Formula
Bar = Pascals × 0.00001Direct answer
Multiply the entered pascals value by 0.00001 to express it in bar (bar). This converts pascal (Pa) to bar (bar) within the documented pressure family.
Variables and formula
- Pascals (Pa): the source value measured in pascal.
- Bar (bar): the same quantity expressed in bar.
- Conversion factor: 0.00001 bar per pascal.
Bar = Pascals × 0.00001
The generator emits numeric factors with at most 15 significant digits. Calculator results keep up to 10 significant digits for display; this formatting does not increase the precision of the measurement.
Unit definitions and named variants
Source unit: pascal (Pa). The pascal is the coherent SI unit of pressure and stress: 1 Pa = 1 N/m² = 1 kg·m⁻¹·s⁻². The canonical pascal definition is used; no alternate named variant is implied. Reference: Bureau International des Poids et Mesures: The International System of Units (SI), 9th edition, version 4.01; National Institute of Standards and Technology: NIST Handbook 44 (2026), Appendix C: General Tables of Units of Measurement.
Target unit: bar (bar). The bar is a non-SI pressure unit defined as 0.1 MPa or exactly 100,000 Pa. Named variant used: Pressure unit bar; not the unrelated typographic or musical word. Reference: Bureau International des Poids et Mesures: The International System of Units (SI), 9th edition, version 4.01; National Institute of Standards and Technology: NIST Guide to the SI, Appendix B.8: Factors for Units Listed Alphabetically.
The Pa-to-bar direction remains inside the pressure quantity; it changes the unit label and numerical scale, not the kind of quantity being measured.
Relationship and precision
The named unit relationships are defined or exact, so the conversion is exact before display rounding and source-measurement uncertainty.
- Pa relationship: The base factor is exactly 1 by the family base-unit choice.
- bar relationship: The relationship to the pascal is exact.
To audit the factor through the family base unit, divide the raw dataset factors 1 by 100000. The generator emits that quotient once at 15 significant digits as the canonical direct factor 0.00001; runtime calculations do not divide the already-emitted base factors again.
Reproducible example
For 10 pascals, 10 × 0.00001 = 0.0001 bar. Repeating the same multiplication with the stated factor reproduces the displayed conversion before interface rounding.
Directional scale check
Because one pascal contains 0.00001 bar, the target number is smaller than the source number for every positive input. Zero maps to zero, while negative inputs are rejected because this family models non-negative magnitudes.
| Source amount | Calculation | Target amount |
|---|---|---|
| 1 Pa | 1 × 0.00001 |
0.00001 bar |
| 10 Pa | 10 × 0.00001 |
0.0001 bar |
| 100 Pa | 100 × 0.00001 |
0.001 bar |
| 1000 Pa | 1000 × 0.00001 |
0.01 bar |
Interpretation
Read the result as bar, not pascals. A value entered as Pa leaves the calculator labelled bar; this directional distinction matters even when the two units describe the same pressure quantity.
Assumptions and limitations
- Only non-negative pressure magnitudes are accepted; negative gauge readings require a signed, reference-aware model.
- Psi means pound-force per square inch (lbf/in²) using standard gravity, not pound-mass per square inch.
- This family converts non-negative pressure magnitudes only. It does not add or subtract atmospheric reference pressure when changing between absolute, gauge, differential, or vacuum readings.
Common mistakes
- A pascal is a small pressure, so engineering values are often expressed in kPa or MPa.
- One bar is not exactly one standard atmosphere; 1 atm = 1.01325 bar.
Continue within the Pressure family
See the Pressure conversion hub for its five-unit reference table and all 20 directed routes.
- Reverse the direction: Bar to Pascals
- Compare another pressure route: Pascals to Kilopascals
- Compare another pressure route: Pascals to Pounds-force per square inch
- Compare another pressure route: Pascals to Standard atmospheres
- Compare another pressure route: Bar to Kilopascals
Assumptions
- The entered value uses pascals exactly as labelled.
- Only non-negative pressure magnitudes are accepted; negative gauge readings require a signed, reference-aware model.
- Rounding and measurement uncertainty remain the user's responsibility.
Sources and methodology
CalcMotive publishes the formula and assumptions so you can decide whether the estimate fits your use case. See our methodology standards.
- The International System of Units (SI), 9th edition, version 4.01; Bureau International des Poids et Mesures; accessed Aug 7, 2026
- NIST Guide to the SI, Appendix B.8: Factors for Units Listed Alphabetically; National Institute of Standards and Technology; accessed Aug 7, 2026
- NIST Handbook 44 (2026), Appendix C: General Tables of Units of Measurement; National Institute of Standards and Technology; accessed Aug 7, 2026