Fictional worked example

Price one daily shower at its mixed temperature

A person’s shower delivers 40 L of mixed water at 38°C with a 13°C inlet. They estimate heat delivered to that volume, assuming negligible losses between heater and shower.

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Inputs and calculation

One shower
Tool inputValue
CurrencyUSD
Volume or billing unitliters
Volume (L)40
Temperature rise (°C)25
Heating methodElectric resistance
Efficiency (%)100
Energy price (USD per input kWh)0.25
Water price (USD/L)0

Heat delivered = 40 × 25 × 0.001163 kWh. Divide by 1 to get about 1.163 input kWh. Multiply input energy by 0.25, add 40 × 0 for water, then round to USD 0.29.

Tool result · USD 0.29

Thirty identical showers
Tool inputValue
CurrencyUSD
Volume or billing unitliters
Volume (L)1200
Temperature rise (°C)25
Heating methodElectric resistance
Efficiency (%)100
Energy price (USD per input kWh)0.25
Water price (USD/L)0

Heat delivered = 1200 × 25 × 0.001163 kWh. Divide by 1 to get about 34.89 input kWh. Multiply input energy by 0.25, add 1200 × 0 for water, then round to USD 8.72.

Tool result · USD 8.72

What the comparison shows

The monthly calculation multiplies unrounded daily energy by 30. Multiplying the displayed daily cost can introduce rounding error.

Assumptions and limits

This mixed-volume model is an energy balance. A tank may still store hotter water and draw extra energy to cover standby losses.

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