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:
| mmHg | kPa | |
|---|---|---|
| 90 | 12.0 | low systolic |
| 100 | 13.3 | |
| 110 | 14.7 | |
| 120 | 16.0 | normal systolic |
| 130 | 17.3 | elevated |
| 140 | 18.7 | stage 1 hypertension threshold |
| 160 | 21.3 | stage 2 |
| 180 | 24.0 | urgent |
| 60 | 8.0 | normal diastolic |
| 80 | 10.7 | normal diastolic, upper |
| 90 | 12.0 | diastolic 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Mercury sphygmomanometers are being withdrawn for environmental reasons, but the unit has outlived the instrument: digital monitors report mmHg because that is what the thresholds are written in, not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
| mmHg | kPa | psi | bar |
|---|---|---|---|
| 1 mmHg | 0.133 | 0.019 | 0.0013 |
| 10 mmHg | 1.33 | 0.193 | 0.0133 |
| 100 mmHg | 13.33 | 1.934 | 0.1333 |
| 500 mmHg | 66.66 | 9.669 | 0.6666 |
| 760 mmHg | 101.33 | 14.696 | 1.0133 |
| 1000 mmHg | 133.32 | 19.337 | 1.3332 |
Vacuum
Below atmospheric, mmHg and torr remain the working units, alongside the millitorr:
| mmHg / torr | kPa | |
|---|---|---|
| Atmosphere | 760 | 101.325 |
| Rough vacuum | 25 | 3.33 |
| Medium vacuum | 0.1 | 0.0133 |
| High vacuum | 10⁻⁶ | 1.33 × 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.