Final answer:
The specific heat of the metal is calculated as 0.138 J/g°C using the formula q = m × c × ΔT, where q is the heat absorbed, m is the mass of the metal, c is the specific heat capacity, and ΔT is the change in temperature.
Step-by-step explanation:
To calculate the specific heat of the metal, we use the formula:
q = m × c × ΔT, where q is the heat absorbed or released (3,135 J), m is the mass of the metal (63.0 g), c is the specific heat capacity, and ΔT is the change in temperature. Since we know the initial and final temperatures of the metal, we can find ΔT as 382°C - 20.0°C = 362°C.
Using the given values, we rearrange the formula to solve for c:
c = q / (m × ΔT)
Substituting the numbers in:
c = 3,135 J / (63.0 g × 362°C)
After calculating, we get the specific heat of the metal as c = 0.138 J/g°C.