Aquarium water-change sequence calculator

Calculate original water fraction remaining and original water volume remaining with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use original water fraction remaining and original water volume remaining to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Actual tank water (L)
180
Sequential replacement fractions
0.2,0.2,0.3
Original water fraction remaining
0.448
Original water volume remaining (L)
80.64
Total replacement water used (L)
126

Try another scenario

Actual tank water (L)
198.00000000000003
Sequential replacement fractions
0.2,0.2,0.3
Original water fraction remaining
0.448
Original water volume remaining (L)
88.704
Total replacement water used (L)
138.6
Calculation method

Calculation method

Original water fraction remaining

Complete mixing after each exchange: remaining fraction=product(1-changeFraction).

Original water volume remaining (L)

Complete mixing after each exchange: remaining fraction=product(1-changeFraction).

Total replacement water used (L)

Complete mixing after each exchange: remaining fraction=product(1-changeFraction).

Symbols and units
a
Actual tank water (L)
b
Sequential replacement fractions

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Calculation uses the entered values and stated mathematical model; quantities must use the labelled units. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Complete mixing after each exchange: remaining fraction=product(1-changeFraction).
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