How much dry wood must be burned to obtain an amount of heat equal to the heat released during
August 28, 2021 | education|
How much dry wood must be burned to obtain an amount of heat equal to the heat released during the combustion of 20 liters of gasoline?
Vben = 20 l = 0.02 m ^ 3.
ρben = 710 kg / m ^ 3.
λdr = 1 * 10 ^ 7 J / kg.
λben = 4.6 * 10 ^ 7 J / kg.
Let us write down the amount of heat that is released during the combustion of gasoline and firewood: Qben = λben * mben, Qdr = λdr * mdr, where mben, mdr are the masses of burned gasoline and firewood, λben, λdr is the specific heat of combustion of gasoline and firewood.
mben = Vben * ρben.
λben * Vben * ρben = λdr * mdr.
mdr = λben * Vben * ρben / λdr.
mdr = 4.6 * 10 ^ 7 J / kg * 0.02 m ^ 3 * 710 kg / m ^ 3/1 * 10 ^ 7 J / kg = 65.3 kg.
Answer: you need to burn mdr = 65.3 kg of firewood.
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