How to convert a pressure value

The workbench converts between thirteen pressure units: bar, kilopascal, hectopascal, millibar, pascal, standard atmosphere, millimetre of mercury, pound-force per square foot, pound-force per square inch, inch of mercury, kilogram-force per square centimetre, kilogram-force per square metre and millimetre of water column. Every row converts through the pascal with a fixed definition, so the same input always gives the same output.

Everything runs in this browser tab. Nothing is uploaded, and the page keeps converting after the network drops, which matters when the value belongs to a test rig, a pipeline or a patient.

  1. Type the number you have into the row of its unit - 2.5 in the bar row, for example.
  2. The other twelve rows fill in as you type. There is no Convert button and nothing to submit.
  3. Type a minus sign for gauge or differential pressures, for example -0.5 in the bar row, and exponent notation for a very small or very large value, for example 1e-3.
  4. Press Reset all to empty every row, or clear the row you are working in and the other rows clear with it. Anything the browser cannot read as a number is reported in the line under the rows: a comma used as a decimal point, letters, or two decimal points.

Definitions, digits and where these numbers are used

The thirteen units and the definitions behind them

Each row is a fixed multiple of the pascal, the SI unit of pressure and the unit this page converts through. One bar is 100 000 Pa and one millibar is 100 Pa, so 1 000 mbar make a bar; one standard atmosphere is exactly 101 325 Pa. The imperial rows follow the exact definitions of the pound and the inch: one pound-force per square inch is 6 894.757293168 Pa, a pound-force per square foot is a 144th of that, and an inch of mercury is exactly 25.4 times the conventional millimetre of mercury of 133.322387415 Pa.

The two kilogram-force rows use standard gravity, 9.80665 m/s²: 1 kgf/cm² is 98 066.5 Pa and 1 kgf/m² is 9.80665 Pa - the same magnitude as a millimetre of water column, which is why those two rows always show the same number. Where one unit is defined through another, the rows keep the exact ratio: 32 psi reads as 4 608 lbf/ft², 1 inHg as 25.4 mmHg and 1 kgf/m² as 1 mmH₂O. A torr is not one of the rows and is not identical to the millimetre of mercury used here: a torr is exactly 101 325 / 760 Pa = 133.3223684211 Pa, so 760 torr are 101 325 Pa while 760 mmHg are 101 325.01 Pa.

Reading the result: fifteen digits, exponent form, and the field you type in

Results are rounded to fifteen significant digits, the point where an IEEE 754 double stops carrying information, so no digit is invented and none of the sixteen-digit noise of floating-point arithmetic is printed. Values below 0.000001 and values at or above 1 000 000 000 000 000 are written in exponent form, where they are shorter than a row of zeros.

The row you are typing in is never reformatted under the cursor; the other rows are. If a whole number has more digits than the browser can hold exactly - the limit is 9 007 199 254 740 991 - the status line says so instead of letting the last digit look reliable. A value with no digit before the point (.5) and one with a trailing point (5.) are both accepted.

Where these numbers are used

Weather and aviation report surface pressure in hectopascal or millibar, with 1 013.25 mbar for a standard atmosphere, while altimeter settings in North America are given in inches of mercury (29.92 inHg is about 1 013.2 hPa). Blood pressure is read in millimetres of mercury, where 120 mmHg is 16.0 kPa. Gas installation work in Europe is checked in millibar, where 20 mbar is 2 kPa.

Workshops and industry work in bar and psi: 2.2 bar is about 31.9 psi, and a 200-bar scuba cylinder holds roughly 2 900 psi. Hydraulic and pneumatic drawings are dimensioned in bar or kgf/cm², and ventilation work is measured in pascal or millimetres of water column. A gauge reads relative to the atmosphere, so its value is a gauge pressure: the tool converts the number as entered and never adds or subtracts atmospheric pressure for you.

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