Bar to Pascal Converter
Our free force pressure & torque converter handles bar pascal conversions. See tables, ratios, and examples for quick reference.
Bar to Pascal Converter
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Formula: Pa = bar x 100000 | 1 mbar = 100 Pa | 1 bar = 0.986923 atm
Worked example โ 150 bar = 15,000,000 Pa = 15 MPa = 2,175.57 PSI
Formula
Pa = bar x 100000 | 1 mbar = 100 Pa | 1 bar = 0.986923 atm
One bar equals exactly 100,000 pascals. The bar is a convenient metric pressure unit close to standard atmospheric pressure. One millibar (mbar) equals 100 Pa or 1 hectopascal (hPa). Key conversion: 1 bar = 14.5038 PSI = 750.062 mmHg = 0.986923 atm.
Worked Examples
Example 1: Hydraulic System Pressure
Problem:A hydraulic press operates at 150 bar. What is this in pascals and PSI?
Solution:Pascals: 150 x 100,000 = 15,000,000 Pa Megapascals: 15,000,000 / 1,000,000 = 15 MPa PSI: 15,000,000 / 6,894.76 = 2,175.57 PSI Atmospheres: 15,000,000 / 101,325 = 148.04 atm
Result:150 bar = 15,000,000 Pa = 15 MPa = 2,175.57 PSI
Example 2: Weather Barometric Pressure
Problem:The barometric pressure is 1023 millibar. Convert to other units.
Solution:Pascals: 1023 x 100 = 102,300 Pa Bar: 1023 / 1000 = 1.023 bar Atmospheres: 102,300 / 101,325 = 1.0096 atm mmHg: 102,300 / 133.322 = 767.31 mmHg
Result:1023 mbar = 102,300 Pa = 1.023 bar = 1.01 atm
Frequently Asked Questions
How many pascals are in one bar?
One bar equals exactly 100,000 pascals (100 kPa). The bar is a metric unit of pressure that is slightly less than one standard atmosphere (1 atm = 101,325 Pa = 1.01325 bar). The bar is widely used in meteorology (as millibar or hectopascal), industrial pressure gauges, and scuba diving depth measurements. Its convenient relationship to pascals makes it easy to convert: simply multiply bar by 100,000 to get pascals.
What is the difference between bar and atm?
One bar equals 100,000 pascals while one atmosphere equals 101,325 pascals, making 1 atm approximately 1.01325 bar. The difference is about 1.3%. In many practical applications this difference is negligible, but in precise scientific work it matters. The bar was introduced as a convenient metric unit close to atmospheric pressure. Weather maps often use millibars (1 mbar = 100 Pa = 1 hectopascal) where standard sea-level pressure is about 1013.25 mbar.
When is bar used instead of pascal?
Bar is preferred over pascal when dealing with pressures near atmospheric level because the numbers are more convenient. A tire at 2.5 bar is easier to express than 250,000 Pa. Industry uses bar for hydraulic systems, compressed gas cylinders, and process engineering. Meteorologists use millibar (identical to hectopascal) for weather reporting. Scuba divers use bar to express tank pressure and depth pressure. Pascals and kilopascals are more common in scientific research and material strength specifications.
How do I convert millibar to other pressure units?
One millibar equals 100 pascals, 0.001 bar, or 1 hectopascal (hPa). To convert millibar to atmospheres, divide by 1013.25. To convert to PSI, divide by 68.9476. To convert to mmHg, divide by 1.33322. Standard atmospheric pressure is 1013.25 mbar. Weather reports typically show pressure in millibars, with high pressure systems above 1013 mbar and low pressure systems below it.
What is a pascal expressed in SI base units?
The pascal is defined as one newton of force distributed over one square meter, so 1 Pa = 1 N/m2, and in SI base units that is kg per meter per second squared. Because a pascal is such a small amount of pressure, everyday values become unwieldy: standard atmospheric pressure is 101,325 Pa. That is exactly why engineers reach for kilopascals, megapascals, or bar, all of which are just decimal multiples of the same base unit.
What is the difference between gauge pressure and absolute pressure in bar?
Gauge pressure, written bar(g) or barg, is measured relative to the surrounding atmosphere, so an open vessel reads zero. Absolute pressure, bar(a), is measured from a perfect vacuum. The two differ by ambient atmospheric pressure, roughly 1.013 bar at sea level, so absolute equals gauge plus about 1.013 bar. A tire gauge showing 2.2 bar therefore holds about 3.2 bar absolute. This converter changes the magnitude of a pressure, not its reference datum, so decide which datum your reading uses before converting.
How does bar relate to megapascals on material and hydraulic data sheets?
One megapascal equals exactly 10 bar, because 1 MPa is 1,000,000 Pa and 1 bar is 100,000 Pa. A megapascal is also identical to one newton per square millimeter, which is why stress and material strength figures are usually quoted in MPa. Hydraulic circuits, by contrast, are commonly rated in bar. To move between the two conventions, divide bar by 10 for MPa or multiply MPa by 10 for bar: a 350 bar pump rating is 35 MPa.
Why does pressure increase by about one bar for every 10 meters of seawater?
Hydrostatic pressure follows p = rho x g x h, where rho is fluid density, g is gravitational acceleration of 9.80665 m/s2, and h is depth. For seawater at roughly 1025 kg/m3, ten meters gives 1025 x 9.80665 x 10, which is about 100,500 Pa, or almost exactly 1 bar. Divers add the surface atmosphere on top, so absolute pressure at 30 m is roughly 4 bar. Fresh water is slightly less dense, so the same rule is a small overestimate in a lake.
Is a torr the same thing as a millimeter of mercury?
For practical purposes yes, though they are defined differently. One torr is defined as 1/760 of a standard atmosphere, which works out to 133.3224 Pa. The conventional millimeter of mercury is defined from a mercury density of 13,595.1 kg/m3 under standard gravity, giving 133.3224 Pa as well. The two agree to better than one part in a million, far below the resolution of any ordinary instrument. Vacuum engineering tends to use torr, while barometry and blood pressure use mmHg.
How do I convert bar to PSI quickly without a calculator?
Multiply bar by 14.5 for a close estimate; the exact factor is 14.5038, since 100,000 Pa divided by 6,894.76 Pa per PSI gives that value. A tire specified at 2.4 bar is therefore about 34.8 PSI. Going the other way, divide PSI by 14.5. PSI is pounds-force per square inch, the US customary unit, so you will meet it on American tire placards, compressor gauges, and plumbing fittings, while bar dominates European and industrial equipment.
References
Background & Theory
1 bar = 100,000 pascals exactly, and 1 millibar = 100 pascals = 1 hectopascal. Both are definitions, so this whole family of conversions is exact - the bar is defined directly in terms of the pascal rather than measured against it.
Conversion reference table
| Conversion | Equivalent | Exact or rounded? |
|---|---|---|
| 1 bar | 100,000 pascals | Exact by definition |
| 1 millibar | 100 pascals = 1 hectopascal | Exact |
| 1 bar | 0.986923267 standard atmospheres | Derived, rounded |
| 1 bar | 750.061683 millimetres of mercury | Derived, rounded |
| 1 standard atmosphere | 1.01325 bar = 101,325 Pa | Exact |
| 1 bar | 14.5037738 psi | Derived, rounded |
Meteorologists switched from millibars to hectopascals without changing a single printed number, because the two are identical by definition - a 1,013 mb sea-level pressure is 1,013 hPa. Underwater, each 10 m of seawater adds close to 1 bar, since 1,025 kg/m3 times 9.80665 m/s2 times 10 m is about 100,500 Pa, which is why divers can treat depth in tens of metres as bars of gauge pressure.
Reviewed for accuracy by Manoj Kumar, Mathematics Educator ยท Editorial policy
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