When a 200 g copper soldering iron was cooled to a temperature of 20 degrees, 30.4 kJ of energy was released.
| April 12, 2021 | education
When a 200 g copper soldering iron was cooled to a temperature of 20 degrees, 30.4 kJ of energy was released. Determine the initial temperature of the soldering iron.
To find the initial temperature of the copper soldering iron, apply the formula: Q = Cm * m * (t0 – t) and t0 = Q / (Cm * m) + t.
Values of variables and constants: Q – released amount of heat (Q = 30.4 kJ = 30.4 * 10 ^ 3 J); Cm – specific heat capacity of copper (Cm = 400 J / (kg * K)); m is the mass of the soldering iron (m = 200 g, in SI m = 0.2 kg); t – final temperature (t = 20 Сº).
Calculation: t0 = Q / (Cm * m) + t = 30.4 * 10 ^ 3 / (400 * 0.2) + 20 = 380 + 20 = 400 ºС.
Answer: The initial temperature of the soldering iron was 400 ºС.
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