Final answer:
The heat capacity of the metal slug is approximately 0.516 J/°C.
Step-by-step explanation:
The heat capacity of a metal slug can be calculated using the formula:
Heat capacity = q / (mass x ΔT)
Given that the temperature rise is from 25°C to 54°C, the ΔT is 29°C and the heat required is 135 J. Let's assume the mass of the metal slug is 'm'.
135 J = m x 0.14 J/g°C x 29°C
135 J = 0.14 m x 29 J/g
m = 135 J / (0.14 J/g°C x 29°C)
m ≈ 0.516 g
Therefore, the heat capacity of the metal slug is approximately 0.516 J/°C.