Boiling Point at Altitude Calculator
ChemistryCalculate water boiling point at any altitude from sea level to 8,849 m (Everest). Uses barometric pressure and Clausius-Clapeyron equation for accurate results.
Boiling Point (°C)
What is a BP at Altitude?
The Boiling Point at Altitude Calculator computes the temperature at which water boils at any altitude from sea level to the summit of Mount Everest (8,849 m). It first converts altitude to atmospheric pressure using the barometric formula, then applies the Clausius-Clapeyron equation with water's enthalpy of vaporisation (ΔHvap = 40.7 kJ/mol) to find the boiling point at that reduced pressure.
At sea level (0 m), water boils at 100°C because its vapour pressure equals standard atmospheric pressure (760 mmHg) at that temperature. At altitude, atmospheric pressure decreases exponentially — at 3,500 m (Leh, Ladakh), pressure is about 490 mmHg, and water boils at about 87°C. The 13°C reduction has real consequences: pulses, rice, and pasta cook significantly slower at lower boiling temperatures; medical sterilisation by boiling is unreliable; and tea brewed below 85°C is noticeably weaker.
For the general case of finding a liquid's boiling point at any pressure, use the Boiling Point Calculator. For the related problem of finding vapour pressure at a given temperature, use the Vapor Pressure Calculator. For water specifically at any temperature from 0–374°C, the Vapor Pressure of Water Calculator gives the saturation pressure using the Antoine equation.
How to use this BP at Altitude calculator
- Enter your altitude in metres in the Altitude field. Slide the control from 0 m (sea level) to 8,849 m (Everest summit). Common references: Shimla = 2,205 m; Manali = 2,050 m; Leh = 3,500 m; Darjeeling = 2,050 m; Ooty = 2,240 m.
- Read Boiling Point (°C) — the temperature at which water boils at that altitude under open-air conditions.
- Compare to 100°C: if the boiling point is more than 5°C below 100°C (above ~1,500 m), consider using a pressure cooker for cooking dal, rice, and pulses.
- Note Atmospheric Pressure (mmHg) — subtract from 1520 mmHg (2 atm) to understand how much additional gauge pressure your pressure cooker or autoclave must supply to achieve 121°C sterilisation temperature.
- For other liquids, take the computed pressure in mmHg to the Boiling Point Calculator and enter it as the target pressure with your liquid's ΔHvap.
Formula & Methodology
Step 1 — Barometric formula:P = P₀ × (1 − 2.2557 × 10⁻⁵ × h)^5.25588 P₀ = 101,325 Pa, h = altitude in metresStep 2 — Clausius-Clapeyron (solved for T₂):1/T₂ = 1/T₁ − (R / ΔHvap) × ln(P / P₁) T₂ = 1 / [1/T₁ − (R / ΔHvap) × ln(P / P₁)]Where: T₁ = 373.15 K (100°C), P₁ = 101,325 Pa, ΔHvap = 40,700 J/mol, R = 8.314 J/(mol·K) Worked example — Leh, Ladakh (3,500 m):P = 101325 × (1 − 2.2557×10⁻⁵ × 3500)^5.256 = 101325 × (0.9210)^5.256 = 101325 × 0.644 = 65,253 Pa = 489.3 mmHg 1/T₂ = 1/373.15 − (8.314/40700) × ln(65253/101325) = 0.002680 − 0.0002043 × (−0.4401) = 0.002680 + 0.0000899 = 0.002770 T₂ = 1/0.002770 = 361.0 K = 87.9°C ≈ 88°CAt Leh's altitude, water boils at approximately 88°C — 12°C below sea-level. Dal and rajma require 40–50% longer cooking time than at sea level; a pressure cooker rated at 1 bar gauge (2 bar absolute at sea level) will produce about 115°C inside at Leh altitude, restoring adequate cooking temperatures.
Frequently Asked Questions