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Atmospheres to Inches of Mercury Converter

↔ Convert inHg to atm instead

Common Conversions

atm inHg
0.01 0.299
0.1 2.992
0.25 7.48
0.5 14.961
1 29.921
2 59.843
5 149.607
10 299.213
25 748.033
50 1496.07
100 2992.13
1000 29921.3

Why this conversion matters in chemistry

Inches of mercury is the unit a US weather report uses for barometric pressure (sea-level standard is 29.92 inHg) and the one HVAC engineers reach for when sizing duct pressures. In a chemistry lab the practical use case is barometric corrections to boiling-point work. A barometer reading of 28.5 inHg, equivalent to 0.952 atm, drops water's observed boiling point to about 98.6 °C — a noticeable shift when calibrating a thermometer against the steam point. Multiplying by 29.9213 is the conversion that lets a chemistry-textbook atm value land on the inHg gauge that's actually in front of you.

Formula

inHg = atm × 29.9213

Where the factor comes from

The inch of mercury has no independent standing in SI; it is assembled in three moves. Start with the conventional millimeter of mercury, which assigns mercury a density of 13595.1 kg/m³ and gravity the standard value 9.80665 m/s², making 1 mmHg = 133.322387 Pa. Multiply by the international inch, exactly 25.4 mm, and 1 inHg = 3386.3886 Pa. Divide the atmosphere by that: 101325 ÷ 3386.3886 = 29.92126 inHg. The inch is exact and standard gravity is exact, but the density figure is an assigned convention rather than a measurement of the mercury sitting in anyone's barometer. So the factor is exact in the sense that everyone agreed on the same reference fluid — not in the sense that a real column obeys it.

Precision and significant figures

Six figures, 29.9213, already exceeds what any barometer justifies, and the seventh is genuinely ambiguous: building the inch from the conventional mercury millimeter gives 29.921256, while building it from the torr gives 29.921260. Nothing at a bench distinguishes those. Temperature swamps all of it. Mercury expands roughly 1.8 parts in 10⁴ per kelvin, so a barometer sitting in a 25 °C room carries about 0.13 inHg of uncorrected error against its 0 °C reference — four orders of magnitude past the definitional ambiguity, which is why mercury barometry is always quoted with a temperature correction attached. Aneroid and digital barometers report to 0.01 inHg, and that hundredths place is the honest working resolution.

Worked Examples

1 atm = 29.921 inHg

Standard sea-level atmospheric pressure — the value behind every barometric correction in a calorimetry or distillation calibration.

0.5 atm = 14.961 inHg

Half an atmosphere — about ambient pressure at 5,500 m elevation, also a moderate vacuum-distillation setting.

2 atm = 59.843 inHg

About the pressure inside a pressurized reaction vessel during a small-scale hydrogenation charge.

0.1 atm = 2.992 inHg

A modest vacuum, the kind a sealed desiccator might hold with a freshly charged anhydrous calcium sulfate desiccant.

Common mistakes

Weather-report inHg is sea-level corrected

A published barometric pressure has usually been reduced to sea level, so it describes a fictitious column beneath your building rather than the air in your fume hood. A lab at 1500 m sits near 25.0 inHg of actual station pressure while the local report still reads close to 29.9. Boiling-point corrections need the station value.

US vacuum gauges read depth, not absolute

Many shop-style gauges are scaled 0 to 30 inHg of vacuum, counting downward from ambient rather than upward from zero. A needle at 25 on such a face means roughly 4.9 inHg absolute, about 0.16 atm — not 25 inHg absolute. Converting the dial number directly overstates the pressure by a factor of five.

Local gravity is not standard gravity

The factor assumes 9.80665 m/s². Real gravity varies with latitude and elevation by a couple of parts per thousand, which on a 29.92 inHg reading is a few hundredths of an inch. Irrelevant for a distillation, but it is why precision barometry quotes a station gravity correction alongside the temperature one.

Frequently Asked Questions

How do I convert atm to inches of mercury?
Multiply by 29.9213. So 1 atm becomes 29.921 inHg, the sea-level barometric reference value most US weather reports anchor on.
What is inches of mercury used for?
US weather reporting and HVAC engineering. In chemistry, the unit shows up mostly in barometric corrections to boiling-point or vapor-pressure measurements, and in older US industrial references that predate the SI shift.
How does inHg relate to mmHg?
Exactly 25.4 mm to the inch, so 1 inHg = 25.4 mmHg. That's why 29.921 inHg works out to 760 mmHg, which is 1 atm — the three units stacked on the same column of mercury.