW), an annual-energy estimate and an equivalent number of households powered. The first-cut sizing tool for small wind turbines and off-grid systems.
Boyle's Law Calculator (P₁V₁ = P₂V₂)
Enter any three of initial pressure/volume and final pressure/volume of an isothermal gas; the tool returns the fourth via P₁V₁ = P₂V₂ — the foundational formula for scuba tank compression, syringes, engine pistons and air springs.
Osmotic Pressure Calculator (van 't Hoff)
Enter solute concentration, temperature and the van 't Hoff factor i; the tool returns osmotic pressure via π = i·M·R·T — the foundational equation for cell osmosis, reverse-osmosis desalination membranes and isotonic IV fluid tonicity.
Hyperfocal Distance Calculator
Enter the focal length, f-number, and sensor circle-of-confusion; the tool returns the hyperfocal distance via H = f² ⁄ (N × c) + f — the defining number for landscape, street and astro photography focus-point selection.
Capacitor Network (Series / Parallel) Calculator
Enter up to 8 capacitances and pick series or parallel; the tool returns the equivalent capacitance via C_parallel = ΣCᵢ or 1⁄C_series = Σ(1⁄Cᵢ) — the basic tool for circuit design and filter calculations.
Hydraulic Pump Power Calculator
Enter flow rate Q, total head H, fluid density and pump efficiency; the tool returns the required electrical power via P_shaft = ρ·g·Q·H ⁄ η in kW and HP — fundamental sizing equation for water supply, irrigation, fire-fighting and HVAC system design.
Heat Pump COP (Coefficient of Performance) Calculator
Heat pump COP = heat output Q ÷ electrical work input W. Enter the heat delivered and electricity used; the tool returns the COP and contrasts it with the Carnot upper bound COP_max = T_hot ⁄ (T_hot − T_cold) — useful for sizing AC, heat pumps, underfloor heating and water heaters.
Sabine Reverberation Time (RT60) Calculator
The Sabine formula RT60 = 0.161·V / A (metric) estimates the time it takes for sound to decay 60 dB inside a room. Enter the room volume and the total effective absorption (Σ Sᵢ·αᵢ); the tool returns RT60 and compares it against recommended ranges for studios, classrooms and concert halls.