A student determines the specific heat of an unknown metal. A 50.00 g chunk of metal is heated in a boiling water bath to 99.5 C and quickly transferred into 100.0 g of water at 22.0 C in a coffee-cup calorimeter. The water temperature rises to a maximum of 25.0 C. Specific heat of water = 4.18 J/(g*C). Calorimeter heat capacity is negligible.
What is the specific heat of the metal?
- A
0.067 J/(g*C)
- B
4.18 J/(g*C)
- Ccheck_circle
0.337 J/(g*C)
- D
0.840 J/(g*C)
Explanation
q_water = 100.0 * 4.18 * 3.0 = 1254 J. q_metal = -1254 J. c_metal = 1254 / (50.00 * (99.5-25.0)) = 1254 / 3725 = 0.337 J/(g*C).