How much wood do you need to burn to heat a brick oven weighing 540 kg from 20 Celsius to 28 Celsius?

How much wood do you need to burn to heat a brick oven weighing 540 kg from 20 Celsius to 28 Celsius? neglect energy losses.

Initial data: m1 (mass of a brick oven) = 540 kg; t0 (initial temperature of the brick oven) = 20 ºС; t (brick kiln temperature after heating) = 28 ºС.

Reference data: C (specific heat of a brick) = 880 J / (kg * K); q (specific heat of combustion of dry wood) = 10 MJ / kg = 10 * 10 ^ 6 J / kg.

Since there is no energy loss by condition, the equality is true: C * m * (t – t0) = q * m2, whence m2 = C * m * (t – t0) / q.

Let’s perform the calculation:

m2 = 880 * 540 * (28 – 8) / (10 * 10 ^ 6) ≈ 0.38 kg.