How much alcohol must be burned in order to obtain the same amount of heat as when burning coal

How much alcohol must be burned in order to obtain the same amount of heat as when burning coal with a mass of 2 kg? Specific heat of combustion of coal q = 27 × 10^6 J / kg, alcohol q = 30 × 10^6 J / kg.

Problem data: m2 (mass of taken coal) = 2 kg.

Reference values: according to the condition q1 (specific heat of combustion of alcohol) = 30 * 10 ^ 6 J / kg; q2 (specific heat of combustion of coal) = 27 * 10 ^ 6 J / kg.

The desired mass of alcohol can be expressed from the equality: m1 * q1 = Q (heat due to fuel combustion) = m2 * q2 and m1 = q2 * m2 / q1.

Calculation: m1 = 2 * 27 * 10 ^ 6 / (30 * 10 ^ 6) = 1.8 kg.

Answer: You will need to burn 1.8 kg of alcohol.



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