Final answer:
The energy used to heat a piece of copper from 20 °C to 80 °C, with a mass of 2.5 g and a specific heat of 0.3845 J/g°C, is 57.68 joules (option A).
Step-by-step explanation:
To calculate the heat (Q) absorbed or released by a substance, we can use the equation Q = mcΔT, where:
- m is the mass of the substance,
- c is the specific heat capacity of the substance, and
- ΔT is the change in temperature.
For the piece of copper, we have:
- Mass (m) = 2.5 g,
- Specific heat (c) = 0.3845 J/g°C,
- Initial temperature = 20 °C,
- Final temperature = 80 °C,
- ΔT (Change in temperature) = Final temperature - Initial temperature = 80 °C - 20 °C = 60 °C.
Substituting these values into the equation, we get:
Q = (2.5 g)(0.3845 J/g°C)(60 °C) = 57.68 J
Therefore, the energy used to heat the copper is 57.68 joules, which corresponds to option A.