Turn pressures into reliable forces with clear units. Include gas density, mass, and weight automatically. Designed for engineers, students, and field troubleshooting today everywhere.
The calculator estimates net pressure force on an area and the weight of contained gas using an ideal-gas model with an optional compressibility factor.
Net pressure force on a surface comes from the pressure difference:
ΔP = Pinside,abs − Poutside,abs
F = ΔP · A
Gas density is estimated using the ideal-gas relationship with a compressibility factor:
ρ = (Pinside,abs · M) / (Z · R · T)
Gas mass and weight:
m = ρ · V and W = m · g
| Case | Inside Pressure | Outside Pressure | Temp | Area | Volume | Molar Mass | Z | ΔP (kPa) | Force (kN) | Gas Mass (kg) |
|---|---|---|---|---|---|---|---|---|---|---|
| Air vessel | 250 kPa (absolute) | 101.325 kPa | 25 °C | 0.20 m² | 0.05 m³ | 28.97 g/mol | 1.00 | 148.675 | 29.735 | 0.168 |
| CO₂ bottle | 60 bar (absolute) | 1 atm | 20 °C | 0.01 m² | 0.010 m³ | 44.01 g/mol | 0.90 | ~5,979 | ~59.8 | ~10.9 |
| HVAC duct | 1.2 kPa (gauge) | 101.325 kPa | 30 °C | 1.00 m² | 1.00 m³ | 28.97 g/mol | 1.00 | 1.2 | 1.2 | ~1.16 |
Example values are illustrative and may differ from real-gas behavior at high pressures.
Gas load is the net mechanical effect a gas produces on a surface and within a volume. For panels, covers, manways, or duct walls, the dominant term is pressure difference across the boundary. For vessels, the contained gas also has mass, adding weight that can matter for lifting, supports, and transport.
The calculator applies F = ΔP · A. A modest ΔP can create large forces over big areas. For example, a 1.0 m² access cover at only 20 kPa differential sees about 20 kN of load, which is roughly the weight of a small vehicle. Always check whether pressure is steady or transient.
Use the projected area normal to the pressure direction. Circular covers use A = πr²; rectangular panels use width × height. For curved surfaces, select the projected area for the force direction being evaluated. If you are verifying fasteners, use the effective gasket or bolt-circle area.
Gas density is estimated from ρ = (P·M)/(Z·R·T). At moderate pressure, Z is near 1. At higher pressures, real-gas effects can lower or raise density. If you have a datasheet, use a more accurate Z value for your gas and conditions to improve mass and weight estimates.
At fixed pressure, density varies approximately with 1/T. A change from 20°C (293 K) to 60°C (333 K) reduces density by about 12%. That difference can shift gas mass calculations for large volumes like storage bladders, long pipelines, or HVAC plenums.
Low-pressure ventilation systems often run below 2 kPa gauge. Industrial ductwork can be several kPa, while pressure vessels may operate from hundreds of kPa to many MPa. Compressed gas cylinders can be far higher. Use units carefully and verify whether instruments report gauge or absolute pressure.
If ΔP is negative, the force direction reverses, meaning the outside pressure dominates. This matters for inward buckling checks, doors that can slam shut, or implosion risk in evacuated chambers. The magnitude still represents the load level your structure must resist.
Confirm pressure reference (gauge vs absolute), confirm ambient pressure for elevation, and use consistent temperature units. For critical design, compare your force to allowable stresses and fastening limits, and consider dynamic loads, shock events, and safety factors. Export the report for traceability.
Use gauge when your instrument reads relative to ambient. Choose “Gauge” and enter outside pressure as ambient. Use absolute when your source already references vacuum. The calculator converts as needed.
Use local atmospheric pressure instead of sea-level standard. Lower ambient pressure increases the absolute inside value for the same gauge reading, affecting density and mass. Force depends on ΔP, so it changes if ambient changes.
Z adjusts the ideal-gas density for real-gas behavior. Near room conditions and low pressures, Z ≈ 1. At high pressure or near condensation, Z can deviate significantly. Use property tables when accuracy matters.
No. It estimates loads from pressure and gas weight. Code design also requires stress analysis, geometry rules, corrosion allowance, joint efficiency, and inspection requirements. Use this as a load input for engineering verification.
Force scales with area. Even small differentials become large loads over big surfaces. Recheck the area unit and confirm pressure units. Consider whether pressure is transient, like blowdown or fan startup, which can spike loads.
Yes. Set inside absolute pressure below outside, or use a negative gauge value by switching to absolute inputs. A negative ΔP indicates inward force. Validate vacuum ratings and buckling limits for thin walls and panels.
Report ΔP, loaded area, net force, gas density, and gas mass. Include temperature, molar mass, and Z used. The CSV and PDF exports capture the same information for traceable calculations.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.