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Bar to Torr (bar to Torr) Calculator & Formula

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Live Conversion • ISO 80000-4:2019 Certified
1 Bar = 750.0616827 Torr
1 bar = 750.061683 Torr • 1 Torr = 0.00133322 bar
Bar to Torr: One Bar is equal to 750.0616827 Torr.
Certified Authority Value
750.06168270
Torr
Exact: 1 Torr ≡ 0.001333223684 bar
bar
bar
Swap to Torr to Bar
Torr
Torr 750.0616827
Quick Values:
1 bar 5 bar 10 bar 25 bar 50 bar 100 bar 250 bar 500 bar 1,000 bar
Conversion Formula
To convert Bar to Torr, multiply by 750.0616827
bar × 750.0616827 = Torr

Calculation: 1 bar × 750.0616827 = 750.0616827 Torr

Common Bar to Torr Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Bar (bar) and Torr (Torr).

Tap any row to calculate
Bar to Torr: Primary Direct Table (15 Steps)
Bar to Torr Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 bar is equal to 0.750062 Torr 7.501 × 10⁻¹
0.01 bar is equal to 7.500617 Torr 7.501 × 10⁰
0.1 bar is equal to 75.006168 Torr 7.501 × 10¹
0.5 bar is equal to 375.030841 Torr 3.75 × 10²
1 bar is equal to 750.061683 Torr 7.501 × 10²
2 bar is equal to 1500.123365 Torr 1.5 × 10³
5 bar is equal to 3750.308414 Torr 3.75 × 10³
10 bar is equal to 7500.616827 Torr 7.501 × 10³
20 bar is equal to 15001.233654 Torr 1.5 × 10⁴
25 bar is equal to 18751.542068 Torr 1.875 × 10⁴
50 bar is equal to 37503.084135 Torr 3.75 × 10⁴
100 bar is equal to 75006.16827 Torr 7.501 × 10⁴
250 bar is equal to 187515.420676 Torr 1.875 × 10⁵
500 bar is equal to 375030.841352 Torr 3.75 × 10⁵
1000 bar is equal to 750061.682704 Torr 7.501 × 10⁵
Torr to Bar: Reciprocal Summary
Torr to Bar Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 Torr is equal to 0.00133322 bar (Bar) 1.333 × 10⁻³
5 Torr is equal to 0.00666612 bar (Bar) 6.666 × 10⁻³
10 Torr is equal to 0.0133322 bar (Bar) 1.333 × 10⁻²
50 Torr is equal to 0.0666612 bar (Bar) 6.666 × 10⁻²
100 Torr is equal to 0.133322 bar (Bar) 1.333 × 10⁻¹
View Complete 15-Row Torr to Bar Table

Real-World Context & Everyday Benchmarks

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To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Bar (bar) and Torr (Torr):

Bar References:

  • Standard atmospheric pressure at sea level (1.01325 bar) 1 bar
  • Commercial espresso machine coffee extraction group head pressure 9 bar
  • Standard scuba diving compressed breathing air cylinder pressure 200 bar
  • Deep ocean floor water pressure at bottom of the Mariana Trench 1086 bar

Torr References:

  • Standard atmospheric pressure at sea level expressed in Torr (760 Torr) 760 Torr
  • Laboratory high-vacuum rotary vane roughing pump ultimate base pressure 0.001 Torr

Tap any benchmark above to automatically calculate its exact equivalent in Torr.

ISQ Dimension: [M L⁻¹ T⁻²] Coherent SI Unit: pascal (Pa) Chemical Engineering, Solutions & Physical Chemistry

How to Convert Bar to Torr

Converting Bar (bar) to Torr (Torr) is a core calculation in Pressure and Stress, which measures the perpendicular force exerted by a fluid or contact load per unit surface area. This calculation navigates the boundary between the International Metric System (SI) and British Imperial / US Customary engineering standards. In contemporary metrology, Imperial units are defined in terms of exact SI standards via international agreements—notably NIST SP 811 and the 1959 International Yard and Pound Agreement. Exactly 1 Bar equals 750.061683 Torr, while 1 Torr equals 0.00133322 bar.

Direct Factor1 bar = 750.061683 Torr
Inverse Ratio1 Torr = 0.00133322 bar
Conversion ScaleMetric SI to British Imperial / US Customary Bridge
First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

Mathematical Conversion Derivation via Coherent SI Base Unit

Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (pascal (Pa)) without arbitrary rounding:

Vtarget=Vsource×(ksource→SIktarget→SI)V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)
Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)
1. Source SI Bridge (ksource):1 bar = 100000 pascal (Pa)
2. Target SI Bridge (ktarget):1 Torr = 133.322368 pascal (Pa)
Step-by-step substitution for Bar → Torr:V(Torr) = V(bar) × ( 100000 / 133.322368 ) = V(bar) × 750.061683
Mathematical FormulaValue in Torr = Value in Bar × 750.0616827Direct computational formula applied for standard conversion.
Worked Example

Evaluating an input of 50 Bar (bar) produces 37503.084135 Torr (Torr). In heavy-duty utility and industrial workloads, 10000 bar equals 7500616.827042 Torr.

Inverse check: 1 Torr = 0.00133322 bar.

Understanding Bar and Torr

Bar

bar
Metric Unit

The bar (bar) is a non-SI metric unit of pressure widely used in meteorology, engineering, and diving.

Applications & Practical Context

In practical pressure terms, a standard atmospheric pressure at sea level (1.01325 bar) equals 1 bar, a commercial espresso machine coffee extraction group head pressure equals 9 bar, a standard scuba diving compressed breathing air cylinder pressure equals 200 bar.

Physical Setup

A pressure of 1 bar is defined as exactly 100,000 pascals (100 kPa), approximating standard Earth atmospheric air pressure at sea level (1.01325 bar).

Conversion to SI Unit: pascal (Pa)
1 bar = 100,000 Pa

Torr

Torr
Standard Unit

A Torr is a recognized unit for pressure and stress.

Applications & Practical Context

In practical pressure terms, a standard atmospheric pressure at sea level expressed in Torr (760 Torr) equals 760 Torr, a laboratory high-vacuum rotary vane roughing pump ultimate base pressure equals 0.001 Torr.

Physical Setup

A pressure of 1 Torr corresponds to 133.322368 Pa (exerting a perpendicular force of 133.322368 newtons per square meter).

Conversion to SI Unit: pascal (Pa)
1 Torr = 133.322368 Pa

Domain Metrology & Engineering Applications

Governing Law & Equation

Pascal's Principle of Fluid Pressure (P = F / A)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using primary deadweight piston gauges, piezoresistive silicon pressure transmitters, and Bourdon tube test gauges.

Primary Industry Sectors

Applied across aerospace hydraulic flight actuators, oil & gas pipeline monitoring, chemical autoclave pressure safety, and industrial compressed air under international metrology standard ISO 80000-4:2019, NIST SP 811.

Physical Orders of Magnitude & Laboratory Reference Benchmarks

Physical Phenomenon / Engineering ReferenceReference ValueConverted to Torr
Standard atmospheric pressure at sea level (1.01325 bar)1 bar750.061683 Torr
Commercial espresso machine coffee extraction group head pressure9 bar6750.555144 Torr
Standard scuba diving compressed breathing air cylinder pressure200 bar150012.336541 Torr
Deep ocean floor water pressure at bottom of the Mariana Trench1086 bar814566.987417 Torr
Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-4:2019, NIST SP 811 and the BIPM SI Brochure (9th Edition). Governed by Pascal's Principle of Fluid Pressure (P = F / A) under ISO 80000 dimensional vector [M L⁻¹ T⁻²].

Multi-Variable Engineering Bridge Fluid Power & Contact Mechanics

Hydraulic Cylinder & Contact Force Bridge (kN • lbf • Metric Tons • Bar • PSI • Pascals)

Calculate total thrust, clamp load, or bolt pretension from hydrostatic pressure [M L⁻¹ T⁻²] acting over cross-sectional geometry [L²] via Pascal's hydraulic principle F = P × A.

F = P × A
Live Calculated Bridge Equivalent:
1 bar at 100mm (4-inch) Standard Industrial Hydraulic Bore = 0.7854 kN
Equals 176.5649 lbf • 0.08009 t-force • 785.4 N
Civil & Press Metric
0.7854
kN
Kilonewtons
US Hydraulic Standard
176.5649
lbf
Pounds-Force
Press Capacity
0.08009
t-force
Metric Tons Force
SI Standard
785.4
N
Newtons
US Press Rating
0.08828
ton-force (US)
Short Tons Force
Workshop Standard
80.0885
kgf
Kilograms-Force
  1. 1. Normalize Input to SI Base Unit (Pa):
    P = 1 bar × 100000 = 100000 Pa
  2. 2. Apply Engineering Parameter (A):
    Selected condition: 100mm (4-inch) Standard Industrial Hydraulic Bore at A = 0.007854 m²
  3. 3. Execute Governing Physical Law in SI Units:
    F = P × A = (100000) × (0.007854) = 785.4 N
  4. 4. Convert to Standard Engineering Units:
    • kN: 785.4 × 0.001 = 0.7854 kN (Kilonewtons) • lbf: 785.4 × 0.2248 = 176.5649 lbf (Pounds-Force) • t-force: 785.4 × 0.000102 = 0.08009 t-force (Metric Tons Force) • N: 785.4 × 1 = 785.4 N (Newtons) • ton-force (US): 785.4 × 0.0001124 = 0.08828 ton-force (US) (Short Tons Force) • kgf: 785.4 × 0.102 = 80.0885 kgf (Kilograms-Force)
Explore Full Area Converter →
Engineering Substance / Operating Standard Parameter Value (m²) Reference State / Condition Typical Industrial & Engineering Application
25mm (1-inch) Micro Pneumatic Bore 0.0004909 Area = π × (0.0125m)² Automation grippers & electronic assembly tooling
50mm (2-inch) Medium Pneumatic Ram 0.001964 Area = π × (0.025m)² Industrial packaging presses & clamping fixtures
100mm (4-inch) Standard Industrial Hydraulic Bore 0.007854 Area = π × (0.05m)² Excavator booms, log splitters & machine shop presses
150mm (6-inch) Heavy Mobile Hydraulic Ram 0.01767 Area = π × (0.075m)² Mining shovels, dump truck lifts & forge actuators
200mm (8-inch) Massive Press Cylinder 0.03142 Area = π × (0.10m)² Automotive body stamping presses & scrap balers
Vehicle Road Contact Patch (4 Car Tires) 0.06 4 × 150 cm² tire patches Total passenger tire road contact footprint
Standard M12 High-Strength Bolt Tensile Area 8.43 × 10⁻⁵ ISO 898-1 stress area 84.3 mm² Flange fastener clamping stress analysis
Standard M20 Structural Bolt Tensile Area 0.000245 Stress area 245 mm² Heavy structural steel framing & anchor rods
1.0 Square Meter Reference Plate Area 1 1.0 m × 1.0 m area Architectural wind load & hydrostatic flood gate
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Frequently Asked Questions

The mathematical formula to convert bars to torr is: [value] * 750.0616827 = torr. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from torr back to bars, you must divide your starting value by 750.0616827. Our bidirectional tool automatically computes this inverse equation the moment you type into the torr input field.

1 Bar is larger than 1 Torr. Specifically, 1 Bar equals exactly 750.0616827 torr, making it 750.0617 times larger (a difference of 2.88 orders of magnitude). Therefore, quantities expressed in torr require a larger numerical value to represent the same physical amount.

A typical standard atmospheric pressure at sea level (1.01325 bar) measures 1 bar, which corresponds to 750.0617 Torr (Torr).

There are approximately 750.062 Torr in 1 Bar. The standardized mathematical relationship is 1 bar = 750.062 Torr.

To convert pressure from Bar to Torr, multiply the Bar value by the constant 750.062. The required formula is V(Torr) = V(bar) × 750.062.

To convert from Torr back to Bar, multiply the pressure in Torr by 0.00133322. The inverse physical equation is V(bar) = V(Torr) × 0.00133322.

The Torr is traditionally defined as 1/760 of a standard atmosphere. Since 1 Bar is slightly less than 1 standard atmosphere, it accurately equals 750.062 Torr, a conversion extensively applied in vacuum engineering and medical physics.

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