The buyer needed to buy 1 ton of coal, but it was not in the warehouse and he was offered

The buyer needed to buy 1 ton of coal, but it was not in the warehouse and he was offered to buy peat. How much peat do you need to buy to replace coal?

To replace coal with peat, it is necessary that the mass of burnt peat give the same amount of heat as 1 ton of coal.

Q1 = Q2.

Q1 (coal) = q1 * m1, where q (specific heat of combustion) = 2.7 * 10 ^ 7 J / kg, m1 (mass of coal) = 1 ton or 1000 kg.

Q2 (peat) = q2 * m2, where q (specific heat of combustion) = 1.4 * 10 ^ 7 J / kg, m2 (required mass of peat).

q1 * m1 = q2 * m2.

m2 = q1 * m1 / q2 = 2.7 * 10 ^ 7 * 1000 / 1.4 * 10 ^ 7 = 1929 kg.

Answer: You need to buy 1929 kg of peat.