What mass of charcoal needs to be burned to release as much energy as when burning gasoline

What mass of charcoal needs to be burned to release as much energy as when burning gasoline, the volume of which is 4 liters.

Initial data: V2 (volume of gasoline burned) = 4 liters.

Constants: q1 (specific heat of combustion of charcoal) = 34 * 10 ^ 6 J / kg; q2 (specific heat of combustion of gasoline) = 46 * 10 ^ 6 J / kg; ρ2 (gasoline density) = 710 kg / m3.

SI system: V2 = 4 l = 4 * 10 ^ -3 m3.

We determine the mass of charcoal from the following equality:

q1 * m1 = q2 * ρ2 * V2, whence m1 = q2 * ρ2 * V2 / q1.

Let’s calculate: m1 = 46 * 10 ^ 6 * 710 * 4 * 10 ^ -3 / (34 * 10 ^ 6) = 3.84 kg.

Answer: 3.84 kg of charcoal will need to be burned.

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