The Bar to PSIG Conversion Formula

Converting bar to PSIG requires accounting for the difference between absolute and gauge pressure. The absolute conversion factor from bar to PSI is fixed, then atmospheric pressure must be subtracted to shift from absolute to gauge readings.

PSIG = (bar × 14.5038) − 14.7

  • bar — Absolute pressure measurement in bar (where 1 bar ≈ 100 kPa)
  • 14.5038 — Conversion factor from bar to PSI (pounds per square inch absolute)
  • 14.7 — Standard atmospheric pressure in PSI at sea level, subtracted to convert from absolute (PSI) to gauge (PSIG)
  • PSIG — Gauge pressure in pounds per square inch, relative to atmospheric pressure

Understanding the Difference Between Bar and PSIG

Bar is an absolute pressure unit; it measures total pressure from zero. One bar equals approximately 100 kilopascals and is widely adopted in metric-based engineering systems and European standards.

PSIG, by contrast, is a gauge pressure measurement. It reads zero when exposed to normal atmospheric pressure at sea level (14.7 psi absolute). This makes PSIG practical for real-world applications like hydraulic systems, pneumatic tools, and tank pressurization, where the relevant reading is how much pressure exceeds the surrounding air.

The 14.7 psi offset in the conversion formula exists because:

  • Bar measures absolute pressure (starting from a perfect vacuum)
  • PSIG measures gauge pressure (starting from atmospheric baseline)
  • At sea level, atmospheric pressure is 14.7 psi absolute

Worked Example: Converting 150 Bar to PSIG

Suppose a compressed air system operates at 150 bar absolute pressure. To find the gauge pressure reading:

PSIG = (150 × 14.5038) − 14.7
PSIG = 2,175.57 − 14.7
PSIG = 2,160.87 PSIG

A pressure gauge connected to this system would display approximately 2,161 PSIG. The difference between the absolute and gauge values (14.7 psi) represents atmospheric pressure pushing on the gauge from outside.

When to Use This Conversion

Industries that commonly work with both units include:

  • Chemical processing plants: Reactor vessels and pipelines often specify pressure limits in both bar and PSIG for different equipment suppliers.
  • HVAC systems: Refrigerant and hydraulic pressures may be documented in bar in equipment specs but read in PSIG on field gauges.
  • Petroleum and gas: Wellhead equipment, compressors, and pipelines frequently require conversion between metric and imperial pressure scales.
  • Manufacturing and hydraulics: Presses, lifts, and control systems use both units depending on component origin and regulatory context.

Common Pitfalls in Pressure Conversion

Pressure unit mistakes can lead to equipment damage, safety hazards, or system failure.

  1. Forgetting the Atmospheric Offset — The most frequent error is converting only the magnitude (bar × 14.5038) and omitting the 14.7 psi subtraction. Gauge and absolute measurements are not interchangeable; always verify whether your source reading is absolute or gauge before applying the formula.
  2. Altitude Effects on Atmospheric Pressure — The constant 14.7 psi assumes sea-level conditions. At high altitudes, atmospheric pressure drops, meaning PSIG readings will be lower than predicted. For precise work in mountainous regions or aerospace applications, adjust the atmospheric pressure term accordingly.
  3. Confusing PSI and PSIG — PSI (absolute) and PSIG (gauge) sound similar but differ by 14.7. Many conversions fail because users apply PSI conversion factors without the gauge adjustment. Always confirm which scale your instruments measure.
  4. Unit Consistency in Multi-Step Calculations — When pressure values feed into further calculations (stress, flow rate, density), use consistent units throughout. Mixing PSI, PSIG, and bar in a single formula causes compounding errors that grow rapidly in complex engineering analyses.

Frequently Asked Questions

What is the exact conversion factor from bar to PSI?

One bar equals 14.5038 pounds per square inch absolute (PSI). This factor accounts for the different scales: bar is defined as 100 kilopascals, while PSI is based on the imperial pound-force per square inch. When converting to PSIG (gauge), you must subtract an additional 14.7 psi to remove the atmospheric pressure offset. So the complete formula is PSIG = (bar × 14.5038) − 14.7.

Why do we subtract 14.7 from the bar-to-PSI conversion?

The subtraction of 14.7 shifts the reading from absolute (PSI) to gauge (PSIG). Absolute pressure measures from a perfect vacuum, while gauge pressure measures from atmospheric baseline. At sea level, standard atmospheric pressure is 14.7 psi. A gauge reading of zero corresponds to 14.7 psi absolute. Therefore, to convert an absolute PSI value to gauge PSIG, we must subtract 14.7.

Will the conversion be different at high altitudes?

Yes. The 14.7 psi constant assumes sea-level atmospheric conditions. At higher elevations, atmospheric pressure decreases. For example, at 5,000 feet elevation, atmospheric pressure drops to roughly 12.2 psi. If precision matters for your application, measure or calculate local atmospheric pressure and use that value instead of 14.7. Most routine engineering work ignores this correction, but aerospace and mountain-based systems should account for it.

Can I convert negative PSIG values (vacuum conditions)?

The formula applies to vacuum as well. Negative PSIG indicates pressure below atmospheric. For instance, −10 PSIG means 4.7 psi absolute (14.7 − 10). To find the bar equivalent, reverse the formula: bar = (PSIG + 14.7) ÷ 14.5038. This works for any PSIG value, positive or negative, as long as it remains above −14.7 PSIG (which would represent a perfect vacuum).

Which industries most rely on bar-to-PSIG conversions?

Chemical, petrochemical, and refining sectors frequently encounter equipment labeled in both units because suppliers span Europe (metric) and North America (imperial). HVAC technicians regularly convert refrigerant pressures; pneumatic and hydraulic system designers switch between bar and PSIG constantly. Compressor manufacturers, high-pressure pump suppliers, and pressure vessel fabricators also use both scales, making conversion essential for safe, correct installation and operation.

Is there a quick mental math shortcut for bar to PSIG?

A rough approximation: multiply bar by 14.5 and subtract 14.7. For most practical purposes, you can round 14.5038 to 14.5. For example, 10 bar ≈ (10 × 14.5) − 14.7 ≈ 145 − 14.7 ≈ 130 PSIG. However, for safety-critical applications, pressure vessel design, or certification work, always use the exact conversion factor 14.5038 and a calculator to avoid rounding errors.

More conversion calculators (see all)