Free Public health / Plumbing calculator

Hot and cold-water mixing calculator

Calculate mixed-water temperature from two amounts or find hot/cold proportions for a target temperature.

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Your result will appear here.Calculate to see the outputs, formula and substituted working.

How the calculation works

Simple sensible-heat balance assuming equal fluid properties and no losses.

Formula

Tm = (mhTh + mcTc) ÷ (mh + mc)

Worked example

Hot / cold temperatures60°C / 10°C
Amounts10 L / 10 L
Expected mixed temperature35°C

Assumptions and limitations

Assumptions

  • Hot and cold streams have equal density and specific heat.
  • No heat is lost during mixing.

What this does not check

  • Does not select or verify thermostatic mixing valves.
  • Does not assess storage hygiene, scald protection, pipe heat loss or draw-off conditions.
Formula version: 1.0 · Last reviewed: 16 August 2026

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Engineering basis: first-principles calculation using user-entered project data. The calculator does not choose design criteria or replace the complete project-specific engineering design.
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