Understanding the shower and bath cost calculator — concept and principle
Every shower costs twice: once for the water and sewer charge, and again for the energy that heats the water. The heating part is usually the bigger one. This calculator estimates both for a single shower, the water and energy used, and the yearly cost of a daily shower, from flow rate, minutes, temperature rise, prices and heater efficiency.
How it is calculated
- Water (L) = flow (L/min) × minutes
- Energy (kWh) = litres × 4.186 × temperature rise (K) ÷ 3,600 ÷ (efficiency ÷ 100)
- Cost per shower = litres ÷ 1,000 × water price per m³ + energy × energy price per kWh
- Yearly, daily shower = cost per shower × 365
Temperature rise is the difference between the cold supply and the water you shower in; 10 °C mains water heated to 40 °C is a 30 K rise. The water price should include sewer charges if they are billed per m³. Heater efficiency covers losses in the boiler or water heater.
The principle
Heating water needs energy equal to mass × specific heat × temperature change. Water's specific heat is about 4.186 kJ per kg per kelvin, and one litre weighs about one kilogram, so each litre warmed by 1 K needs 4.186 kJ. Dividing kJ by 3,600 converts it to kWh. A heater with 90% efficiency must use 1 ÷ 0.9 times that amount of fuel energy. For a bath, multiply the bath volume instead: a full bath typically holds 80–150 L.
Worked example
- Inputs: 9 L/min, 8 minutes, 30 K, water $3/m³, energy $0.10/kWh, 90% efficiency.
- Water: 9 × 8 = 72 L.
- Heat delivered: 72 × 4.186 × 30 ÷ 3,600 = 2.51 kWh.
- Energy bought: 2.51 ÷ 0.90 = 2.79 kWh.
- Cost: 72 ÷ 1,000 × $3 = $0.216 water + 2.79 × $0.10 = $0.279 energy, total $0.495, shown as $0.50.
- Yearly: $0.495 × 365 = $180.70.
| Heater efficiency (%) | Cost per shower |
|---|---|
| 22.5 | $1.33 |
| 45 | $0.77 |
| 67.5 | $0.59 |
| 90 | $0.50 |
| 112 | $0.44 |
| 135 | $0.40 |
| 180 | $0.36 |
How to read the result
Compare the water and energy parts to see where to save. Cutting minutes reduces both. A lower-flow shower head reduces both too; the US WaterSense label requires 2.0 gallons per minute (about 7.6 L/min) or less. A slightly cooler shower lowers the temperature rise, and the energy part falls in proportion.
Common mistakes
- Using the water heater's thermostat setting instead of the mixed shower temperature.
- Forgetting sewer charges in the water price.
- Using an electricity price when the water is heated by gas.
Frequently asked questions
Is a shower cheaper than a bath?
Compare litres: a 72 L shower uses less than a typical 80–150 L bath. A long, high-flow shower can use more.
How do I measure my shower's flow?
Time how long it takes to fill a bucket of known volume and divide litres by minutes.
Why does winter raise the cost?
Colder supply water means a bigger temperature rise and more energy per litre.
Sources: NIST Chemistry WebBook — thermophysical properties of water · U.S. EPA WaterSense — showerheads specification