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Temperature Measurement · Free Calculator

Heating Power Calculator

Find the heater power needed to warm a batch of liquid, or how long an existing heater takes, from the volume, specific heat and temperature rise.

Heater sizingHeat up timeQ = m cp ΔTProcess heating
kJ/(kg·K)
°C
°C
min
%
Heater power58.14 kW
Energy required58.14 kWh
Mass heated1,000 kg
How this result was calculated
  1. Q = m × cp × ΔT = 1,000 × 4.186 × 45 = 188,370 kJ
  2. P = Q ÷ (η × t) = 58.14 kW
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Heat Energy Formula

Q = m × cp × ΔT
P = Q ÷ (η × t)

m is mass (kg), cp specific heat (kJ/kg·K; water 4.186, light oils about 2.0), ΔT the temperature rise and η the fraction of heater output that reaches the liquid.

Worked example

1000 L of water from 15 to 60 °C needs 1000 × 4.186 × 45 = 188,370 kJ. At 90 % efficiency in one hour that is 58.1 kW.

Key insight: this excludes heat lost from the tank during heating. For uninsulated tanks or long heat up times add the surface heat loss, which can be 10 to 30 % extra.
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Frequently Asked Questions

How many kW to heat 1000 litres of water?

Each 1 °C rise needs 4,186 kJ (1.163 kWh). Heating 1000 L by 45 °C in one hour needs about 52 kW plus losses.

What is specific heat capacity?

The energy needed to raise 1 kg of a material by 1 K. Water has one of the highest values, 4.186 kJ/(kg·K).

Does this work for gases?

Yes, with the gas mass and its cp. For flowing gas use mass flow instead of mass and the result is power directly.

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