# The steel hammer was quenched to 700 ° C and then rapidly cooled to 20 ° C. In this case, 275 kJ of heat

The steel hammer was quenched to 700 ° C and then rapidly cooled to 20 ° C. In this case, 275 kJ of heat was released. Find the mass of the hammer

To calculate the mass of a given steel hammer, we will use the formula: Q = Cc * m * (t2 – t1), from where we express: m = Q / (Cc * (t2 – t1)).
Constants and variables: Q – released heat (Q = 275 kJ = 275 * 10 ^ 3 J); Сс – specific heat capacity of steel (Сс = 500 J / (kg * K)); t2 – hardening temperature (t2 = 700 ºС); t1 – final temperature of the hammer (t1 = 20 ºС).
Calculation: m = Q / (Cc * (t2 – t1)) = 275 * 10 ^ 3 / (500 * (700 – 20)) = 0.809 kg = 808 g.
Answer: The mass of a given hammer is 808 g.

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