Elevation to Pressure Converter
Convert elevation pressure between units instantly. Includes conversion tables, common equivalents, and calculation formulas.
Reviewed for accuracy by Manoj Kumar, Mathematics Educator
Elevation to Pressure Converter
Calculator
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Formula: P = P0 x (1 - L*h/T0)^(g*M/(R*L))
Worked example โ At 1,609 m: 83,844 Pa (0.828 atm, 24.76 inHg)
Formula
P = P0 x (1 - L*h/T0)^(g*M/(R*L))
The barometric formula models pressure decrease with altitude. P0 is sea-level pressure (101,325 Pa), L is the lapse rate (0.0065 K/m), h is altitude, T0 is temperature in Kelvin, g is gravity (9.80665 m/s2), M is molar mass of air (0.0289644 kg/mol), and R is the gas constant (8.31447 J/mol/K).
Worked Examples
Example 1: Denver, Colorado
Problem:Calculate atmospheric pressure at Denver (elevation 1,609 m) at 15 degrees C.
Solution:P = 101325 x (1 - 0.0065 x 1609 / 288.15)^5.2559 P = 101325 x (1 - 0.03629)^5.2559 P = 101325 x 0.8274 P = 83,844 Pa = 838.44 hPa
Result:At 1,609 m: 83,844 Pa (0.828 atm, 24.76 inHg)
Example 2: Commercial Aircraft Cabin
Problem:Aircraft cabins are pressurized to about 6,000 feet (1,829 m). What is the cabin pressure?
Solution:Convert 6,000 ft = 1,828.8 m P = 101325 x (1 - 0.0065 x 1828.8 / 288.15)^5.2559 P = 101325 x 0.8106 P = 82,139 Pa
Result:At 6,000 ft: 82,139 Pa (0.811 atm, 11.91 psi)
Frequently Asked Questions
How does elevation affect atmospheric pressure?
Atmospheric pressure decreases with increasing elevation because there is less air above you to exert downward force. The relationship follows an exponential decay described by the barometric formula. At sea level, standard pressure is 101,325 Pa (1 atm). At 1,500 meters (about 5,000 feet), pressure drops to roughly 84,600 Pa. At the summit of Mount Everest (8,849 m), pressure is only about 33,700 Pa, roughly one-third of sea level pressure.
Why does water boil at lower temperatures at higher elevations?
Water boils when its vapor pressure equals the surrounding atmospheric pressure. At higher elevations, atmospheric pressure is lower, so water reaches the boiling point at a lower temperature. At sea level water boils at 100 degrees C, but at Denver (1,600 m) it boils at about 95 degrees C, and at the top of Mount Everest it boils at approximately 70 degrees C. This is why cooking times increase at altitude and why pressure cookers are especially useful in mountainous regions.
How does altitude affect human physiology?
As altitude increases and pressure decreases, the partial pressure of oxygen drops proportionally. At 2,500 meters, oxygen availability is about 74% of sea level, which can cause mild altitude sickness in unacclimatized individuals. At 5,500 meters, it drops to about 50%, making sustained activity very difficult without acclimatization. Above 8,000 meters (the death zone on Everest), oxygen is so scarce that the human body deteriorates rapidly and supplemental oxygen is typically required for survival.
References
Reviewed for accuracy by Manoj Kumar, Mathematics Educator ยท Editorial policy
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