Inside a sealed

PHYSICS · Subjective · AP · Physics 2: Algebra-based · Thermodynamics · Thermodynamics

Problem

Inside a sealed, perfectly insulating box,

0.25\,\text{kg}

of aluminum at

200\,^{\circ}\!\text{C}

is placed in contact with

0.50\,\text{kg}

of water at

20\,^{\circ}\!\text{C}

. Assuming no phase changes and using

c_{\text{Al}} = 900\,\text{J/(kg\,K)}

and

c_{\text{water}} = 4200\,\text{J/(kg\,K)}

, determine the final equilibrium temperature of the contents of the box.