What mass of sand can be heated from 18 to 78 degrees Celsius if you tell it 264 MJ.

Data: t1 (initial sand temperature) = 18 ºС; t2 (final sand temperature) = 78 ºС; Q (the amount of heat that was imparted to the sand) = 264 MJ = 264 * 10 ^ 6 J.

Reference values: C (specific heat capacity of sand) = 835 J / (kg * K).

The mass of sand that can be heated to a given temperature is determined from the formula: Q = C * m * (t2 – t1), whence m = Q / (C * (t2 – t1)).

Let’s calculate the mass of sand: m = 264 * 10 ^ 6 / (835 * (78 – 18)) = 5270 kg = 5.27 tons.

Answer: It will be possible to heat 5.27 tons of sand.