Final answer:
The unknown metal, with a specific heat capacity of approximately 0.24 J/g°C deduced from the heat loss of 1700 J while cooling from 225°C to 22°C, is most likely copper, which has a specific heat close to 0.39 J/g°C.
Step-by-step explanation:
To determine the identity of the metal based on the given information, we can use the formula for heat transfer:
Q = m × c × ΔT
Where:
- Q is the energy in joules (J)
- m is the mass in grams (g)
- c is the specific heat capacity (J/g°C)
- ΔT is the change in temperature (°C)
Given:
- Q = -1700 J (negative because energy is given off)
- m = 34.9 g
- ΔT = 225°C - 22°C = 203°C
We can solve for the specific heat capacity c:
c = -Q / (m × ΔT)
c = 1700 J / (34.9 g × 203°C)
c = 1700 J / (7085.7 g°C)
c = 0.24 J/g°C (approx.)
Comparing this value with standard specific heat capacities, we find that the closest match is copper with a specific heat capacity of approximately 0.39 J/g°C. Therefore, the unknown metal is most likely copper.