To what temperature will a piece of tin with a mass of 10 g, taken at a temperature of 20C

To what temperature will a piece of tin with a mass of 10 g, taken at a temperature of 20C, be heated when 57 J of heat is transferred to it from a soldering iron?

Given: m (the mass of the tin piece taken) = 10 g (in SI m = 0.01 kg); t0 (tin temperature before heat transfer) = 20 ºС; Q (heat transferred from the soldering iron) = 57 J.

Constants: Co (specific heat of tin) = 230 J / (kg * K).

The temperature to which the taken piece of tin will be heated can be expressed from the formula: Q = Co * m * (t – t0), whence t – t0 = Q / (Co * m) and t = Q / (Co * m) + t0.

Let’s calculate: t = 57 / (230 * 0.01) + 20 = 24.78 + 20 = 44.78 ºС.

Answer: The taken piece of tin will heat up to 44.78 ºС.