standard atmospheres (atm) to technical atmospheres (at) conversion

1 atm = 1.033227 atatatm
Formula
1 atm = 1.033227 at

Understanding Standard Atmospheres to Technical Atmospheres Conversion

The standard atmosphere (atm) is defined as exactly 101,325 pascals. The technical atmosphere (at) is an older metric engineering unit equal to one kilogram-force per square centimeter, or 98,066.5 pascals, once widely used on European pressure gauges. Converting atm to at reconciles the physics reference pressure with legacy industrial equipment and documentation that report pressures in kgf/cm².

Conversion Formula

1 atm=1.03323 at1\ \text{atm} = 1.03323\ \text{at}

To convert standard atmospheres to technical atmospheres, multiply by this factor:

at=atm×1.033227\text{at} = \text{atm} \times 1.033227

Step-by-Step Example

Convert 25 standard atmospheres to technical atmospheres.

at=25×1.033227=25.8307 at\text{at} = 25 \times 1.033227 = 25.8307\ \text{at}

How to Convert Standard Atmospheres to Technical Atmospheres

Relate the physics reference pressure to the legacy kgf/cm² unit.

  1. Take the atm value: For example, 25 atm.
  2. Multiply by 1.033227: This gives the technical-atmosphere equivalent.
  3. Compute: 25×1.033227=25.830725 \times 1.033227 = 25.8307.
  4. State the result: 25 standard atmospheres equals about 25.8307 at.

standard atmospheres to technical atmospheres conversion table

standard atmospheres (atm)technical atmospheres (at)
00
11.033227
22.066455
33.099682
44.13291
55.166137
66.199365
77.232592
88.26582
99.299047
1010.33227
1515.49841
2020.66455
2525.83069
3030.99682
4041.3291
5051.66137
6061.99365
7072.32592
8082.6582
9092.99047
100103.3227
150154.9841
200206.6455
250258.3069
300309.9682
400413.291
500516.6137
600619.9365
700723.2592
800826.582
900929.9047
10001033.227
20002066.455
30003099.682
40004132.91
50005166.137
1000010332.27
2500025830.69
5000051661.37
100000103322.7
250000258306.9
500000516613.7
10000001033227

What is the standard atmosphere?

The standard atmosphere (atm) is a unit of pressure defined as a fixed reference value close to the average atmospheric pressure at sea level. It is widely used in chemistry, physics, engineering, and diving to express pressures relative to typical sea-level conditions.

Definition

The standard atmosphere is defined exactly as 101,325 pascals:

1 atm=101325 Pa1\ \text{atm} = 101325\ \text{Pa}

This is equivalent to 1013.25 hectopascals (millibars), 760 millimeters of mercury (torr), and about 14.6959 pounds per square inch. The value was fixed by the 10th General Conference on Weights and Measures (CGPM) in 1954.

Origin and History

Early pressure measurement grew from Evangelista Torricelli's 1643 barometer experiments, which showed the atmosphere supports a mercury column about 760 mm high. The "atmosphere" became a convenient reference for a whole unit of ambient pressure. In 1954 the CGPM adopted the exact value 101,325 Pa, based on a 760 mm mercury column at 0 °C under standard gravity, to remove the temperature and location dependence of earlier definitions.

Law and Notable Facts

The standard atmosphere is accepted for use with the SI but is not an SI unit; the SI unit of pressure is the pascal. IUPAC now recommends the bar (100,000 Pa) rather than the atmosphere as the standard pressure for reporting thermodynamic data, though "atm" remains common. Note that the technical atmosphere (at) is a different unit equal to 98,066.5 Pa.

Real-World Examples and Conversions

  • Average sea-level air pressure is very close to 1 atm (101.325 kPa).
  • Ocean pressure increases by roughly 1 atm for every 10 meters of seawater depth, so a diver at 30 m experiences about 4 atm total.
  • A typical car tire inflated to 32 psi holds about 2.2 atm of gauge pressure.
  • The pressure inside a champagne bottle is roughly 6 atm (about 608 kPa).

What is the technical atmosphere?

The technical atmosphere (at) is a non-SI unit of pressure equal to one kilogram-force per square centimeter. It was widely used in engineering, especially in Europe, before the pascal became standard.

Definition

The technical atmosphere is defined as the pressure of one kilogram-force acting on one square centimeter:

1 at=98066.5 Pa1\ \text{at} = 98066.5\ \text{Pa}

This equals exactly 1 kgf/cm² (98,066.5 Pa), because standard gravity is 9.80665 m/s². It is close to, but distinct from, the standard atmosphere (atm = 101,325 Pa) and the bar (100,000 Pa).

Origin and History

The technical atmosphere arose from the gravitational metric system of units, which used the kilogram-force rather than the newton. Expressing pressure as kilogram-force per square centimeter was intuitive for engineers weighing loads, and the unit became common in mechanical and hydraulic engineering, boilers, and pneumatics through much of the 20th century.

Law and Notable Facts

The technical atmosphere is not part of the SI and its use is discouraged in favor of the pascal or bar. It is easily confused with the standard atmosphere; the two differ by about 3.3%. Gauge and absolute variants were often written "atü" (gauge) and "ata" (absolute) in German-language engineering.

Real-World Examples and Conversions

  • 1 at = 1 kgf/cm² = 98.0665 kPa ≈ 0.9678 atm.
  • 1 at ≈ 14.223 psi, close to but slightly below the 14.696 psi of one standard atmosphere.
  • A pressure of 10 at (about 981 kPa) is a common rating benchmark for industrial hydraulic components.
  • 1 at ≈ 0.980665 bar, so the bar and technical atmosphere differ by under 2%.

Frequently Asked Questions

How many technical atmospheres equal one standard atmosphere?

One standard atmosphere equals 1.033227 technical atmospheres.

How do I convert technical atmospheres back to atm?

Multiply the at value by 0.9678411. So 1 at equals about 0.968 atm.

What is the difference between atm and at?

The standard atmosphere is 101,325 Pa, while the technical atmosphere is 1 kgf/cm² = 98,066.5 Pa, so they differ by about 3.3%.

Where is the technical atmosphere still seen?

It appears on older European compressors, boilers, and gauges labeled in kgf/cm², where at rather than atm was the working unit.

What is 10 atm in technical atmospheres?

Multiply 10 by 1.033227 to get 10.33227 at.

Complete standard atmospheres conversion table

atm
UnitResult
pascals (Pa)101325 Pa
kilopascals (kPa)101.325 kPa
megapascals (MPa)0.101325 MPa
hectopascals (hPa)1013.25 hPa
millibar (mbar)1013.25 mbar
bar (bar)1.01325 bar
torr (torr)760 torr
meters of water @ 4°C (mH2O)10.33227 mH2O
millimeters of mercury (mmHg)759.9999 mmHg
centimeters of water (cmH2O)1033.227 cmH2O
technical atmospheres (at)1.033227 at
centimeters of mercury (cmHg)75.99999 cmHg
pounds per square inch (psi)14.69595 psi
kilopound per square inch (ksi)0.01469595 ksi
Inches of mercury (inHg)29.92126 inHg