Compressed Air

General Gas Law — Compressed Air Calculator

General Gas Law

Compressed Air Theory Volume-flow conversion between two pressure & temperature states

An interactive recreation of a classic compressed-air reference sheet. All figures follow the ideal-gas model with absolute temperature T = 273 + t °C.

01

Volumetric flow — three references

Free air delivery (FAD)
m3/min · l/s
Compressor capacity expressed as free-air volume at intake (atmospheric) conditions.
Air delivery
m3/min · l/s
Volume actually delivered at the compressor outlet, in the compressed state. (1 m3/min = 1000/60 ≈ 16.67 l/s)
Normal flow
m3/min
Volume referred to a fixed datum — 0 °C and 1.013 bar(a) at sea level — i.e. normal m3 (a proxy for mass flow).
02

The general gas law

p·v / T = R (constant)   ·   p·V = m·Rs·T   ·   p·V = n·Ru·T
State variables p pressure, bar(a)
V volume, m3
v specific volume, m3/kg
T absolute temperature, K
Quantity m mass, kg
n amount of gas, kmol
M molar mass — air ≈ 28.96 kg/kmol
Gas constants Rs specific = 287.1 J/(kg·K)
Ru universal = 8314 J/(kmol·K)
Rs = Ru / M
P0·V0 / T0  =  Pi·Vi / Ti
valid for a fixed mass of gas  ·  T = 273 + t °C
03

Calculation — air delivery Vi at outlet conditions

Input / reference conditions (0)

l/s
bar(a)
°C

Outlet conditions (i)

bar(a)
°C
Vi / V0  volume ratio
Air delivery Vi
104.76l/s
= 6.285 m³/min
Vi = V0 · (P0 / Pi) · (Ti / T0), temperatures in kelvin. Ideal-gas model; real-gas and moisture effects neglected.
Built as a study tool — verify against equipment data sheets before engineering use.

Royal Belgian Institute of Marine Engineers