A 90-G Aluminum Calorimeter Contains 390 G of Water at an Equilibrium

Multiple Choice

A 90-g aluminum calorimeter contains 390 g of water at an equilibrium temperature of $20 ^ { \circ } \mathrm { C }$ A $160 - g$ piece of metal, initially at $305 ^ { \circ } \mathrm { C }$ is added to the calorimeter. The final temperature at equilibrium is 32° C. Assume there is no external heat exchange. The specific heat capacities of aluminum and water are 910 J/kg ∙ K (aluminum) and 4190 J/kg ∙ K (water) . What is the specific heat capacity of the 160-g piece of metal?

A) 470 J/kg ∙ K
B) 430 J/kg ∙ K
C) 350 J/kg ∙ K
D) 310 J/kg ∙ K
E) 510 J/kg ∙ K