Final answer:
To determine the energy absorbed by the copper sculpture, multiply the mass (9.5 kg) by the specific heat capacity (390 J/kg°C) and the temperature change (58°C), resulting in an energy absorption of 215,010 Joules.
Step-by-step explanation:
To calculate the amount of energy absorbed by the copper sculpture as it heats up from 20°C to 78°C, you can use the specific heat formula: Q = mcΔT, where Q is the energy in joules, m is the mass in kilograms, c is the specific heat capacity in J/kg°C, and ΔT is the change in temperature in Celsius.
Given:
- Mass (m) = 9.5 kg
- Specific heat capacity of copper (c) = 390 J/kg°C
- Initial temperature = 20°C
- Final temperature = 78°C
- Temperature change (ΔT) = 78°C - 20°C = 58°C
Now, substitute the given values into the formula:
Q = (9.5 kg)(390 J/kg°C)(58°C)
Energy absorbed (Q) = 9.5 kg * 390 J/kg°C * 58°C = 215,010 Joules
Therefore, the copper sculpture absorbed 215,010 Joules of energy.