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mmHg to kilopascals

Convert mmHg to kilopascals. Multiply by 0.133322, with a blood pressure table and why mmHg is not exactly 1/760 of an atmosphere.

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The formula

kPa = mmHg × 0.133322387415

A millimetre of mercury is the pressure exerted by a one-millimetre column of mercury at its standard density under standard gravity: 13,595.1 kg/m³ × 9.80665 m/s² × 0.001 m = 133.322387415 Pa exactly.

mmHg is not exactly one 760th of an atmosphere

That is the torr, and the two are not the same unit:

1 torr  = 101,325 / 760 = 133.322368… Pa   (defined from the atmosphere)
1 mmHg  =                 133.322387415 Pa (defined from mercury)
760 mmHg = 101,325.014 Pa, not 101,325

The gap is 14 parts per million. It is invisible in medicine and real in precision vacuum metrology, which is why both units survive with almost identical values. This converter uses mmHg.

Blood pressure

The reason this conversion is looked up. Blood pressure is reported in mmHg essentially everywhere, but physiology papers and some European hospitals use kPa:

mmHgkPa
9012.0low systolic
10013.3
11014.7
12016.0normal systolic
13017.3elevated
14018.7stage 1 hypertension threshold
16021.3stage 2
18024.0urgent
608.0normal diastolic
8010.7normal diastolic, upper
9012.0diastolic hypertension threshold

A reading of 120/80 mmHg is 16.0/10.7 kPa.

Mercury sphygmomanometers are being withdrawn for environmental reasons, but the unit has outlived the instrument: digital monitors report mmHg because that is what the thresholds are written in, not because anything inside them contains mercury.

Quick reference

mmHgkPapsibar
1 mmHg0.1330.0190.0013
10 mmHg1.330.1930.0133
100 mmHg13.331.9340.1333
500 mmHg66.669.6690.6666
760 mmHg101.3314.6961.0133
1000 mmHg133.3219.3371.3332

Vacuum

Below atmospheric, mmHg and torr remain the working units, alongside the millitorr:

mmHg / torrkPa
Atmosphere760101.325
Rough vacuum253.33
Medium vacuum0.10.0133
High vacuum10⁻⁶1.33 × 10⁻⁷

Freeze-drying, rotary evaporation and vacuum distillation all quote pressures in mbar or torr, and a rotovap running at “20 mbar” is at 15 torr.

Estimating in your head

Divide by 7.5. 120 ÷ 7.5 is exactly 16.0 kPa, which happens to be the exact answer. The factor is 0.1333, so a third of the number, shifted two places, is always close.