Final answer:
The specific heat of copper is approximately 0.39 J/g °C.
Step-by-step explanation:
The specific heat of copper can be calculated using the equation:
q = mcΔT
where q is the heat energy added, m is the mass of the sample, c is the specific heat, and ΔT is the change in temperature. Plugging in the given values:
q = 117 J
m = 75.0 g
ΔT = 24.0°C - 20.0°C = 4.0°C
So the equation becomes:
117 J = 75.0 g * c * 4.0°C
Rearranging the equation to solve for c:
c = 117 J / (75.0 g * 4.0°C)
c ≈ 0.39 J/g °C
Therefore, the specific heat of copper is approximately 0.39 J/g °C.