The steel hammer was heated for quenching to a temperature of 720 ° C, then rapidly cooled to a temperature of 10 ° C.

The steel hammer was heated for quenching to a temperature of 720 ° C, then rapidly cooled to a temperature of 10 ° C. At the same time, he gave the environment 298.2 kJ of energy. Find the mass of the hammer.

Given:

t0 = 720 ° Celsius – the initial temperature of the steel hammer;

t1 = 10 ° Celsius – temperature of the steel hammer after cooling;

Q = 298.2 kJ – the amount of energy that the hammer transferred to the environment as a result of cooling;

c = 462 J / (kg * C) – specific heat capacity of steel.

It is required to determine m (kilogram) – the mass of the steel hammer.

Let’s translate the units of measurement of energy into the SI system:

J = 298.2 kJ = 298.2 * 10 ^ 3 = 298,200 Joules.

Then, to determine the mass of the hammer, you must use the following formula:

Q = c * m * (t0 – t1), from here we find that:

m = Q / (c * (t0 – t1));

m = 298200 / (462 * (720 – 10)) = 298200 / (462 * 710) = 298200/328020 = 0.9 kilograms.

Answer: The mass of a steel hammer is 0.9 kilograms.