A sample of an unknown metal at is quickly transferred into of water at in a foam-cup…

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

Problem

45.0\,\text{g}

sample of an unknown metal at

98.6\,^{\circ}\text{C}

is quickly transferred into

100.0\,\text{g}

of water at

24.0\,^{\circ}\text{C}

in a foam-cup calorimeter that absorbs negligible heat. The mixture reaches thermal equilibrium at

28.4\,^{\circ}\text{C}

. Calculate the specific heat capacity of the metal in

\text{J}\,\text{g}^{-1}\,^{\circ}\text{C}^{-1}