Pa to PSI Converter - pascal to psi in One Step

Use this pa to psi converter to translate pascal readings into pounds per square inch (psi), with kPa, bar, atm, and mmHg cross-check rows in one entry.

Updated: June 13, 2026 • Free Tool

Pa to PSI Converter

Pick the unit you are starting from. The result will use the other unit, and the cross-check rows stay in the same physical unit.

Enter a non-negative number. The unit of this field is set by the direction toggle above.

Results

Converted pressure
0
Pressure in kilopascals 0kPa
Pressure in bar 0bar
Pressure in standard atmospheres 0atm
Pressure in millimeters of mercury 0mmHg

What Is the Pa to PSI Converter?

A pa to psi converter turns a pressure reading in pascals (Pa) into pounds per square inch (psi), and back, in a single step. It uses the fixed relationship that 1 psi equals exactly 6,894.757293168 pascals, so 1 pascal equals 1 ÷ 6,894.757293168 = 0.0001450377377 psi. This covers laboratory vacuum gauges, SI engineering data sheets, gas-law calculations, and any document where one tradition keeps the pascal while the other keeps the psi.

  • SI engineering and lab data: Translate pascal readings from vacuum gauges, material test rigs, and gas-law problems into the psi values used on U.S. test benches, calibration reports, and field instruments.
  • Standard atmosphere and weather reference: Convert 101,325 Pa (the standard atmosphere) into the 14.6959488 psi sea-level figure used in U.S. weather reports, altimeter settings, and aviation references.
  • Tire and pneumatic spec sheets: Move between pascal values printed on OEM technical sheets and the psi values shown on North American tire placards, air-tool nameplates, and regulator gauges.
  • Reverse psi to pascal for SI consistency: Switch the direction toggle to flip a psi gauge reading into pascals, so the rest of a stress or fluid calculation can stay in coherent SI units without retyping the constant.

The pascal is the SI coherent unit of pressure and stress, defined as one newton per square meter. The pound per square inch is a U.S. customary unit defined as exactly 6,894.757293168 pascals. The Pa to psi ratio is fixed at 1 ÷ 6,894.757293168 = 0.0001450377377, with no measurement uncertainty in the factor itself.

When the same pascal reading also needs kPa, MPa, bar, atm, and Torr alongside the psi result, the Pascal Conversion Calculator keeps every common pascal unit in the same result panel.

How the Conversion Works

The conversion is a single exact ratio. The pound per square inch is fixed at 6,894.757293168 pascals, so dividing a pascal value by 6,894.757293168 gives the psi value, and multiplying a psi value by 6,894.757293168 gives the pascal value.

p(psi) = p(Pa) ÷ 6,894.757293168 and p(Pa) = p(psi) × 6,894.757293168
  • p(Pa): Pressure in pascals that you want to convert to pounds per square inch
  • p(psi): Pressure in pounds per square inch (psi) that you want to convert to pascals
  • direction: Toggle that picks Pa → psi or psi → Pa so the same tool handles both directions

When the direction toggle is set to Pa → psi, the calculator divides the input by 6,894.757293168 and reports the answer in psi. The same pascal value then drives the kPa, bar, atm, and mmHg cross-check rows.

Worked example: 101,325 Pa in psi

Start with the standard atmosphere value of 101,325 Pa

Divide by the 6,894.757293168 Pa/psi factor: 101,325 ÷ 6,894.757293168 = 14.6959488 psi

101,325 Pa = 14.6959488 psi = 101.325 kPa = 1.01325 bar = 1 atm = 760 mmHg

Use this result whenever a U.S. weather report or altimeter setting is needed and the source value is given in pascals.

According to NIST SP 811 (Guide for the Use of SI), 1 psi equals exactly 6,894.757293168 pascals, so 1 pascal equals 1 ÷ 6,894.757293168 = 0.0001450377377 psi

For the atmosphere-side cross-check that also reports kPa, mbar, and bar from the same pascal value, the ATM to Pascals Conversion reads the same number against the full atm-to-Pa ladder.

Key Concepts Explained

Four ideas shape this conversion: the pascal as the SI coherent pressure unit, the exact NIST factor for the psi, the very small psi value of one pascal, and the way kPa, bar, atm, and mmHg sit on the same physical scale.

The pascal as the SI coherent unit

The pascal equals one newton per square meter and is the SI coherent unit for pressure and stress. Every other pressure unit can be expressed as an exact number of pascals, which is why the calculator routes every input through pascals first.

The psi as an exact 6,894.757293168 Pa unit

NIST SP 811 defines 1 psi as exactly 6,894.757293168 pascals, derived from the pound-force and the square inch, so the pascal to psi ratio carries ten significant figures and the conversion is exact at any precision.

The very small psi value of one pascal

1 Pa equals only 0.0001450377377 psi, so a laboratory reading of 1 Pa converts to about 1.45 × 10⁻⁴ psi. Mixing the units up by a factor of 1,000 is the most common manual conversion error when reading vacuum gauges or material test data.

kPa, bar, atm, and mmHg on the same physical scale

1 kPa is exactly 1,000 Pa, 1 bar is exactly 100,000 Pa, 1 atm is exactly 101,325 Pa, and 1 mmHg is exactly 133.322387415 Pa. Weather maps use kPa, industrial hydraulics use bar, vacuum science uses atm, and laboratory instruments use mmHg, so the same pascal value reads cleanly across all four cross-check rows.

When the workflow starts from a psi gauge and needs Pa, kPa, MPa, bar, atm, mmHg, and inHg in one entry, a PSI Conversion Calculator sits next to the pa to psi converter as the full psi-side overview.

How to Use This Calculator

The pa to psi converter has a value field and a direction toggle. Pick the direction, type the number, and read the converted pressure plus the kPa, bar, atm, and mmHg cross-check rows in the same result panel.

  1. 1 Pick the conversion direction: Use the dropdown to switch between Pascal (Pa) to Pound per square inch (psi) and Pound per square inch (psi) to Pascal (Pa). The default is Pa → psi for the most common SI-to-U.S. workflow.
  2. 2 Type the pressure value: Enter the value in the unit set by the direction toggle. Try 101,325 for the standard atmosphere, 100,000 for a 1 bar reference, or 1 for a single pascal vacuum reading.
  3. 3 Read the converted pressure: The black box at the top of the result panel shows the answer in the target unit. For 101,325 Pa the answer is 14.6959488 psi; for 14.6959488 psi the answer is 101,325 Pa. The unit label switches with the direction toggle.
  4. 4 Cross-check the kPa, bar, atm, and mmHg rows: The result panel also shows the same pressure in kilopascals, bar, standard atmospheres, and millimeters of mercury. Compare against a published chart or a separate calculator to confirm the factor is being applied correctly.
  5. 5 Switch direction for the reverse: Toggle the direction dropdown to flip between Pa → psi and psi → Pa. The same value and cross-check rows are kept, so a round trip takes two clicks and never loses precision.

A laboratory vacuum gauge reads 1 Pa. Toggle the direction to Pa → psi and type 1. The calculator returns 0.0001450377 psi alongside 0.001 kPa, 0.00001 bar, and 0.00750062 mmHg. Toggle to psi → Pa and the same value rounds back to 1 Pa.

For a bar-to-psi workflow on a 1 bar or 2.2 bar reading with a kPa, atm, and kgf/cm² cross-check, the Bar to PSI Conversion applies the same 6,894.757293168 Pa/psi factor through a 100,000 Pa bar.

Benefits of the Conversion

The advantage of a single, factor-driven pa to psi conversion is that the result is exact and the cross-check rows make it self-validating, removing the rounding error and misplaced-decimal mistakes that creep in when each conversion is done by hand.

  • Exact NIST factor: The 1 psi = 6,894.757293168 Pa ratio is fixed by the NIST pascal definitions, so the calculator returns the same value at any precision with no empirical calibration needed.
  • Bidirectional in one tool: Switch the direction toggle to flip between Pa → psi and psi → Pa. The same input and cross-check rows stay in place, so a round-trip never loses precision.
  • Four cross-check rows: Every result includes the equivalent pressure in kPa, bar, atm, and mmHg, catching transcription errors early when a pascal value was rounded to 1 or 2 significant figures.
  • Worked atmosphere and vacuum examples: The 101,325 Pa atmosphere, the 100,000 Pa bar reference, and the 1 Pa vacuum reading are built into the explanation, covering weather reports, industrial specs, and laboratory measurements.

For tire placards, weather readings, and engineering sheets that already use the kilopascal scale, the kPa Conversion translates kPa into psi, bar, atm, and mmHg without forcing a pascal intermediate step.

Factors That Affect Results

The pa to psi conversion is exact, but the usefulness of any specific number depends on what the input represents, on the precision of the original record, and on whether the rest of the workflow is using the same pressure reference.

Source precision

Converted values should not imply more precision than the original measurement. A 101,325 Pa textbook value can support a 14.6959488 psi answer, but a vacuum gauge that reads 1 Pa to one significant figure cannot support a 0.0001450377 psi answer more accurately than the gauge itself, so round to the source precision before quoting the psi value.

Direction of conversion

The factor is ÷ 6,894.757293168 when going from Pa to psi and × 6,894.757293168 when going the other way. Mixing up the direction is the most common source of a 6,894.76× error in manual conversion.

Pa versus kPa and MPa readings

Many SI instruments report kPa or MPa rather than raw pascals, so a 100 kPa pressure reads as 100,000 Pa before the conversion. Multiplying a 100 kPa value by 0.0001450377 gives a tiny psi answer, while dividing the underlying 100,000 Pa by 6,894.757293168 gives the correct 14.5037738 psi result. Convert kPa or MPa to Pa first, or use a kilopascal converter that handles the scale step automatically.

  • The pascal is the SI coherent unit, but it is often inconvenient for ordinary pressures because the numbers grow quickly. A standard atmosphere is 101,325 Pa, a SCUBA tank is 20,000,000 Pa, and a hydraulic press can exceed 70,000,000 Pa, so kilopascals, bar, and megapascals are usually the more readable scale for everyday work.
  • The conversion factor is exact, but the real pressure being measured is not. A vacuum reading of 1 Pa is a single snapshot, and the actual pressure in a sealed chamber can drift with temperature, outgassing, and pump performance.

Standard atmospheric pressure is the most useful benchmark for a real value. At 101,325 Pa, the atmosphere reads 14.6959488 psi, the same number that anchors U.S. weather reports, altimeter settings, and aviation references.

According to NIST SP 811 Appendix B.8, one pound-force per square inch equals 6.894757 x 10^3 pascals, the exact value the pascal to psi conversion chain uses

For a cross-unit overview that compares Pa, kPa, bar, atm, mmHg, inHg, and torr in a single entry, a Pressure Converter sits next to the pa to psi converter as the broad pressure tool.

Pa to PSI converter with a direction toggle, a value field, and live outputs in psi, kPa, bar, atm, and mmHg
Pa to PSI converter with a direction toggle, a value field, and live outputs in psi, kPa, bar, atm, and mmHg

Frequently Asked Questions

Q: How do you convert Pa to psi?

A: Divide the pascal value by 6,894.757293168 to get psi. So 101,325 Pa ÷ 6,894.757293168 = 14.6959488 psi, and 1 Pa ÷ 6,894.757293168 ≈ 0.0001450377 psi. The factor is exact, so the result is exact at any precision you choose to display.

Q: How many psi are in 1 pascal?

A: There are exactly 0.0001450377377 psi in 1 pascal, because 1 psi equals 6,894.757293168 pascals. The same 1 pascal reading also equals 0.001 kPa, 0.00001 bar, 0.00000986923 atm, or 0.00750062 mmHg.

Q: What is the formula to convert pascals to psi?

A: The formula is p(psi) = p(Pa) ÷ 6,894.757293168. The reverse conversion is p(Pa) = p(psi) × 6,894.757293168. The factor 6,894.757293168 Pa/psi is fixed by the NIST pascal definitions, so the formula is exact.

Q: Why is 1 Pa equal to 0.0001450377377 psi?

A: Because 1 psi is defined by NIST as exactly 6,894.757293168 pascals, dividing 1 by 6,894.757293168 gives the 0.0001450377377 factor that the calculator uses for every conversion. The reciprocal relationship holds because both units are exact definitions rather than measured quantities.

Q: Is pascal to psi conversion exact?

A: Yes. The relationship 1 psi = 6,894.757293168 Pa is an exact definition, so the pa to psi ratio is a fixed exact fraction. The only rounding is in the decimal places you choose to display the result, not in the factor itself.

Q: How do you convert psi back to pascals?

A: Multiply the psi value by 6,894.757293168. So 14.6959488 psi gives 101,325 Pa, 29.0075476 psi gives 200,000 Pa, and 0.0001450377 psi gives 1 Pa. The same factor works for vacuum gauges, gas-law calculations, and material test data because the psi is defined as exactly 6,894.757293168 pascals.