The formulas and assumptions behind every calculator.
This page keeps the calculator methods in one place. It is meant for auditing, not for replacing product labels, equipment manuals, local rules, or professional advice when pool water is unsafe or unstable.
Formula usedRaise TA: gallons / 10,000 x ppm increase / 10 x 1.5 lb baking soda. Lower TA staged acid need: gallons / 10,000 x ppm decrease / 10 x 25.6 fl oz muriatic acid
Assumptions
The baking soda estimate uses a common planning rule of 1.5 lb per 10,000 gallons for each 10 ppm TA increase.
Lowering total alkalinity is not a one-step chemical add. Acid lowers pH and TA, then aeration helps pH recover.
The acid result is a staged planning amount, not a one-pour dose. Large alkalinity moves should be split with pH and TA retesting.
CDC Model Aquatic Health CodePublic pool health-code context for cyanuric acid, stabilized chlorine, and the way CYA changes chlorine effectiveness; useful for safety framing but not a residential pool rulebook.
Formula usedCubic feet of water x 7.48 = US gallons
Assumptions
Average depth is used for sloped pools because most pool chemical labels dose from estimated total water volume.
Round and oval pools use geometric surface-area formulas, so steps, ledges, spas, and freeform areas should be estimated separately when they are large.
The 8-hour turnover estimate divides gallons by 480 minutes and does not replace pump curve or plumbing calculations.
Formula usedRequired GPM = pool gallons / turnover hours / 60
Assumptions
The result is a turnover planning flow, not an exact horsepower recommendation.
Final pump selection depends on pump curve, total dynamic head, plumbing layout, filter rating, heater flow, electrical requirements, and local code.
Filter maximum flow can limit the practical target. If required GPM exceeds the filter rating, a longer runtime or equipment review is needed.
References checked
ENERGY STAR pool pump specificationDefines pump performance curve, system curve, operating point, flow rate, and energy-factor context for pool pumps.
Pentair IntelliFlo3 VSF pump informationManufacturer context for variable-speed and variable-flow pumps, including why flow planning depends on equipment and operating conditions rather than a simple horsepower lookup.
Formula usedBTU needed = pool gallons x 8.34 x temperature rise °F
Assumptions
This estimates heat-up energy, fuel use, and runtime from user-entered assumptions. It is not an exact monthly heating bill.
Heat pump COP, gas heater efficiency, propane heater efficiency, and electric price must be checked against local utility rates and equipment documentation.
Maintaining temperature depends on weather, wind, humidity, sunlight, evaporation, cover use, heater condition, and runtime strategy.
References checked
U.S. EIA energy units and calculatorsReference for Btu definition and common conversions between Btu, kWh, therms, and fuel units used in heating-cost estimates.
Formula usedPool gallons x ppm chlorine increase x 0.00000834 / product strength = product pounds
Assumptions
Liquid chlorine is converted from pounds to approximate gallons using 8.34 pounds per gallon as a planning shortcut.
Automatic CYA-based targets are limited to the published residential FC/CYA planning values from 20 through 80 ppm CYA. Below or above that range, enter the target from the method, product label, or equipment guidance you are using.
Old liquid chlorine may be weaker than its label strength, so dose conservatively and retest.
References checked
Florida DEP water formulasPublic operator formula sheet that includes pounds, dose, flow, and 8.34 water-treatment relationships.
CDC healthy swimmingGeneral public-health context for recreational water and swimmer safety.
Trouble Free Pool FC/CYA ChartPublished residential FC/CYA planning chart used for the exact automatic shock targets from 20 through 80 ppm CYA; it is a community methodology, not CDC guidance, a code, or a product label.
Constant-by-constant sources
CYA 20-80 ppm -> FC 10-31 ppmThe automatic table uses the source chart values: 20 -> 10, 30 -> 12, 40 -> 16, 50 -> 20, 60 -> 24, 70 -> 28, and 80 -> 31 ppm FC.Relationship: direct residential planning method.Trouble Free Pool FC/CYA Chart
CYA below 20 ppm or above 80 ppmThe calculator intentionally does not extrapolate the table. Enter the target specified by the method, label, equipment, or local guidance you are using.Relationship: manual target required.