📈 System Parameters

Total fluid volume in piping, coils, and equipment
Static fill pressure at tank location; typically 10–20 psig
Relief valve setting minus 10%; typically 30–45 psig
Fill / cold temp; typically 40–60°F
Design operating temp; HHW 180–200°F, CHW 40–55°F

📚 Water Expansion Factors (ΔV/V)

Temp Range (°F)Water20% Glycol30% Glycol40% Glycol50% Glycol
50 → 1000.00160.00250.00300.00350.0042
50 → 1400.01380.01650.01800.01980.0220
50 → 1800.02990.03400.03650.03950.0430
50 → 2000.03860.04350.04650.05000.0545
50 → 2200.04810.05400.05750.06200.0670

Source: ASHRAE HVAC Systems & Equipment Handbook (expansion factor tables). Glycol values approximate — verify with manufacturer for exact concentration.

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About This Calculator

This calculator sizes the expansion tank for a closed hydronic loop — chilled water, hot water, or glycol — using the ASME diaphragm/bladder-tank method. Enter the system fluid volume, fill and maximum pressures, the cold and hot operating temperatures, and the fluid type. The tool returns required tank volume, acceptance volume, expansion volume, expansion factor, and recommended pre-charge pressure.

The expansion factor is derived from the fluid’s density change between the cold fill temperature and the hot design temperature, with an approximate correction for glycol concentration. Select the next standard tank size above the calculated requirement, and add a safety factor where header and coil volumes are uncertain.

Formula & Method

Expansion factore = (ρcold − ρhot) ÷ ρhot
Expansion volumeVe = Vsystem × e
Acceptance fraction1 − (Pfill,abs ÷ Pmax,abs)
Required tankVt = Ve ÷ [1 − (Pfill,abs ÷ Pmax,abs)]

This is the standard ASME / ASHRAE diaphragm-tank acceptance-volume relation. The expansion factor comes from interpolated water density (ASHRAE data, 40–212°F) with a glycol correction of about 1 + 0.45 × (glycol fraction). Pressures are converted to absolute by adding 14.696 psi (atmospheric) before forming the ratio. Pre-charge pressure is set equal to the system fill pressure at the tank. Glycol values are approximate — confirm with the manufacturer for the exact concentration.

Frequently Asked Questions

How is the required expansion tank volume calculated?
First the expansion volume is found by multiplying system fluid volume by the expansion factor, which is the fractional density change between the cold fill temperature and the hot design temperature. That expansion volume is then divided by the acceptance fraction, 1 minus the ratio of absolute fill pressure to absolute maximum pressure, to give the required diaphragm or bladder tank volume. This follows standard ASME and ASHRAE expansion-tank practice.
What pre-charge pressure should the tank be set to?
For a diaphragm or bladder tank, the air-side pre-charge is set equal to the system fill (minimum) pressure at the tank location before the system is filled. This tool reports the pre-charge equal to the fill pressure you enter. Setting pre-charge to fill pressure means the diaphragm just starts to accept water as the system warms above its cold fill condition.
Why does glycol require a larger expansion tank?
Glycol expands more than water over the same temperature rise, so its expansion factor is higher. This tool increases the water expansion factor by roughly 0.45 times the glycol fraction, so a 30 percent glycol system has an expansion factor about 13.5 percent larger than water. A higher expansion factor means more expansion volume and a larger required tank.
What is the difference between tank volume and acceptance volume?
Total tank volume is the full physical size of the tank shell. Acceptance volume is the amount of expanded system water the tank can actually take in between fill pressure and maximum pressure, equal to tank volume times the acceptance fraction. You size the tank so that its acceptance volume is at least the system expansion volume, then select the next standard tank size above the calculated requirement.

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Results are design estimates for preliminary sizing. Verify final designs against applicable codes and standards — engineering judgment and a licensed professional engineer’s review are required.