Water heating energy calculator

Heating water is the same calculation as any other calorimetry, and water has a stubbornly high specific heat.

kW
%
per kWh
Time to heat
3:29:12
= Exact Water heating energy
Energy needed
10.460 kWh
Energy consumed
10.460 kWh
Cost
2.929
Cost of a 50 litre shower
0.814
Energy per litre
0.058 11 kWh/L
Temperature rise
50.0 K
Show the working
  1. Volume of water = 180
  2. Starting temperature = 10
  3. Target temperature = 60
  4. Heater power = 3
  5. Heating efficiency = 100
  6. Energy price = 0.28
  7. Temperature rise = 60 - 10 = 50
  8. energy_j = 180 * 4184 * 50 = 37 656 000
  9. Energy needed = 37 656 000 / 3600000 = 10.46
  10. Energy consumed = 10.46 / (100/100) = 10.46
  11. Time to heat = 3 > 0 ? 10.46 / 3 * 3600 : 0 = 12 552
  12. Cost = 10.46 * 0.28 = 2.9288
  13. Cost of a 50 litre shower = 180 > 0 ? 2.9288 * 50 / 180 : 0 = 0.813 556
  14. Energy per litre = 180 > 0 ? 10.46 / 180 : 0 = 0.058 111 1

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

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    The formula

    • energy = volume x 4184 J per litre per kelvin x temperature rise

    Water needs 1.16 Wh to raise one litre by one kelvin. A 180 litre cylinder from 10 to 60 degrees takes about 10.5 kWh.

    A heat pump water heater at COP 3 uses a third of the electricity for the same job, which is why the efficiency field goes above 100%.

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