# 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.

Phiên bản tương tác: https://www.calcopenly.com/vi/earth/altitude-air-pressure-boiling-point
Chủ đề: Máy tính thời tiết, Trái Đất và giải trí

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.

## Dữ liệu đầu vào

- **Start from** (lựa chọn: Altitude, Air pressure)
- **Altitude above sea level**
- **Air pressure**
- **Sea-level pressure**: 1013.25 hPa is the standard atmosphere; use today's QNH for a weather-adjusted figure.
- **Sea-level temperature**

## Kết quả

- Air pressure (hPa) — kết quả chính
- Altitude (m)
- Altitude (ft)
- Share of sea-level pressure
- Air temperature (standard atmosphere) (°C)
- Air density (kg/m³)
- Water boils at (°C)
- Water boils at (°F)

## Công thức

$$
P = P_b\left(\frac{T_b}{T_b + L(H - H_b)}\right)^{\frac{g_0 M}{R^* L}},\qquad H = \frac{r_0 h}{r_0 + h}
$$

## Ví dụ có lời giải

### 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**
- Nguồn đối chiếu: 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**
- Nguồn đối chiếu: 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**
- Nguồn đối chiếu: 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**
- Nguồn đối chiếu: Python decimal: inverse troposphere formula gives geopotential 5574.44 m (the ICAO 500 hPa level, 5574 m), converted to geometric height 5579.33 m

### Boiling point at 1000 hPa

- Start from: Air pressure
- Air pressure: 1000 hPa
- **Water boils at: 99.61 °C**
- Nguồn đối chiếu: IAPWS-IF97 verification table: Ts(0.1 MPa) = 372.755919 K = 99.6059 °C

### Boiling point at sea level

- Start from: Altitude
- Altitude above sea level: 0 m
- **Water boils at: 99.97 °C**
- **Air pressure: 1,013.25 hPa**
- Nguồn đối chiếu: IAPWS-IF97 saturation temperature at 101 325 Pa = 373.1243 K (99.974 °C, the ITS-90 boiling point)

## Câu hỏi

### 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” chính xác đến mức nào?

Độ chính xác phụ thuộc vào dữ liệu nhập và giả định của phương pháp. Phép tính thập phân dùng 50 chữ số có nghĩa, nhưng ước lượng, phương pháp số và dữ liệu nguồn có thể kém chính xác hơn; làm tròn khi hiển thị không loại bỏ các giới hạn đó. Ví dụ có lời giải đã đối chiếu với nguồn độc lập: 6. Ví dụ, “1,000 m” được kiểm tra bằng U.S. Standard Atmosphere 1976 table (geometric altitude): 1000 m → 8.9876×10⁴ Pa, 281.651 K, 1.1117 kg/m³.

### Phương pháp này lấy từ đâu?

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

## Nguồn

- [U.S. Standard Atmosphere, 1976 (NOAA/NASA/USAF), NASA-TM-X-74335](https://ntrs.nasa.gov/citations/19770009539)
- [IAPWS R7-97(2012) — IAPWS-IF97, region 4 saturation-temperature equation](http://www.iapws.org/relguide/IF97-Rev.html)