Pascal to Bar Converter

Convert pascals to bars with our free online pressure converter.

Quick Answer

1 Pascal = 0.00001 bars

Formula: Pascal × conversion factor = Bar

Use the calculator below for instant, accurate conversions.

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All conversion formulas on UnitsConverter.io have been verified against NIST (National Institute of Standards and Technology) guidelines and international SI standards. Our calculations are accurate to 10 decimal places for standard conversions and use arbitrary precision arithmetic for astronomical units.

Last verified: February 2026Reviewed by: Sam Mathew, Software Engineer

Pascal to Bar Calculator

How to Use the Pascal to Bar Calculator:

  1. Enter the value you want to convert in the 'From' field (Pascal).
  2. The converted value in Bar will appear automatically in the 'To' field.
  3. Use the dropdown menus to select different units within the Pressure category.
  4. Click the swap button (⇌) to reverse the conversion direction.
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How to Convert Pascal to Bar: Step-by-Step Guide

Converting Pascal to Bar involves multiplying the value by a specific conversion factor, as shown in the formula below.

Formula:

bar = Pa × 0.00001

Example Calculation:

1 Pa = 0.00001 bar

Disclaimer: For Reference Only

These conversion results are provided for informational purposes only. While we strive for accuracy, we make no guarantees regarding the precision of these results, especially for conversions involving extremely large or small numbers which may be subject to the inherent limitations of standard computer floating-point arithmetic.

Not for professional use. Results should be verified before use in any critical application. View our Terms of Service for more information.

What is a Pascal and a Bar?

and Standards

The pascal is defined as:

Fundamental SI Definition

1 Pa = 1 N/m² (one newton per square meter)

In base SI units: 1 Pa = 1 kg/(m·s²)

This means one pascal represents a force of one newton distributed uniformly over one square meter of surface area.

Relationship to Force and Area

  • Force: 1 N (newton) = the force needed to accelerate 1 kg at 1 m/s²
  • Area: 1 m² = a square with 1-meter sides
  • Pressure: 1 Pa = 1 N spread over 1 m² = very little pressure

Practical perspective: 1 Pa ≈ the pressure from a dollar bill (1 gram) resting flat on a table (spread over ~160 cm²).

Standard Conversions

  • 1 kPa = 1,000 Pa (kilopascal)
  • 1 MPa = 1,000,000 Pa = 1,000 kPa (megapascal)
  • 1 GPa = 1,000,000,000 Pa = 1,000 MPa (gigapascal)
  • 1 bar = 100,000 Pa = 100 kPa
  • 1 atmosphere = 101,325 Pa = 101.325 kPa = 1.01325 bar
  • 1 PSI = 6,894.76 Pa = 6.895 kPa
  • 1 mmHg = 133.322 Pa (millimeter of mercury/Torr)
  • 1 hectopascal (hPa) = 100 Pa = 1 millibar (mbar)

Why Pascal is "Too Small"

Most everyday pressures are thousands or millions of pascals:

  • Human breath: ~1,000 Pa = 1 kPa
  • Car tire: 220,000 Pa = 220 kPa = 32 PSI
  • Atmospheric pressure: 101,325 Pa = 101.3 kPa
  • Hydraulic jack: 10,000,000 Pa = 10 MPa = 1,450 PSI
  • Concrete compressive strength: 30,000,000 Pa = 30 MPa

This is why kilopascals (kPa) and megapascals (MPa) dominate practical engineering and everyday use.

and Standards

The bar is defined as:

Fundamental Definition

1 bar = 100,000 Pa (exactly) 1 bar = 100 kPa (exactly) 1 bar = 0.1 MPa (exactly)

In CGS units (historical): 1 bar = 10⁶ dynes/cm²

Why 100,000 Pascals?

The bar was deliberately chosen to create a practical, metric-friendly pressure unit that:

  • Approximates atmospheric pressure: 1 bar ≈ 1 atm (actual: 1.01325 bar = 1 atm)
  • Uses round numbers: 100,000 Pa = 100 kPa (easy mental math)
  • Bridges small and large pressures: Larger than Pa, smaller than MPa
  • Decimal relationship to SI: Exact powers of 10 conversion to Pa/kPa/MPa

Standard Conversions

  • 1 bar = 100,000 Pa (exactly)
  • 1 bar = 100 kPa (exactly)
  • 1 bar = 0.1 MPa (exactly)
  • 1 bar = 14.5038 PSI
  • 1 bar = 0.986923 atm
  • 1 bar = 1,000 mbar (millibars)
  • 1 bar = 10 dbar (decibars—oceanography)
  • 1 bar = 750.062 mmHg (Torr)
  • 1 bar = 29.53 inches Hg

Relationship to Standard Atmosphere

  • 1 atmosphere (atm) = 1.01325 bar (exactly)
  • 1 bar = 0.986923 atm
  • Difference: ~1.3%, small enough for many practical purposes to treat as equal

Millibar (mbar) — Meteorology Standard

1 millibar (mbar) = 0.001 bar = 100 Pa = 1 hectopascal (hPa)

Weather reports worldwide use millibars/hectopascals:

  • Standard sea-level pressure: 1,013.25 mbar = 1.01325 bar
  • Weather range: 980-1,050 mbar (0.98-1.05 bar)
  • Hurricane pressure: <920 mbar (<0.92 bar)

Note: Meteorologists now officially use hectopascals (hPa) instead of millibars, but they're numerically identical: 1 mbar = 1 hPa.

Note: The Pascal is part of the imperial/US customary system, primarily used in the US, UK, and Canada for everyday measurements. The Bar belongs to the imperial/US customary system.

History of the Pascal and Bar

and Evolution

Blaise Pascal (1623-1662)

Blaise Pascal, born in Clermont-Ferrand, France, was a mathematical prodigy who made revolutionary contributions to geometry, probability theory, and physics before his death at age 39. His work on fluid mechanics fundamentally changed scientific understanding of pressure and laid the groundwork for hydraulic engineering.

Early Work (1640s):

  • At age 18, Pascal invented one of the first mechanical calculators (the Pascaline) to help his father with tax calculations
  • Conducted experiments with barometers following Evangelista Torricelli's invention of the mercury barometer (1643)
  • Investigated why mercury columns in barometers didn't rise beyond ~76 cm, hypothesizing atmospheric pressure as the cause

Puy de Dôme Experiment (1648): Pascal's brother-in-law Florin Périer carried a barometer to the top of Puy de Dôme mountain (1,465 m elevation) while Pascal monitored a barometer at the base. The mercury column dropped approximately 7.6 cm at the summit—conclusive proof that atmospheric pressure decreases with altitude. This experiment demolished the prevailing Aristotelian theory that "nature abhors a vacuum" and established that air has weight and creates pressure.

Pascal's Law (1653): Pascal formulated the principle that pressure applied to a confined incompressible fluid is transmitted undiminished throughout the fluid in all directions. This fundamental law enabled:

  • Hydraulic presses (multiplying force)
  • Hydraulic brakes (automotive, aircraft)
  • Hydraulic jacks and lifts
  • Modern fluid power systems

Pascal's Contributions to Pressure Science:

  • Established that atmospheric pressure results from the weight of air above
  • Demonstrated pressure-altitude relationships
  • Developed theoretical foundations for hydrostatics
  • Explained barometer operation mechanically rather than mystically

Development of Pressure Units (1600s-1900s)

Pre-metric era: Pressure was measured in bewildering variety:

  • Inches/mm of mercury (inHg, mmHg): Based on barometer height
  • Feet/meters of water: Hydraulic pressure measurement
  • Pounds per square inch (PSI): English/American engineering
  • Atmospheres (atm): Referenced to sea-level air pressure
  • Technical atmospheres (at): 1 kgf/cm² (kilogram-force per square centimeter)

Metric standardization (1795-1960):

  • Bar introduced 1909: 1 bar = 100,000 Pa = 0.9869 atm (almost 1 atmosphere)
  • Widely used in European meteorology and engineering throughout 20th century
  • Simple decimal relationship to atmosphere made it practical

SI Adoption (1960-1971):

  • 1960: 11th CGPM established Système International d'Unités (SI)
  • 1971: 14th CGPM officially adopted pascal as the SI unit of pressure
  • Named to honor Blaise Pascal's foundational work 300+ years earlier
  • Defined as 1 Pa = 1 N/m² = 1 kg/(m·s²)

Global Adoption Timeline

1970s-1980s: Scientific community adopted pascal as standard

  • International standards organizations (ISO, IEC) specified pascal/kPa/MPa
  • Scientific journals required SI units in publications
  • Engineering textbooks transitioned to pascal-based examples

1990s-2000s: Industrial and commercial transition

  • European Union metrication: tire pressures labeled in kPa
  • Automotive specifications: engine pressures in kPa/MPa
  • Meteorology: hectopascal (hPa) became standard for atmospheric pressure worldwide

Current Status (2020s):

  • Universal in science: All research publications use pascals
  • Global engineering: ISO standards, material specifications use Pa/kPa/MPa
  • Weather reports: hectopascals (hPa) worldwide except US (uses inches Hg)
  • Mixed usage: Tire pressure varies by region (kPa in most countries, PSI in US/UK)
  • Holdouts: US aviation still uses inches Hg; blood pressure universally mmHg

and Evolution

William Napier Shaw and the Bar's Creation (1909)

Sir William Napier Shaw (1854-1945) was a pioneering British meteorologist who revolutionized weather forecasting and atmospheric science. As Director of the British Meteorological Office (1905-1920), Shaw faced a practical problem: meteorologists, engineers, and scientists used wildly inconsistent pressure units, making international data sharing difficult.

The Problem (Pre-1909):

  • Meteorology: Inches of mercury (inHg) in UK/US, millimeters of mercury (mmHg) in Europe
  • Engineering: Pounds per square inch (PSI) in English-speaking countries
  • Science: Atmospheres (atm), technical atmospheres (at = 1 kgf/cm²), various CGS units
  • Result: Confusion, conversion errors, lack of standardization

Shaw's Solution: Create a metric pressure unit that:

  1. Approximates atmospheric pressure for intuitive meaning (1 bar ≈ 1 atm)
  2. Uses metric/decimal system for easy calculation
  3. Fits CGS and later SI frameworks with exact relationships
  4. Provides practical scale between very small Pa and large atm

Etymology: Shaw chose "bar" from Greek baros (βάρος = weight), the same root as:

  • Barometer (baros + metron = weight measurer)
  • Barograph (baros + graphein = weight recorder)
  • Isobar (isos + baros = equal weight/pressure)

Definition (1909): 1 bar = 10⁶ dynes/cm² (CGS units)

When SI units were adopted in 1960, this translated to: 1 bar = 10⁵ Pa = 100,000 Pa = 100 kPa

Millibar and Meteorology (1910s-1990s)

Rapid adoption: The millibar (mbar = 0.001 bar) became the dominant meteorological pressure unit by the 1920s-1930s, appearing on:

  • Weather maps (isobars labeled in mbar)
  • Barometer scales (replacing inches/mm Hg)
  • Aviation altimeter settings
  • Synoptic weather charts worldwide

Why millibar succeeded:

  • Sea-level pressure = 1,013 mbar (easy three-digit number)
  • Weather variations 980-1,050 mbar fit human-scale numbers
  • Metric decimal system simplified calculations
  • International meteorological cooperation adopted it as standard

Transition to Hectopascal (1990s): When SI units were fully standardized, meteorologists transitioned from "millibar" to "hectopascal" (hPa) terminology:

  • 1 mbar = 1 hPa (numerically identical)
  • Weather reports changed wording but not numbers: "1015 mbar" → "1015 hPa"
  • Many regions still colloquially use "millibar" despite official hPa standard

Industrial and Automotive Adoption (1950s-Present)

European Industrial Standardization (1950s-1970s):

  • Hydraulic systems: Bar replaced PSI in European manufacturing
  • Pneumatic tools: Compressed air specifications in bar (6-10 bar standard)
  • Pressure vessel codes: European standards (DIN, EN) used bar
  • Scuba diving: Bar became universal for tank pressure ratings (200-300 bar)

Automotive Tire Pressure (1960s-2000s):

  • European transition: Car manufacturers adopted bar for tire specifications
  • Practical numbers: Passenger car tires 2.0-2.5 bar (vs 29-36 PSI)
  • Sidewall labeling: Dual marking "32 PSI / 2.2 bar" became global standard
  • Current status: Europe, Asia, Middle East, Africa primarily use bar; US/UK still predominantly PSI

Global Engineering (1980s-Present):

  • ISO standards: Many use bar alongside MPa for hydraulic/pneumatic specifications
  • Material datasheets: Bar appears in pressure-temperature ratings
  • Commercial equipment: European/Asian machinery rated in bar

CIPM Recognition (1982)

The International Committee for Weights and Measures (CIPM) officially recognized the bar in 1982 as acceptable for use with the International System of Units (SI), despite not being an SI unit itself.

Reasoning:

  • Widespread industrial and commercial use made elimination impractical
  • Exact decimal relationship to SI (1 bar = 10⁵ Pa) ensured compatibility
  • No confusion with SI units due to distinct name and symbol
  • Valuable for expressing pressures in human-scale numbers (tire: 2.2 bar vs 220,000 Pa)

Status Today:

  • Not SI, but SI-compatible: Bar allowed in contexts where practical
  • Scientific literature: Pascals preferred, bar acceptable for applied engineering
  • Industry standard: Bar dominates hydraulics, automotive, diving worldwide
  • Coexistence: Bar and PSI used alongside each other in international trade

Common Uses and Applications: pascals vs bars

Explore the typical applications for both Pascal (imperial/US) and Bar (imperial/US) to understand their common contexts.

Common Uses for pascals

Across Industries

Scientific Research

  • Standard unit: All pressure measurements in scientific papers reported in Pa/kPa/MPa
  • Chemistry: Reaction pressures, gas laws (PV = nRT with P in pascals)
  • Physics: Fluid dynamics, thermodynamics, material stress analysis
  • Geology: Rock formation pressures, subsurface fluid pressures (MPa)

Meteorology and Climate Science

  • Weather maps: Isobars labeled in hectopascals (hPa) or millibars (mbar)
  • Barometric pressure: Reported in hPa worldwide (except US uses inHg)
  • Climate modeling: Atmospheric pressure fields in kPa/hPa
  • Aviation weather: Altimeter settings (US still uses inches Hg, elsewhere hPa)

Civil and Structural Engineering

  • Concrete specifications: Compressive strength in MPa (20-100 MPa typical)
  • Soil bearing capacity: kPa (50-300 kPa for different soil types)
  • Wind load calculations: kPa (0.5-2 kPa for typical buildings)
  • Snow load: kPa (0.5-5 kPa depending on snow depth/density)

Mechanical Engineering

  • Stress analysis: Component stresses in MPa
  • Pressure vessels: Design pressure in MPa, tested at 1.5× design pressure
  • Piping systems: Operating pressure in kPa/MPa
  • Bearing pressure: Contact stress in MPa (roller bearings 1,000-3,000 MPa)

Aerospace Engineering

  • Cabin pressure: 75-80 kPa at cruise altitude (equivalent to 2,400 m elevation)
  • Structural loads: Wing loading, fuselage stress in MPa
  • Propulsion: Turbine blade stress, combustion chamber pressure (MPa)
  • Altitude testing: Vacuum chambers simulating high-altitude pressure (kPa)

Medical and Biomedical

  • Blood pressure: Still measured in mmHg (120/80 mmHg = 16/10.7 kPa) for historical reasons
  • Respiratory pressure: Ventilators use kPa or cm H₂O
  • Hyperbaric chambers: 200-300 kPa (2-3 atmospheres absolute)—wound healing, decompression
  • Intraocular pressure: mmHg (glaucoma diagnosis)

HVAC and Building Systems

  • Duct pressure: 100-2,500 Pa—fan static pressure
  • Building pressurization: 2-25 Pa—positive pressure to prevent infiltration
  • Filter pressure drop: 50-250 Pa—resistance across air filters
  • Natural gas pressure (residential): 1.7-2.8 kPa (7-11 inches water)

When to Use bars

Across Industries

Automotive and Transportation

  • Tire pressure specifications: Universal in Europe, Asia, Africa (2-2.5 bar typical cars)
  • Vehicle manuals: All European/Asian manufacturers specify bar
  • Tire pressure monitoring systems (TPMS): Display in bar or PSI based on region
  • Service station air pumps: Labeled in bar throughout Europe/Asia

Industrial Manufacturing

  • Hydraulic machinery: European/Asian equipment rated in bar (excavators, presses)
  • Pneumatic systems: Compressed air specifications worldwide (6-10 bar standard)
  • Process equipment: Pressure ratings in bar (reactors, heat exchangers, distillation)
  • Quality control: Pressure testing specifications in bar

Scuba Diving and Water Sports

  • Universal diving standard: Tank pressures worldwide rated in bar (200-300 bar)
  • Dive computers: Display depth pressure in bar
  • Dive tables: Pressure calculations in bar
  • Compressor stations: Fill pressures specified in bar

Meteorology and Aviation

  • Weather reports: Atmospheric pressure in millibars (mbar) or hectopascals (hPa)
  • Weather maps: Isobars (lines of equal pressure) labeled in mbar
  • Altimeter settings: Some regions use hectopascals (1 hPa = 1 mbar = 0.001 bar)
  • Barometers: Scales often include bar/mbar markings

Medical and Healthcare

  • Hyperbaric oxygen therapy: Chamber pressures 2-3 bar absolute (2-3 ATA)
  • Respiratory equipment: Some ventilators display pressure in mbar
  • Autoclaves: Sterilization at 2.0-2.2 bar, 121-134°C
  • Medical gas cylinders: Oxygen/air tanks rated in bar

Energy and Utilities

  • Natural gas distribution: Pipeline pressures in bar (5-100 bar)
  • Steam systems: Boiler and turbine pressures in bar
  • Hydrogen infrastructure: Fuel cell vehicle tanks 350-700 bar
  • Compressed air energy storage: 40-80 bar in underground caverns

Additional Unit Information

About Pascal (Pa)

What exactly is one pascal?

One pascal (1 Pa) = one newton of force spread over one square meter of area.

Physical interpretation:

  • Place a 100-gram apple (weighing ~1 newton) flat on a table covering 1 m² (roughly 3.3 ft × 3.3 ft)
  • The pressure it exerts on the table = 1 Pa
  • Alternatively: 1 Pa = pressure from 10 kg spread over 1 m² (about 22 lbs on 11 sq ft)

Why it's so small: Human scale forces are typically larger and distributed over smaller areas, creating pressures in thousands or millions of pascals.

How do I convert pascals to PSI?

Formula: PSI = Pa × 0.000145038 (or Pa ÷ 6,894.76)

Step-by-step example (200,000 Pa to PSI):

  1. 200,000 Pa ÷ 6,894.76 = 29.0 PSI
  2. Or: 200,000 Pa × 0.000145038 = 29.0 PSI

Quick approximation:

  • Convert to kPa first: 200,000 Pa = 200 kPa
  • Divide by ~7: 200 kPa ÷ 7 ≈ 29 PSI (actual: 29.0 PSI)

Common conversions:

  • 100,000 Pa = 100 kPa = 14.5 PSI
  • 200,000 Pa = 200 kPa = 29.0 PSI (typical car tire)
  • 689,476 Pa = 689 kPa = 100 PSI
  • 6,894,760 Pa = 6,895 kPa = 6.89 MPa = 1,000 PSI

Pascal to PSI converter →

How many pascals in 1 PSI?

1 PSI = 6,894.76 pascals = 6.895 kPa

Examples:

  • 10 PSI = 68,948 Pa = 69 kPa
  • 30 PSI = 206,843 Pa = 207 kPa (car tire)
  • 100 PSI = 689,476 Pa = 689 kPa (bicycle tire)
  • 1,000 PSI = 6,894,760 Pa = 6.89 MPa (hydraulic system)

Memory aid: 1 PSI ≈ 7 kPa (slightly under: actual 6.895 kPa)

PSI to Pascal converter →

What is 101,325 pascals?

101,325 Pa = Standard atmospheric pressure at sea level

This is the definition of one atmosphere (1 atm), also equals:

  • 101.325 kPa (easier to write/say)
  • 1.01325 bar (very close to 1 bar)
  • 14.696 PSI (often rounded to 14.7 PSI)
  • 1,013.25 hPa or 1,013.25 mbar (meteorology)
  • 760 mmHg or 760 Torr (medical/vacuum)
  • 29.92 inches Hg (US weather/aviation)

Why this specific number? Historical: 1 atm was defined as average sea-level pressure supporting a 760 mm mercury column. When converted to pascals (SI units), it equals 101,325 Pa exactly.

Why use pascals if they're so small?

SI Coherence: Pascal is the fundamental SI unit—all scientific work uses it for consistency and direct traceability to base units (kg, m, s).

Universal Standard: Scientists and engineers worldwide understand pascals; international standards (ISO, IEC, IEEE) specify pressure in Pa/kPa/MPa.

Scalability with Prefixes:

  • Pa (pascal): Sound, differential pressure, very low pressure
  • kPa (kilopascal, ×1,000): Tires, weather, moderate engineering
  • MPa (megapascal, ×1,000,000): Materials strength, hydraulics, high pressure
  • GPa (gigapascal, ×1,000,000,000): Elastic modulus, extreme pressure

In practice: Nobody says "concrete strength is 30,000,000 pascals"—they say "30 MPa." The prefix system makes pascals practical across 15 orders of magnitude (from sound to diamond stiffness).

How do I convert between Pa, kPa, and MPa?

Simple decimal shifts (powers of 1,000):

Pa ↔ kPa:

  • Pa → kPa: Divide by 1,000 (move decimal 3 left)
    • 250,000 Pa = 250 kPa
  • kPa → Pa: Multiply by 1,000 (move decimal 3 right)
    • 220 kPa = 220,000 Pa

kPa ↔ MPa:

  • kPa → MPa: Divide by 1,000
    • 5,000 kPa = 5 MPa
  • MPa → kPa: Multiply by 1,000
    • 0.5 MPa = 500 kPa

Pa ↔ MPa:

  • Pa → MPa: Divide by 1,000,000 (move decimal 6 left)
    • 50,000,000 Pa = 50 MPa
  • MPa → Pa: Multiply by 1,000,000 (move decimal 6 right)
    • 2 MPa = 2,000,000 Pa

Quick reference:

  • 1 Pa = 0.001 kPa = 0.000001 MPa
  • 1 kPa = 1,000 Pa = 0.001 MPa
  • 1 MPa = 1,000,000 Pa = 1,000 kPa

kPa to Pa converter → MPa to Pa converter →

What's the difference between Pa and hPa?

Pa (pascal) = 1 N/m² (base SI pressure unit)

hPa (hectopascal) = 100 Pa (hecto = ×100 prefix)

Relationship: 1 hPa = 100 Pa = 0.1 kPa

Why hPa exists:

  • Meteorology uses hPa because it's numerically identical to the millibar (mbar): 1 hPa = 1 mbar
  • Weather services transitioned from millibars to hectopascals during SI adoption while keeping familiar numbers
  • "Pressure is 1015 hPa" = "Pressure is 1015 mbar" (same number, SI vs non-SI unit)

Conversions:

  • Standard atmosphere: 101,325 Pa = 1,013.25 hPa = 101.325 kPa
  • Hurricane (low): 900 hPa = 90,000 Pa = 90 kPa
  • High pressure: 1,040 hPa = 104,000 Pa = 104 kPa

Usage: Always use hPa for weather/meteorology, kPa for engineering, Pa for acoustics/differentials.

How does pressure change with altitude?

Rule of thumb near sea level: Pressure drops ~1 kPa (0.15 PSI) per 80 meters (262 feet) elevation gain.

Common elevations:

  • Sea level: 101.3 kPa (14.7 PSI) = 1,013 hPa
  • 500 m (1,640 ft): 95.5 kPa (13.8 PSI)
  • 1,000 m (3,281 ft): 90.0 kPa (13.1 PSI)—Albuquerque, NM
  • 1,600 m (5,280 ft): 83.0 kPa (12.0 PSI)—Denver, CO (17% less than sea level)
  • 2,000 m (6,562 ft): 79.5 kPa (11.5 PSI)—Flagstaff, AZ
  • 3,000 m (9,843 ft): 70.0 kPa (10.2 PSI)—Leadville, CO
  • 5,000 m (16,404 ft): 54.0 kPa (7.8 PSI)—Everest Base Camp
  • 8,849 m (29,032 ft): 33.7 kPa (4.9 PSI)—Mount Everest summit (1/3 sea level)

Why it matters:

  • Engine performance: 10-15% power loss at Denver vs sea level (less oxygen)
  • Boiling point: Water boils at 95°C (203°F) in Denver vs 100°C (212°F) at sea level
  • Breathing: Half oxygen partial pressure on Everest = extreme physiological stress
  • Aircraft cabin: Pressurized to 75-80 kPa (equivalent to 2,400 m) for passenger comfort

What pressure is considered "high pressure" or "low pressure"?

Depends on context—atmospheric, hydraulic, vacuum, or materials:

Atmospheric (Weather):

  • Low pressure: <1,000 hPa (100 kPa)—storms, rain, unsettled weather
  • Normal pressure: 1,005-1,020 hPa (100-102 kPa)
  • High pressure: >1,020 hPa (102 kPa)—clear, calm, stable weather
  • Very high: >1,040 hPa (104 kPa)—extreme cold, stagnant air

Hydraulic Systems:

  • Low pressure: <7 MPa (1,000 PSI)—power steering, light hydraulics
  • Medium pressure: 7-20 MPa (1,000-3,000 PSI)—excavators, industrial machinery
  • High pressure: 20-70 MPa (3,000-10,000 PSI)—presses, injection molding
  • Ultra-high: >100 MPa (14,500 PSI)—waterjets, scientific equipment

Vacuum (Below Atmospheric):

  • Low vacuum: 100-10 kPa absolute (0.1-0.9 atm)
  • Medium vacuum: 10 kPa to 0.1 Pa—industrial applications
  • High vacuum: 0.1 to 10⁻⁵ Pa—electronics, coating
  • Ultra-high vacuum: <10⁻⁵ Pa—semiconductors, research

Material Stress:

  • Low stress: <100 MPa—plastic components, low loads
  • Medium stress: 100-500 MPa—structural steel, aluminum
  • High stress: 500-2,000 MPa—high-strength alloys, aerospace
  • Extreme stress: >2,000 MPa—cutting tools, advanced ceramics

Can I use pascals for stress and strain calculations?

Yes—pascals are the correct SI unit for stress.

Stress = Force / Area = N / m² = Pa (identical to pressure)

Key stress types (all measured in Pa/MPa):

  • Tensile stress: Pulling/stretching force per area
  • Compressive stress: Crushing/squashing force per area
  • Shear stress: Parallel/sliding force per area
  • Bending stress: Combination of tensile and compressive

Engineering convention: Always use MPa (megapascals) for material stress:

  • Aluminum yield strength: 275 MPa (not 275,000,000 Pa)
  • Steel tensile strength: 400 MPa
  • Concrete compressive strength: 30 MPa

Strain (deformation) is dimensionless:

  • Strain = ΔL / L (change in length / original length)
  • Reported as ratio (0.002) or percent (0.2%)
  • No units—not measured in pascals

Young's Modulus (stiffness) = Stress / Strain:

  • Units: Pa or MPa or GPa (since strain is dimensionless)
  • Steel: E = 200 GPa (200,000 MPa = 200,000,000,000 Pa)

How do I measure pressure in pascals?

Pressure measurement devices:

1. Mechanical Gauges:

  • Bourdon tube gauge: Curved tube straightens under pressure, moves needle
  • Dial gauges: Common in industry, typically read PSI or bar (convert to Pa)
  • Accuracy: ±1-2% of full scale

2. Digital Pressure Transducers:

  • Piezoresistive sensors: Resistance changes with pressure (semiconductors)
  • Strain gauge sensors: Diaphragm deflection measured electrically
  • Capacitive sensors: Pressure changes capacitance between plates
  • Output: Voltage/current proportional to pressure, digitally displayed in user-selected units (Pa, kPa, PSI, bar)
  • Accuracy: ±0.1% to ±0.5% full scale

3. Barometers (Atmospheric Pressure):

  • Mercury barometer: Height of mercury column (760 mm = 101.325 kPa)
  • Aneroid barometer: Mechanical, uses evacuated capsule that expands/contracts
  • Electronic barometer: MEMS sensor (smartphones, weather stations)—reads in hPa

4. Manometers (Differential Pressure):

  • U-tube manometer: Liquid column height difference (mm H₂O or mm Hg)
  • Convert: 1 mm H₂O = 9.807 Pa, 1 mm Hg = 133.322 Pa
  • Use: HVAC, low-pressure differentials

5. Vacuum Gauges:

  • Thermocouple gauge: Gas thermal conductivity (1-10⁻³ Pa)
  • Ionization gauge: Ionized gas current (10⁻³ to 10⁻⁹ Pa)
  • Pirani gauge: Heated wire resistance change (10 to 10⁻² Pa)

Calibration: Reference standards traceable to national metrology institutes (NIST, PTB) maintain pressure accuracy in pascals.

About Bar (bar)

What exactly is one bar?

One bar = 100,000 pascals (Pa) = 100 kilopascals (kPa).

Physical interpretation:

  • One bar approximately equals atmospheric pressure at sea level (actual: 1.013 bar)
  • One bar = pressure from a 10-meter (33-foot) column of water
  • One bar = 10 newtons of force distributed over 1 cm² (10 N/cm²)

Why it's practical: The bar bridges the gap between the very small pascal (101,325 Pa for atmospheric pressure) and the non-metric atmosphere/PSI. Tire pressure of 2.2 bar is easier to remember and communicate than 220,000 Pa or 220 kPa.

How do I convert bar to PSI?

Formula: PSI = bar × 14.5038

Step-by-step example (2.2 bar to PSI):

  1. 2.2 bar × 14.5038 = 31.9 PSI
  2. Or use approximation: 2.2 bar × 14.5 ≈ 32 PSI

Quick approximation: Multiply bar by 15 for rough PSI (slightly high)

  • 2 bar × 15 = 30 PSI (exact: 29.0 PSI)
  • 2.5 bar × 15 = 37.5 PSI (exact: 36.3 PSI)

Common conversions:

  • 1.0 bar = 14.5 PSI
  • 2.0 bar = 29.0 PSI (bicycle/motorcycle tire)
  • 2.2 bar = 32.0 PSI (typical car tire)
  • 2.5 bar = 36.3 PSI (SUV tire)
  • 10 bar = 145 PSI (compressed air)
  • 200 bar = 2,900 PSI (scuba tank)

Bar to PSI converter →

How many bar is standard atmospheric pressure?

Standard atmospheric pressure = 1.01325 bar (exactly = 1 atmosphere)

Rounded: Often approximated as 1 bar for practical purposes (1.3% difference).

Weather variations:

  • High pressure system: 1.020-1.060 bar (clear weather)
  • Normal range: 1.000-1.020 bar
  • Low pressure system: 0.980-1.000 bar (rain/clouds)
  • Tropical storm: 0.950-0.980 bar
  • Hurricane: <0.920 bar (severe storm)

Altitude variations:

  • Sea level: 1.013 bar
  • 1,000 m (3,280 ft): 0.900 bar
  • Denver (1,600 m, 5,280 ft): 0.830 bar
  • Mount Everest (8,849 m): 0.337 bar (1/3 sea level)

What is 2.5 bar in PSI?

2.5 bar = 36.3 PSI

Typical uses:

  • SUV tires (loaded): 2.4-2.6 bar (35-38 PSI)
  • Van/minivan tires: 2.5-2.8 bar (36-40 PSI)
  • High-performance car tires: 2.5-3.0 bar (36-44 PSI)
  • Light truck tires (front): 2.5-2.8 bar (36-40 PSI)
  • Sports car (Porsche, BMW M): 2.5-3.0 bar (36-44 PSI)

Temperature note: Tire pressure increases ~0.1 bar when hot, so 2.5 bar cold may read 2.6-2.7 bar after highway driving.

Bar to PSI converter →

How do I convert bar to kPa?

Formula: kPa = bar × 100 (exactly—easiest conversion!)

Examples:

  • 1 bar = 100 kPa
  • 2 bar = 200 kPa
  • 2.2 bar = 220 kPa (car tire)
  • 10 bar = 1,000 kPa = 1 MPa
  • 200 bar = 20,000 kPa = 20 MPa (scuba tank)

Mental math: Just multiply by 100 (add two zeros or move decimal point two places right).

Why this matters: International tire pressure specifications increasingly use kPa instead of bar or PSI. Same number, different unit: 220 kPa = 2.2 bar = 32 PSI.

Bar to kPa converter →

Why does Europe use bar and USA use PSI?

Historical reasons:

Europe/Asia → Bar:

  • Metric system adoption: Bar fits decimal metric framework (1 bar = 100 kPa)
  • SI-compatible: Exact relationship to pascal (1 bar = 10⁵ Pa)
  • Intuitive scale: 1 bar ≈ atmospheric pressure, car tires 2-2.5 bar
  • International cooperation: European standardization post-WWII promoted bar
  • Current status: Dominant in Europe, Asia, Middle East, Africa, South America

USA/UK → PSI:

  • Imperial system tradition: Pounds per square inch predates metric system
  • Industrial legacy: Existing tools, gauges, training, documentation all in PSI
  • Market size: US automotive/aerospace industry maintained PSI standards
  • Cost of conversion: Retooling factories, retraining workforce expensive
  • Current status: US predominantly PSI, UK transitioning to bar

Modern reality:

  • Dual labeling: Tire sidewalls worldwide show both "32 PSI / 2.2 bar"
  • Conversion apps: Smartphones make unit conversion trivial
  • Professional equipment: High-end gauges display both units simultaneously
  • Globalization: Engineers routinely work with both bar and PSI

What's the difference between bar and millibar?

Bar = 100,000 Pa = 100 kPa (industrial/engineering standard)

Millibar (mbar) = 0.001 bar = 100 Pa = 1 hectopascal (hPa) (meteorology standard)

Relationship: 1 bar = 1,000 mbar

Usage:

  • Bar: Tire pressure (2.2 bar), hydraulics (200 bar), scuba tanks (300 bar)
  • Millibar: Weather reports (1013 mbar), atmospheric pressure, aviation

Why different scales:

  • Millibar provides human-scale numbers for weather: 980-1050 mbar range
  • Bar avoids decimals for engineering: 2.2 bar tire vs 2,200 mbar (awkward)

Modern terminology: Meteorologists now use hectopascal (hPa) instead of millibar, but they're numerically identical:

  • 1 mbar = 1 hPa (same number, SI vs non-SI name)
  • "Pressure is 1015 mbar" = "Pressure is 1015 hPa"

Can I use bar for scientific research?

Generally no—use pascals (Pa/kPa/MPa) for scientific work.

Reasoning:

  • SI standard: Pascal is the official SI unit of pressure
  • Scientific journals: Require SI units for consistency and international comparability
  • Peer review: Reviewers expect Pa/kPa/MPa in research papers
  • Data archiving: Long-term data should use SI for future accessibility

Exceptions where bar is acceptable:

  • Applied engineering research: Industrial collaborations, pressure vessel studies
  • Geophysics/oceanography: Some fields traditionally use bar/decibar
  • Historical comparisons: Citing older literature that used bar
  • Supplementary notation: Can include bar in parentheses after SI value: "100 kPa (1 bar)"

Best practice:

  • Report in SI (Pa/kPa/MPa) as primary unit
  • Mention bar equivalents if relevant to application
  • Follow journal guidelines: Check specific requirements before submission

How does pressure change with depth underwater?

Rule: Pressure increases 1 bar per 10 meters (33 feet) of depth.

Depth-pressure relationship:

  • Surface: 1 bar (atmospheric pressure)
  • 10 m (33 ft): 2 bar absolute (1 bar water + 1 bar atmosphere)
  • 20 m (66 ft): 3 bar absolute
  • 30 m (98 ft): 4 bar absolute—recreational diving limit
  • 40 m (130 ft): 5 bar absolute—advanced open water limit
  • 50 m (164 ft): 6 bar absolute
  • 100 m (328 ft): 11 bar absolute—technical/commercial diving
  • 200 m (656 ft): 21 bar absolute

Why it matters for diving:

  • Air consumption: At 30 m (4 bar), diver breathes air 4× faster than surface
  • Nitrogen absorption: Higher pressure = more nitrogen dissolves in blood/tissues
  • Decompression requirements: Deeper/longer dives need staged ascent to avoid "bends"
  • Regulator design: Delivers breathing gas at ambient pressure (2 bar at 10 m)

Formula: Pressure (bar absolute) = (Depth in meters ÷ 10) + 1

What pressure is a scuba tank filled to?

Standard scuba tank pressures:

Aluminum tanks (common in US/recreational diving):

  • Aluminum 80 cu ft: 207 bar (3,000 PSI) when full
  • Usable down to 50 bar (725 PSI) reserve

Steel tanks (common in Europe/technical diving):

  • Steel 12L (European): 232 bar (3,365 PSI) standard, up to 300 bar (4,350 PSI) high-pressure
  • Steel 100 cu ft (US): 237 bar (3,442 PSI)

Why such high pressure:

  • Compact storage: More air fits in smaller volume at high pressure
  • Extended dive time: Higher capacity = longer bottom time
  • Safety margin: Start with 200-300 bar, surface with 50+ bar reserve

Tank safety:

  • Hydrostatic testing: Every 5 years at 1.5× working pressure (300-450 bar)
  • Visual inspection: Annual checks for corrosion, damage
  • Burst disk: Releases at ~1.25× working pressure to prevent catastrophic failure

How do I measure pressure in bar?

Pressure measurement devices:

1. Tire Pressure Gauges:

  • Dial gauge: Mechanical, reads in bar and/or PSI (accuracy ±0.1 bar)
  • Digital gauge: LCD display, selectable units (accuracy ±0.05 bar)
  • Pencil gauge: Simple, cheap, less accurate (±0.2 bar)
  • Tire shops: Calibrated gauges (±0.03 bar)

2. Industrial Pressure Gauges:

  • Bourdon tube gauge: Most common, 40-400 mm dial, ranges 0-1 to 0-1000+ bar
  • Dial markings: Often dual-scale (bar outer ring, PSI inner ring)
  • Accuracy classes: 0.6%, 1.0%, 1.6%, 2.5% of full scale

3. Digital Pressure Transducers:

  • Electronic sensors: Piezoresistive, strain gauge, capacitive types
  • Output: 4-20 mA current loop or 0-10V voltage proportional to pressure
  • Display: Digital readout in user-selected units (bar, PSI, kPa, MPa)
  • Accuracy: ±0.1% to ±0.5% full scale

4. Manometers (for low pressures):

  • U-tube manometer: Water or mercury column (measures in mm H₂O or mm Hg, convert to bar)
  • Digital manometer: Electronic, displays in bar, kPa, PSI, mbar

5. Barometers (atmospheric pressure):

  • Aneroid barometer: Mechanical, often labeled in mbar and/or inHg
  • Electronic barometer: Digital, weather stations, smartphones (MEMS sensor)

Calibration: Professional gauges calibrated against reference standards traceable to national metrology labs (NIST, PTB).

Is bar the same as barometric pressure?

No—they're related but different concepts:

Bar (unit):

  • A unit of measurement for pressure
  • 1 bar = 100,000 Pa = 100 kPa
  • Can measure any type of pressure (tire, hydraulic, atmospheric, etc.)

Barometric pressure (measurement):

  • The atmospheric pressure at a given location
  • Measured and reported in various units: bar, mbar, hPa, mmHg, inHg, PSI
  • Changes with weather and altitude
  • Standard sea-level barometric pressure = 1.01325 bar = 1,013.25 mbar

Etymology connection:

  • Both "bar" and "barometer" derive from Greek baros (βάρος) = weight
  • Barometer = baros (weight) + metron (measure) = instrument measuring atmospheric weight/pressure
  • William Napier Shaw chose "bar" to complement "barometer" terminology

Usage:

  • "The barometric pressure is 1.015 bar" ✓ (atmospheric pressure measured in bar units)
  • "The tire pressure is 2.2 bar" ✓ (tire pressure measured in bar units)
  • Barometric pressure is just one type of pressure that can be expressed in bar

Conversion Table: Pascal to Bar

Pascal (Pa)Bar (bar)
0.50
10
1.50
20
50
100
250
500.001
1000.001
2500.003
5000.005
1,0000.01

People Also Ask

How do I convert Pascal to Bar?

To convert Pascal to Bar, enter the value in Pascal in the calculator above. The conversion will happen automatically. Use our free online converter for instant and accurate results. You can also visit our pressure converter page to convert between other units in this category.

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What is the conversion factor from Pascal to Bar?

The conversion factor depends on the specific relationship between Pascal and Bar. You can find the exact conversion formula and factor on this page. Our calculator handles all calculations automatically. See the conversion table above for common values.

Can I convert Bar back to Pascal?

Yes! You can easily convert Bar back to Pascal by using the swap button (⇌) in the calculator above, or by visiting our Bar to Pascal converter page. You can also explore other pressure conversions on our category page.

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What are common uses for Pascal and Bar?

Pascal and Bar are both standard units used in pressure measurements. They are commonly used in various applications including engineering, construction, cooking, and scientific research. Browse our pressure converter for more conversion options.

For more pressure conversion questions, visit our FAQ page or explore our conversion guides.

All Pressure Conversions

Pascal to KilopascalPascal to MegapascalPascal to HectopascalPascal to MillibarPascal to AtmospherePascal to Technical AtmospherePascal to TorrPascal to Millimeter of MercuryPascal to Inch of MercuryPascal to Pound per Square InchPascal to Kilopound per Square InchPascal to Kilogram-force per Square CentimeterPascal to Kilogram-force per Square MeterPascal to Millimeter of Water ColumnPascal to Inch of Water ColumnKilopascal to PascalKilopascal to MegapascalKilopascal to HectopascalKilopascal to BarKilopascal to MillibarKilopascal to AtmosphereKilopascal to Technical AtmosphereKilopascal to TorrKilopascal to Millimeter of MercuryKilopascal to Inch of MercuryKilopascal to Pound per Square InchKilopascal to Kilopound per Square InchKilopascal to Kilogram-force per Square CentimeterKilopascal to Kilogram-force per Square MeterKilopascal to Millimeter of Water ColumnKilopascal to Inch of Water ColumnMegapascal to PascalMegapascal to KilopascalMegapascal to HectopascalMegapascal to BarMegapascal to MillibarMegapascal to AtmosphereMegapascal to Technical AtmosphereMegapascal to TorrMegapascal to Millimeter of MercuryMegapascal to Inch of MercuryMegapascal to Pound per Square InchMegapascal to Kilopound per Square InchMegapascal to Kilogram-force per Square CentimeterMegapascal to Kilogram-force per Square MeterMegapascal to Millimeter of Water ColumnMegapascal to Inch of Water ColumnHectopascal to PascalHectopascal to KilopascalHectopascal to MegapascalHectopascal to BarHectopascal to MillibarHectopascal to AtmosphereHectopascal to Technical AtmosphereHectopascal to TorrHectopascal to Millimeter of MercuryHectopascal to Inch of MercuryHectopascal to Pound per Square InchHectopascal to Kilopound per Square InchHectopascal to Kilogram-force per Square CentimeterHectopascal to Kilogram-force per Square MeterHectopascal to Millimeter of Water ColumnHectopascal to Inch of Water ColumnBar to PascalBar to KilopascalBar to MegapascalBar to HectopascalBar to MillibarBar to AtmosphereBar to Technical AtmosphereBar to TorrBar to Millimeter of MercuryBar to Inch of MercuryBar to Pound per Square InchBar to Kilopound per Square InchBar to Kilogram-force per Square CentimeterBar to Kilogram-force per Square MeterBar to Millimeter of Water ColumnBar to Inch of Water ColumnMillibar to PascalMillibar to KilopascalMillibar to MegapascalMillibar to HectopascalMillibar to BarMillibar to AtmosphereMillibar to Technical AtmosphereMillibar to TorrMillibar to Millimeter of MercuryMillibar to Inch of MercuryMillibar to Pound per Square InchMillibar to Kilopound per Square InchMillibar to Kilogram-force per Square CentimeterMillibar to Kilogram-force per Square MeterMillibar to Millimeter of Water ColumnMillibar to Inch of Water ColumnAtmosphere to PascalAtmosphere to KilopascalAtmosphere to MegapascalAtmosphere to HectopascalAtmosphere to BarAtmosphere to MillibarAtmosphere to Technical AtmosphereAtmosphere to TorrAtmosphere to Millimeter of MercuryAtmosphere to Inch of MercuryAtmosphere to Pound per Square InchAtmosphere to Kilopound per Square InchAtmosphere to Kilogram-force per Square CentimeterAtmosphere to Kilogram-force per Square MeterAtmosphere to Millimeter of Water ColumnAtmosphere to Inch of Water ColumnTechnical Atmosphere to PascalTechnical Atmosphere to KilopascalTechnical Atmosphere to MegapascalTechnical Atmosphere to HectopascalTechnical Atmosphere to BarTechnical Atmosphere to MillibarTechnical Atmosphere to AtmosphereTechnical Atmosphere to TorrTechnical Atmosphere to Millimeter of Mercury

Verified Against Authority Standards

All conversion formulas have been verified against international standards and authoritative sources to ensure maximum accuracy and reliability.

NIST Reference on Constants, Units and Uncertainty

National Institute of Standards and TechnologyFundamental physical constants and unit conversions

BIPM SI Units

Bureau International des Poids et MesuresInternational System of Units (SI) definitions and standards

ISO 80000

International Organization for StandardizationQuantities and units international standards series

Last verified: February 19, 2026