Air pressure at altitude and boiling point calculator

Air pressure at altitude from the standard atmosphere, with temperature, air density and the boiling point of water, or the altitude for a given pressure.

更新日 検証済みの例:6

その他の設定
1013.25 hPa is the standard atmosphere; use today's QNH for a weather-adjusted figure.
試す
Air pressure
hPa
Air pressure: 845.60 hPa
小数点以下の桁数:2;最も近い値へ、等距離なら末尾が偶数の値へ
Altitude
1,500.0m / 4,921ft
Share of sea-level pressure
83.5%
Air temperature (standard atmosphere)
5.25°C
Air density
1.0581kg/m³
Water boils at
94.98°C / 203.0°F
Temperatures are the standard atmosphere's, not today's weather; boiling point depends only on the pressure.

At 1,500 m (4,921 ft) the standard atmosphere gives 845.6 hPa — 83.5% of sea-level pressure — and 5.3 °C. Water boils at 95.0 °C there.

Pressure falls with altitude

02505007501,00002.557.51012.5Altitude (km)Pressure (hPa)845.6 hPaTropopause
計算方法 S
  1. Geometric to geopotential height

    H=r0hr0+h=6356766×1,500.06356766+1,500.0=1,499.65 mH = \frac{r_0 h}{r_0 + h} = \frac{6356766 \times 1{,}500.0}{6356766 + 1{,}500.0} = 1{,}499.65\ \text{m}

    This height is in the troposphere (−6.5 K/km).

  2. Barometric formula

    P=101,325.0(288.15288.15−0.0065(H−0))−5.2559=84,559.7 PaP = 101{,}325.0\left(\frac{288.15}{288.15 - 0.0065(H - 0)}\right)^{-5.2559} = 84{,}559.7\ \text{Pa}

    g₀ = 9.80665 m/s², M = 0.0289644 kg/mol, R* = 8.31432 J/(mol·K) (1976 standard).

  3. Temperature and density

    T=278.40 K,ρ=PMR∗T=1.0581 kg/m3T = 278.40\ \text{K},\quad \rho = \frac{PM}{R^*T} = 1.0581\ \text{kg/m}^3
  4. Boiling point of water

    Ts(0.0845597 MPa)=368.134 K=94.98 °CT_s(0.0845597\ \text{MPa}) = 368.134\ \text{K} = 94.98\ °\text{C}

    IAPWS-IF97 saturation-temperature equation (eq. 31); it reproduces the IAPWS check value Ts(0.1 MPa) = 372.755919 K.

Air pressure at altitude and boiling point calculatorについて

Pressure at a height comes from the barometric formula of the U.S. Standard Atmosphere 1976: 1013.25 hPa and 15 °C at sea level, temperature falling 6.5 °C per kilometre up to 11 km, then steady at −56.5 °C to 20 km. The boiling point of water at that pressure comes from the IAPWS-IF97 saturation equation. Start from a pressure instead and the same formula runs backwards to the altitude.

Cooks, climbers, pilots and engineers use it to see how thin the air is. The default, 1,500 m, gives 845.6 hPa, 83.5% of sea-level pressure, and water boiling at 95.0 °C; on the summit of Everest (8,849 m) water boils at 70.2 °C.

The standard atmosphere is an average: real pressure moves with the weather, and the air temperature shown is the model's, not today's. Enter the day's sea-level pressure under More options for a weather-adjusted figure.

計算例

1,000 m

Start from
Altitude
Altitude above sea level
1000 m
Air pressure
898.76 hPa
Air temperature (standard atmosphere)
8.50 °C
Air density
1.1117 kg/m³

照合元:U.S. Standard Atmosphere 1976 table (geometric altitude): 1000 m → 8.9876×10⁴ Pa, 281.651 K, 1.1117 kg/m³

11,000 m (top of the troposphere)

Start from
Altitude
Altitude above sea level
11 km
Air pressure
227.00 hPa

照合元:U.S. Standard Atmosphere 1976 table: 11 000 m geometric → 2.2700×10⁴ Pa

20,000 m (isothermal layer)

Start from
Altitude
Altitude above sea level
20,000 m
Air pressure
55.29 hPa
Air temperature (standard atmosphere)
-56.50 °C

照合元:U.S. Standard Atmosphere 1976 table: 20 000 m → 5.5293×10³ Pa, 216.65 K

Altitude of the 500 hPa level

Start from
Air pressure
Air pressure
500 hPa
Altitude
5,579.3 m

照合元:Python decimal: inverse troposphere formula gives geopotential 5574.44 m (the ICAO 500 hPa level, 5574 m), converted to geometric height 5579.33 m

よくある質問

What is standard air pressure at sea level?

1013.25 hPa, the same as 101.325 kPa, 1 atm, 760 mmHg or 29.92 inHg, at an air temperature of 15 °C. These are the sea-level values of the U.S. Standard Atmosphere 1976 and of the ICAO standard atmosphere used in aviation. Actual sea-level pressure rises and falls with the weather around this value.

At what temperature does water boil at altitude?

About 1 °C lower for every 300 m of height near sea level. At standard pressure water boils at 99.97 °C at sea level, 94.6 °C in Denver (1,609 m), 87.8 °C in La Paz (3,640 m) and 70.2 °C on Everest (8,849 m), by the IAPWS-IF97 saturation equation. Food simmered in water cooks more slowly at altitude because the water cannot get hotter than this.

How much does air pressure drop with altitude?

Near sea level it falls by about 12 hPa per 100 m, or 36 hPa (1.07 inHg) over the first 1,000 ft, which is why pilots use a rule of 1 inHg per 1,000 ft. The drop slows with height: pressure halves at about 5.5 km (500 hPa at 5,579 m) and is under a quarter of sea level above 11 km.

Is there less oxygen at high altitude?

The share of oxygen stays at 20.9% of dry air, but each breath holds fewer molecules because the total pressure is lower. The oxygen partial pressure, which drives how much reaches the blood, scales with the pressure ratio: 83.5% of the sea-level value at 1,500 m, 64% in La Paz at 3,640 m, and 31% on the summit of Everest in the standard atmosphere.

Why does my weather app show about 1013 hPa in a mountain town?

Weather reports give pressure reduced to sea level (QNH or mean sea-level pressure) so that maps compare like with like. The actual station pressure in Denver is near 834 hPa in the standard atmosphere. Enter the reported sea-level figure in the Sea-level pressure option to get the station pressure and boiling point for today's weather.

「Air pressure at altitude and boiling point calculator」の精度はどのくらいですか?

精度は入力値と計算方法の前提に依存します。十進演算には有効数字50桁を使いますが、推定、数値計算手法、元データの精度はそれより低い場合があります。表示の丸め処理でこれらの制約がなくなるわけではありません。 独立した出典の解答と照合した計算例:6。 例えば、「1,000 m」はU.S. Standard Atmosphere 1976 table (geometric altitude): 1000 m → 8.9876×10⁴ Pa, 281.651 K, 1.1117 kg/m³と照合しています。

この計算方法の出典は何ですか?

U.S. Standard Atmosphere, 1976 (NOAA/NASA/USAF), NASA-TM-X-74335; IAPWS R7-97(2012) — IAPWS-IF97, region 4 saturation-temperature equation.

この計算機について

P=Pb(TbTb+L(H−Hb))g0MR∗L,H=r0hr0+hP = P_b\left(\frac{T_b}{T_b + L(H - H_b)}\right)^{\frac{g_0 M}{R^* L}},\qquad H = \frac{r_0 h}{r_0 + h}

出典

  1. U.S. Standard Atmosphere, 1976 (NOAA/NASA/USAF), NASA-TM-X-74335
  2. IAPWS R7-97(2012) — IAPWS-IF97, region 4 saturation-temperature equation

出典と照合済み

この計算機には、独立した出典の解答を使った計算例が 6 件あります。テストに組み込まれており、ここでも実行できます。

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