A 90 g aluminum calorimeter contains 390 g of water at an equilibrium temperature of

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Thermodynamics · Thermodynamics

Problem

20^\circ\text{C}

. A 160 g piece of metal, initially at

305^\circ\text{C}

is added to the calorimeter. The final temperature at equilibrium is

32^\circ\text{C}

. Assume there is no external heat exchange. The specific heat capacities of aluminum and water are

910 \text{ J/kg} \cdot \text{K}

(aluminum) and

4190 \text{ J/kg} \cdot \text{K}

(water). What is the specific heat capacity of the 160 g piece of metal? (a)

470 \text{ J/kg} \cdot \text{K}

(b)

430 \text{ J/kg} \cdot \text{K}

(c)

350 \text{ J/kg} \cdot \text{K}

(d)

310 \text{ J/kg} \cdot \text{K}