Final answer:
The specific heat capacity of the metal is approximately 1.16 J/g°C.
Step-by-step explanation:
To calculate the specific heat capacity of the metal, we can use the equation:
q = mcΔT
Where q is the heat absorbed by the metal, m is the mass of the metal, c is the specific heat capacity of the metal, and ΔT is the change in temperature.
From the given information, we have:
q = 173.4 J
m = 15.0 g
ΔT = 35.00°C - 25.00°C = 10.00°C
Plugging in these values into the equation, we get:
173.4 J = (15.0 g) * c * 10.00°C
Solving for c, we find:
c = 173.4 J / [(15.0 g) * 10.00°C]
c = 1.156 J/g°C
Therefore, the specific heat capacity of the metal is approximately 1.16 J/g°C.