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Vacuum Pump Down Time Calculator

Estimate the time a vacuum pump takes to evacuate a chamber or vessel from its starting pressure to a target pressure, or the pumping speed needed to do it in a given time.

Pump down timePumping speedRough vacuumChamber volume
Pump down time5.542 min
In seconds332.5 s
Pressure ratio101.3 : 1
Time constant V ÷ S1.2 min
How this result was calculated
  1. t = V ÷ S × ln(P₀ ÷ P₁) = 2 ÷ 100 m³/h × ln(1,013 ÷ 10) = 5.542 min
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Pump Down Equation

t = (V ÷ S) × ln(P₀ ÷ P₁)
S = (V ÷ t) × ln(P₀ ÷ P₁)

V is the chamber volume, S the effective pumping speed at the chamber (assumed constant over the range), P₀ the start pressure and P₁ the target pressure, both absolute. The equation applies in the rough vacuum range where gas load from outgassing and leaks is small.

Worked example

A 2 m³ vessel pumped from 1013 mbar to 10 mbar with an effective 100 m³/h: t = 2 ÷ 100 × ln(101.3) × 60 = 5.5 min.

Key insight: pump down time depends on the log of the pressure ratio, so going from 10 to 1 mbar takes as long as from 100 to 10 mbar with the same effective speed.
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Frequently Asked Questions

What is effective pumping speed?

The speed actually available at the chamber, lower than the pump nameplate because pipes and valves restrict flow.

Why does the time rise at low pressure?

Pumping speed of many pumps falls near their ultimate pressure, and outgassing from surfaces adds gas load.

Does temperature matter?

Only slightly in the rough vacuum range; the equation assumes isothermal pumping.

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