The energy to heat one litre of water ( 1 kg) with specific heat 4.2 kJ/kg o C from 20 o C to boiling 100 o C can be calculated with the heating equation
q = m c p dt (1)
q = heat (J, Btu)m = mass of water (kg, lb)
c p = specific heat of water (J/kg o C, Btu/lb o F)
dt = temperature change ( o C, o F )
Inserting the values
q = (1 kg) (4.2 kJ/kg o C ) (1000 J/kJ) (( 100 o C ) - (20 o C ))
= 336000 J
= 336 kJ (kW/s)
= (336 kW/s) / (3600 s/h)
= 0.093 kWh
With energy content of air dryed wood 15 MJ/kg (15000 kJ/kg) and combustion efficiency 0.25 (25%) - the amount of wood to heat the water can be calculated as
m w = q / μ h w (2)
m w = mass of wood (kg)
μ = combustion efficiency
h w = energy content wood (kJ/kg)
Inserting the values
m w = (336 kJ) / 0.25 ( 15000 kJ/kg )
= 0.09 kg
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