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The energy required heating up a substance like a tank, swimming pool or similar within a certain time can be calculated as
q = m cp dt / t (1)
where
q = mean heat transfer rate (kW)
m = mass of substance (kg)
cp = specific heat capacity of the substance (kJ/kg oC)
t = heat up time (s)
Note that heat loss to the surroundings will extend the heating up time.
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