Final answer:
The specific heat capacity of the metal is 0.05 J/g°C. The metal's identity cannot be determined solely from this information.
Step-by-step explanation:
The specific heat capacity of a metal is a measure of how much heat energy is required to raise the temperature of a given mass of the metal by a certain amount. It is calculated using the formula:
Specific Heat Capacity = (Heat Energy Absorbed) / (Mass x Change in Temperature)
In the given example, the mass of the metal is 217 g, the change in temperature is (39.1 °C - 24.5 °C) = 14.6 °C, and the heat energy absorbed is 1.43 kJ = 1430 J. Plugging these values into the formula:
Specific Heat Capacity = (1430 J) / (217 g x 14.6 °C) = 0.05 J/g°C
Based on the specific heat capacity, the metal's identity cannot be determined solely from this information.