Calculate how much centigrade steam will be required to heat a 200 kg concrete slab from

Calculate how much centigrade steam will be required to heat a 200 kg concrete slab from a temperature of 10 ℃ to a temperature of 40 ℃

Given: m1 (mass of the heated concrete slab) = 200 kg; t0 (initial temperature of the slab) = 10 ºС; t (final temperature) = 40 ºС.

Constants: Cb (specific heat capacity of concrete) = 710 … 1130 J / (kg * K), we take Cb = 920 J / (kg * K); L is the specific heat of condensation of water (L = 2.3 * 10 ^ 6 J / kg).

We express the mass of a centigrade vapor from the equality: Cb * m1 * (t – t0) = L * m1 and m1 = Cb * m1 * (t – t0) / L.

Calculation: m1 = 920 * 200 * (40 – 10) / (2.3 * 10 ^ 6) = 2.4 kg.

Answer: Requires 2.4 kg of centigrade steam.