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TheBlueprintof Water
Calculators
The PTSA tracer method

System Volume Calculator

Enter the weighed dose and the mixed fluorometer reading, then read the volume every later treatment calculation depends on. Method assumptions stay available without competing with the answer.

Model 07 · Open to everyone

Field reading

Set the tracer test

Dose, active content, and the mixed reading solve the volume.

lb

Weigh it, do not estimate it.

2.0%

From the product data sheet.

250ppb

Read after one complete turn of the loop or better.

1 · Dose0.10 lb PTSAKnown active tracer
2 · MixOne full turnUniform tracer field assumed
3 · Read250 ppbFluorometer closes the balance
Dose, mix, and readField method ready
System volume by PTSA tracer, liveTHE BLUEPRINT OF WATER · SYSTEM VOLUME BY PTSATHE LOOP, VOLUME UNKNOWN5.0 lb · 2.0% PTSA250 ppbFLUOROMETER
Diagram controlsInspect a live quantity
Live relationship

Current equation

Supporting readoutsSix measurementsOpen
Product dosed5.0lb
PTSA activity2.0%
Reading as ppm0.25ppm
Reading sensitivitySolved volume versus fluorometer reading250 ppb selected

Solved volume vs reading

Drag the plot to set the reading. Low readings expand the answer quickly, which is why background and full mixing matter.

0125,899251,799502505007501000FLUOROMETER PPBSOLVED GALBACKGROUND MATTERS HERE250 ppb, 47,962 gal
Reference

How the system volume model works

Every dose a loop will ever receive is calculated against its volume, and nameplate estimates are guesses. The PTSA tracer method measures the volume instead: dose a known mass of traced product, let it mix, read the tracer, and the dilution solves for the gallons that diluted it.

The instrument above runs the dilution live. The governing relationship is written out below.

The formulas follow Chapter 12 of the book, Cooling Things Down.

The tracer dilution

Volume=Product×Active×1068.34×PTSA\text{Volume} = \frac{\text{Product} \times \text{Active} \times 10^6}{8.34 \times \text{PTSA}}

A known mass of PTSA-traced product is dosed, allowed to mix, and the tracer is read. The dilution solves for the loop volume: more dilution of the same dose means a larger system.

Product
Traced product dosed into the loop (lb)
Active
PTSA active content of the product (%)
PTSA
Tracer after mixing (fluorometer reads ppb; ÷1000 to ppm) (ppm)
Assumes
  • Full mixing.
  • Zero PTSA background.
  • 8.34 lb per gallon of water.

Worked example

Take the room's default case: dose 5 lb of a 2 percent PTSA traced product into the loop, let it mix fully, and read 250 ppb of tracer.

Solved system volume
47,962 gallons

Half the tracer reading would mean twice the volume: more dilution of the same dose means a larger system.

Common questions

How does the PTSA tracer method work?
A known mass of PTSA traced product is dosed, allowed to mix, and the tracer concentration is read. The dilution solves for the loop volume: more dilution of the same dose means a larger system.
What does the method assume?
Full mixing before the reading, zero PTSA background in the starting water, and 8.34 pounds per gallon of water.
Why measure the volume instead of estimating it?
Every glycol target, nitrite residual, and inhibitor dose is calculated against the volume. A tracer measurement replaces pipe length guesswork with the volume the chemistry actually sees.