What is The Physics of Closed-System Thermal Expansion?
Mathematical Foundation
Laws & Principles
- The Pre-Charge Mandate: An expansion tank arrives from the factory pre-charged to 40 PSI. This is almost never correct for your house. You MUST use a tire pump or compressor to manually adjust the air pressure inside the tank to exactly match your incoming static city water pressure before installing it.
- The Acceptance Factor: The tank's listed size (e.g., 2 gallons) is its outer shell volume, not how much expanded water it can actually hold against air pressure. The Acceptance Factor math determines how much internal diaphragm flex is mathematically possible before the pressure hits the dangerous 150 PSI relief limit.
- Absolute Pressures: Boyle's Gas Law requires using absolute pressure (PSIA), which means adding 14.7 to your gauge PSI readings to account for standard atmospheric pressure on Earth.
Step-by-Step Example Walkthrough
" A plumber is installing a 50-gallon water heater in a home with a closed system (a PRV is installed). The city water pressure gauge at a hose bib reads 70 PSI. The water heater has a standard 150 PSI T&P valve. "
- 1. Calculate Expansion Limit: 50 gallons × 0.015 expansion factor = 0.75 gallons of new water will be created during heating.
- 2. Convert Pressures to Absolute: Static = 70 + 14.7 = 84.7 PSIA. Relief = 150 + 14.7 = 164.7 PSIA.
- 3. Determine Acceptance Factor: (164.7 - 84.7) / 164.7 = 0.485 (This means 48.5% of the tank can be utilized).
- 4. Calculate Final Tank Size Requirement: 0.75 gallons of expansion / 0.485 acceptance factor = 1.54 Gallons.