Understanding the pressure converter — concept and principle
This converter changes a pressure value between pascals, kilopascals, megapascals, bar, millibar (hPa), standard atmospheres, kgf/cm², psi, torr, mmHg, mmH₂O, inH₂O, inHg and microns. Use it for tyre and gas-cylinder pressures, hydraulic and pneumatic specifications, weather reports, vacuum work or blood-pressure units.
How it is calculated
Every unit goes through the SI unit, the pascal (1 Pa = 1 N/m²):
result = value × (pascals per "from" unit) ÷ (pascals per "to" unit)
- 1 kPa = 1,000 Pa; 1 MPa = 10⁶ Pa; 1 bar = 100,000 Pa; 1 hPa = 1 mbar = 100 Pa.
- 1 atm = 101,325 Pa exactly; 1 torr = 101,325 ÷ 760 Pa.
- 1 kgf/cm² = 98,066.5 Pa; 1 psi = 6,894.757293 Pa.
- Conventional mmHg and mmH₂O are defined with standard gravity (9.80665 m/s²).
The principle
Pressure is force divided by area. Different fields picked different forces and areas: newtons per square metre (Pa), pound-force per square inch (psi), kilogram-force per square centimetre (kgf/cm²). Liquid-column units such as mmHg come from the height of mercury or water that the pressure can hold up, using p = ρgh. The bar was chosen as a round 100 kPa, close to atmospheric pressure, so 1 bar ≈ 0.987 atm ≈ 1.02 kgf/cm².
Worked example
Default inputs: 1 bar to kilopascals.
- Convert to pascals: 1 bar = 100,000 Pa.
- Divide by the size of 1 kPa (1,000 Pa): 100,000 ÷ 1,000 = 100 kPa.
- The same 1 bar is 0.1 MPa, 1,000 hPa, 100,000 ÷ 101,325 = 0.9869232667 atm, 100,000 ÷ 6,894.757293 = 14.50377377 psi and 100,000 ÷ 98,066.5 = 1.019716213 kgf/cm².
How to read the result
Mean sea-level air pressure is about 1,013 hPa. Car tyres are typically around 200–250 kPa above atmospheric, and household water supply a few bar. Many gauges read gauge pressure (above atmospheric) rather than absolute pressure; absolute = gauge + local atmospheric pressure. Torr and mmHg differ by only about one part in seven million, so they can be treated as equal in practice.
Common mistakes
- Mixing gauge and absolute pressure, especially with vacuum or gas laws.
- Treating kgf/cm² as exactly equal to bar or atm; they differ by about 2%.
- Converting MPa to N/mm² as if they differed; they are the same unit.
- Treating hPa values in weather reports as gauge pressure; they are absolute.
Frequently asked questions
How many kPa are in 1 bar?
100 kPa.
How many MPa is 1 bar?
0.1 MPa.
Is 1 bar the same as 1 atmosphere?
Nearly. 1 atm is 1.01325 bar.
What is kgf/cm² in bar?
1 kgf/cm² = 0.980665 bar.
Sources: BIPM, The International System of Units (SI Brochure), 9th edition · NIST Special Publication 811 (2008), Appendix B