# A steel part weighing 300 g was heated to a high temperature, and then immersed for quenching in 3 kg

A steel part weighing 300 g was heated to a high temperature, and then immersed for quenching in 3 kg of machine oil having a temperature of 100C. Determine the initial temperature of the part, if.

To find the initial temperature of the steel part taken, we use the equality: Cm * m1 * (t – tn1) = Cc * m2 * (tn2 – t), whence we express: tn2 = Cm * m1 * (t – tn1) / (Cc * m2 ) + t.

Constants and variables: Smm – specific heat of engine oil (for Tm-1 oil, Smm = 1640 J / (kg * K)); m1 is the mass of machine oil (m1 = 3 kg); t – equilibrium temperature (t = 30 ºС); tн1 – initial oil temperature (tн1 = 10 ºС); Сс – specific heat capacity of steel (Сс = 500 J / (kg * K)); m2 – part weight (m2 = 3 kg).

Calculation: tн2 = Cm * m1 * (t – tн1) / (Сс * m2) + t = 1640 * 3 * (30 – 10) / (500 * 0.3) + 30 = 676 ºС.

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