A gold bar weighing 20 g, when cooled from 56 to 16 degrees Celsius, transferred 104 J of heat to the environment. What is the specific heat of gold?
Problem data: m (mass of a gold ingot) = 20 g (0.02 kg); t0 (temperature of the gold ingot before cooling) = 56 ºС; t (final temperature of the ingot) = 16 ºС; Q (the amount of heat given off by gold to the environment) = 104 J.
We express the specific heat of gold from the formula: Q = Cg * m * (t – t0), whence Cg = Q / (m * (t – t0)).
Calculation: Cs = 104 / (0.02 * (56 – 16)) = 130 J / (kg * ºС).
Answer: According to the calculation, the specific heat capacity of gold is 130 J / (kg * ºС).
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