Pressure Converter
Convert between Pa, kPa, MPa, bar, psi, atm, Torr, and mmHg. Live gauge shows pressure on a logarithmic scale with atmospheric reference.
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Quick Presets
Pressure Gauge
Logarithmic scale: 1 Pa to 10 MPa
All Equivalent Pressures
Enter a value above to see all equivalents.
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Pressure Units Reference
| Unit | Symbol | = Pascal |
|---|---|---|
| Pascal | Pa | 1 |
| Kilopascal | kPa | 1,000 |
| Megapascal | MPa | 1,000,000 |
| Bar | bar | 100,000 |
| Pounds per sq. inch | psi | 6,894.757 |
| Standard Atmosphere | atm | 101,325 |
| Torr | Torr | 133.322 |
| Millimetres Hg | mmHg | 133.322 |
The quick presets (1 atm, 35 psi (tire), 1 bar, 101325 Pa, 120 mmHg (BP), 10 MPa) cover the most common real-world lookups. Click any preset and every output updates immediately. Use these when you know the context but need the number in a different unit.
What pressure actually measures
Pressure is force divided by area. Push 1 newton of force onto 1 square meter of surface and you have 1 pascal. That’s a tiny amount of pressure — a dollar bill sitting flat on a table exerts about 1 pascal on the surface beneath it.
That’s also why pascals are impractical for most human-scale applications. Atmospheric pressure at sea level is 101,325 Pa. Tire pressure is around 240,000 Pa. Engineers didn’t want to write those numbers constantly, so they invented kPa, MPa, bar, and psi to keep the working numbers manageable.
Pressure = Force ÷ Area
1 Pascal (Pa) = 1 Newton per square meter (N/m²)
Standard atmospheric pressure = 101,325 Pa = 1 atm = 1.01325 bar = 14.696 psi = 760 mmHg = 760 Torr
Everything in the converter is just that 101,325 Pa reference scaled differently. Bar is nearly atmospheric. PSI breaks it into pounds-force per square inch. Torr sets 760 as the atmospheric reference because mercury columns were the original pressure-measuring technology.
The 8 pressure units: what each one is and who uses it
| Unit | Symbol | = Pascals | 1 atm equals | Used in |
|---|---|---|---|---|
| Pascal | Pa | 1 | 101,325 Pa | Science SI base unit, engineering specs |
| Kilopascal | kPa | 1,000 | 101.325 kPa | Weather Meteorology, blood pressure (alt), some tire specs |
| Megapascal | MPa | 1,000,000 | 0.101325 MPa | Engineering Hydraulics, concrete strength, tensile testing |
| Bar | bar | 100,000 | 1.01325 bar | Industry European tire pressure, diving, meteorology |
| Pounds per sq. inch | psi | 6,894.757 | 14.696 psi | Industry US/UK tire pressure, hydraulics, gas cylinders |
| Standard atmosphere | atm | 101,325 | 1.000 atm | Science Chemistry, scuba diving depth, STP conditions |
| Torr | Torr | 133.322 | 760.002 Torr | Vacuum Vacuum technology, gas pressure in labs |
| Millimetres of mercury | mmHg | 133.322 | 760.002 mmHg | Medical Blood pressure, barometers, ophthalmology |
Torr and mmHg are numerically almost identical (they differ by about 0.000014%) because Torr was originally defined as 1 mmHg. The formal definitions diverged slightly in the 20th century but the practical difference is invisible for any real-world measurement.
The pressure gauge: reading the logarithmic scale
The gauge in the calculator uses a logarithmic scale from 1 Pa to 10 MPa. This is deliberate. If it used a linear scale, a tire at 240 kPa and atmospheric pressure at 101 kPa would sit close together while a hydraulic press at 5 MPa would be off the right edge of the gauge. Logarithmic scaling compresses the huge range of real-world pressures into something visually readable.
The orange dot on the gauge marks 1 atm / 1 bar simultaneously. They’re close enough that on a logarithmic scale they sit on top of each other visually (1 atm is 101,325 Pa; 1 bar is 100,000 Pa, a 1.3% difference). The needle shows where your input pressure sits relative to those anchors.
The quick presets and what they represent
Conversion formulas: how each unit relates to Pascal
Pascal is the SI base unit, so every other unit converts through it. The converter uses Pascal as the internal pivot: any input converts to Pa first, then from Pa to the target unit.
All conversions through Pascal:
| From | Multiply by | To get Pa |
|---|---|---|
| kPa | × 1,000 | Pa |
| MPa | × 1,000,000 | Pa |
| bar | × 100,000 | Pa |
| psi | × 6,894.757 | Pa |
| atm | × 101,325 | Pa |
| Torr | × 133.322 | Pa |
| mmHg | × 133.322 | Pa |
To convert FROM Pa to any unit, divide by the same factor.
Converting 35 psi to kPa:
35 psi × 6,894.757 = 241,316 Pa
241,316 Pa ÷ 1,000 = 241.316 kPa
The converter’s formula line shows this as: kPa = psi × 6.894757 → 35.000 psi = 241.316 kPa
Converting 120 mmHg to Pa (blood pressure):
120 mmHg × 133.322 = 15,998.6 Pa = 15.999 kPa = 0.1600 bar
At that pressure, blood pushes against arterial walls with about 0.16% of 1 MPa. It’s a small force in engineering terms, but the human cardiovascular system moves roughly 5 liters of blood per minute at that pressure.
The “all equivalent pressures” output panel
When you expand “All Equivalent Pressures” in the calculator, it shows all 8 units simultaneously. For 101,325 Pa (1 atm), the panel displays:
| Unit | Symbol | Value at 1 atm | Context |
|---|---|---|---|
| Pascals (from) | Pa | 101,325.000 Pa | The exact definition of 1 atm |
| Kilopascals | kPa | 101.3250 kPa | Used in weather forecasts and tire specs outside the US |
| Megapascals | MPa | 1.0132e-1 MPa | Scientific notation because MPa is large relative to 1 atm |
| Bar | bar | 1.013250 bar | 1 atm is 1.3% above 1 bar |
| Pounds per sq. inch (to) | psi | 14.69595 psi | The "14.7 psi" approximation widely used in the US |
| Standard atmospheres | atm | 1.000000 atm | Exactly 1, by definition |
| Torr | Torr | 760.0021 Torr | Vacuum work: lower Torr = better vacuum |
| Millimetres of mercury | mmHg | 760.0021 mmHg | Blood pressure: 120/80 mmHg is the standard healthy reference |
The 1.0132e-1 MPa display uses scientific notation because 0.101 MPa is below 1, and scientific notation is standard for values that small in engineering contexts. The same pressure in kPa is the more human-readable 101.325.
Where each unit actually lives in the real world
Gauge pressure vs. absolute pressure: the distinction that matters
The converter works with absolute pressure: the total pressure including atmospheric. But many instruments in the real world display gauge pressure: pressure above atmospheric.
A tire gauge reading 35 psi is gauge pressure. The actual absolute pressure in the tire is 35 + 14.7 = 49.7 psi absolute. When engineers write “psia,” they mean absolute. When they write “psig” or just “psi” in a pressure gauge context, they mean gauge (above atmospheric).
This distinction matters when you’re working with calculations involving gas laws. Boyle’s Law and the ideal gas law require absolute pressure. Using gauge pressure in those formulas gives wrong answers.
Absolute pressure = Gauge pressure + Atmospheric pressure
Absolute pressure = Gauge pressure + 101,325 Pa
or in psi: P_abs = P_gauge + 14.696 psi
Tire pressure in a gas law calculation:
Your tire reads 35 psi on the gauge at 20°C. Temperature drops to -10°C overnight. What’s the new pressure?
First, convert to absolute: 35 + 14.696 = 49.696 psia
Gas law: P2 = P1 × (T2/T1) = 49.696 × (263/293) = 44.6 psia
Gauge reading the next morning: 44.6 - 14.696 = 29.9 psi
That’s why tires look low in cold weather. The air contracted. The pressure dropped. The converter shows you absolute pressure; subtract 14.696 psi (or 101.325 kPa) to get gauge pressure for whatever your instrument reads.
Pressure at altitude: why your ears pop on planes
Atmospheric pressure drops with altitude because there’s less air above you pushing down. At 10,000 meters (cruising altitude for commercial aircraft), outside pressure is about 26,500 Pa: roughly 26% of sea-level pressure.
| Altitude | Pressure (Pa) | In kPa | In psi | % of sea level |
|---|---|---|---|---|
| Sea level | 101,325 | 101.3 kPa | 14.70 psi | 100% |
| 1,000 m (mountain town) | 89,874 | 89.9 kPa | 13.04 psi | 88.7% |
| 3,000 m (high altitude) | 70,108 | 70.1 kPa | 10.17 psi | 69.2% |
| 8,849 m (Everest summit) | 31,390 | 31.4 kPa | 4.55 psi | 31.0% |
| 10,668 m (cruising altitude) | 26,500 | 26.5 kPa | 3.84 psi | 26.2% |
Aircraft cabins are pressurized to the equivalent of about 1,800-2,400 meters altitude (75-80 kPa), not sea level, because maintaining full atmospheric pressure in a metal tube at altitude would require a much heavier and more expensive airframe. Your ears pop when the cabin pressure adjusts because the air pressure in your middle ear equalized to a different value than the cabin air pressure surrounding you.
Common conversion errors and how to avoid them
Bar vs. atmosphere. They’re close (1 bar = 0.9869 atm) but not the same. Using bar when atm is required in a calculation introduces a 1.3% error. That’s fine for tire pressure. In a pressurized gas calculation for a storage vessel, it matters.
Gauge vs. absolute. Covered above, but worth repeating: mixing gauge and absolute pressure in gas law calculations produces results that can be off by 15% or more for low-pressure applications.
psi is not universal. In the US, psi defaults to gauge pressure (psig) in everyday contexts like tire inflation and steam boilers. In scientific and aerospace contexts, psi typically means absolute (psia). The abbreviation alone doesn’t tell you which one. Check the context or the instrument’s documentation.
Hectopascals and millibars. Weather reports use hPa. Some older instruments use mbar. They’re identical numbers: 1 hPa = 1 mbar = 100 Pa. If you’re converting a weather pressure to compare with a different measurement, you can drop the hecto/milli prefix and just work in Pa by multiplying by 100.
The 1954 hurricane "Hazel" had a central pressure of 938 mbar. In modern units, that's 938 hPa, or 93,800 Pa, about 7.4% below standard atmospheric pressure. The pressure difference between the hurricane's eye and the surrounding atmosphere drives the wind. A deeper eye, lower pressure drop, faster winds.
Reading the formula line in the converter
Every conversion the calculator makes shows its work in a formula line directly below the input fields. For 101325 Pa to psi, it displays:
psi = Pa ÷ 6894.757 → 101325.000 Pa = 14.69595 psi
This line has 3 parts: the mathematical relationship (psi = Pa ÷ 6894.757), the arrow showing direction of conversion, and the specific numerical result. If you’re verifying a manual calculation or documenting a conversion in a report, copy the formula line. It shows the conversion factor used and the precise result to 5 decimal places.
For engineering documentation, the conversion factor matters as much as the result. Saying “35 psi = 241.3 kPa” is useful for reference. Saying “35 psi × 6.894757 = 241.32 kPa” is useful for checking someone else’s math. The formula line gives you both in one place.
Frequently Asked Questions
What is 1 atmosphere in psi?
One standard atmosphere (atm) = 101,325 Pa = 14.6959 psi ≈ 14.7 psi. This is often rounded to "14.7 psi" in engineering. One atm is the average air pressure at sea level. It is also equal to 1.01325 bar, 760 mmHg (Torr), and 760 Torr.
What is the correct tire pressure in psi and bar?
Most passenger car tires are inflated to 30–35 psi (2.1–2.4 bar). The recommended pressure is printed on a sticker inside the driver's door jamb, not on the tire sidewall (which shows the maximum pressure). Check cold — pressure rises ~4 psi when warm. For trucks and SUVs, 35–45 psi (2.4–3.1 bar) is common.
What is the difference between gauge pressure and absolute pressure?
Absolute pressure = gauge pressure + atmospheric pressure. Gauge pressure (psig, barg) measures pressure relative to the surrounding atmosphere. A "flat" tire reads 0 psig but still has ~14.7 psia (atmosphere inside). Tire gauges measure gauge pressure. Vacuum pressure is negative gauge pressure. This converter works with absolute pressures.
What is a Pascal?
The Pascal (Pa) is the SI unit of pressure = 1 Newton per square metre (N/m²). Normal atmospheric pressure is 101,325 Pa. The Pascal is named after Blaise Pascal. Everyday pressures are usually expressed in kilopascals (kPa) or megapascals (MPa). Hydraulic systems: 5–35 MPa. Human blood pressure: 10–16 kPa. Sound pressure: micropascals (µPa).
What is a bar vs psi?
1 bar = 100,000 Pa = 14.5038 psi. The bar is close to — but slightly less than — one atmosphere (1 atm = 1.01325 bar). Bar is widely used in Europe for tire pressure, weather, diving, and industrial pressure. The millibar (mbar) is used in meteorology: standard atmospheric pressure = 1013.25 mbar.
What is mmHg (Torr) used for?
mmHg (millimetres of mercury) = Torr, used primarily in medicine and vacuum technology. Blood pressure: normal systolic ~120 mmHg, diastolic ~80 mmHg. Atmospheric pressure: 760 mmHg at sea level. Vacuum systems: rough vacuum is 1–760 Torr; high vacuum is 10⁻³–1 Torr; ultra-high vacuum is below 10⁻⁹ Torr. 1 Torr = 133.322 Pa exactly.
What pressure does a human body experience during deep sea diving?
Pressure increases by 1 atm (14.7 psi / 101.3 kPa / 1 bar) for every 10 metres of water depth. At 30 m: 4 atm = 58.8 psi. At 100 m: 11 atm ≈ 162 psi. Recreational diving limit: 40 m (5 atm). The deepest ocean (Mariana Trench at 10,994 m) has a pressure of about 1,086 atm = 15,960 psi = 109.9 MPa.
What pressure is used in hydraulic systems?
Light-duty hydraulic systems (car brakes, power steering) operate at 10–20 MPa (1450–2900 psi). Medium-duty industrial systems: 20–35 MPa. Heavy-duty construction equipment: 35–50 MPa (5000–7250 psi). Hydraulic presses for metalworking: up to 700 MPa (100,000 psi). The highest-pressure hydraulic systems in aerospace can reach 50+ MPa.
How is blood pressure measured?
Blood pressure is measured in mmHg using a sphygmomanometer. It is expressed as systolic/diastolic (e.g. 120/80 mmHg). Systolic = peak pressure when heart contracts; diastolic = pressure when heart relaxes. Normal: <120/80; Elevated: 120-129/80; High Stage 1: 130-139/80-89; High Stage 2: ≥140/≥90; Crisis: ≥180/≥120 (seek emergency care).
What is the pressure at the center of the Earth?
The pressure at the center of the Earth is estimated at about 360 GPa (360,000 MPa = 3,553,000 atm = 52.2 million psi). This extreme pressure, combined with temperatures of ~5,100°C, keeps the inner core solid despite temperatures above the normal melting point of iron. Laboratory diamond anvil cells can replicate pressures up to ~400 GPa.