A 50 g sample of aluminum at 90 °C is placed into 100 g of water at 20 °C in a…

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A 50 g sample of aluminum at 90 °C is placed into 100 g of water at 20 °C in a perfectly insulated calorimeter. The specific heat capacities are

c_{\text{Al}} = 0.90\,\text{J g}^{-1}\!{}^{\circ}\text{C}^{-1}

and

c_{\text{water}} = 4.18\,\text{J g}^{-1}\!{}^{\circ}\text{C}^{-1}

. What is the approximate final equilibrium temperature of the system? (a)

43\ ^\circ\text{C}

(b)

50\ ^\circ\text{C}

(c)

27\ ^\circ\text{C}

(d)

70\ ^\circ\text{C}