What is the mass of an iron billet if, when cooled from a temperature of 1200 C to 0 C

| January 10, 2021 | education

What is the mass of an iron billet if, when cooled from a temperature of 1200 C to 0 C, it was able to completely melt 2 kg of ice taken at a temperature of 0 C.

To find the value of the mass of the specified iron workpiece, we will use the equality: λ * ml = Q = Szh * mz * (t0 – t), whence we express: mz = λ * ml / (Szh * (t0 – t)).
Variables and constants: λ – specific heat of ice melting (λ = 3.4 * 10 ^ 5 J / kg); ml is the mass of melted ice (m = 2 kg); Сж – specific heat of iron (Сж = 460 J / (kg * K)); t0 – the initial temperature of the workpiece (t0 = 1200 ºС); t – final temperature (t = 0 ºС).
Calculation: mz = λ * ml / (Szh * (t0 – t)) = 3.4 * 10 ^ 5 * 2 / (460 * (1200 – 0)) = 1.23 kg.
Answer: The mass of the specified iron workpiece is 1.23 kg.



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