A metal sample at is placed into of water at inside a calorimeter whose heat capacity is

CHEMISTRY · Single correct · A Level · Chemistry · Energetics · Energetics

Problem

25.0\,\text{g}

metal sample at

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

is placed into

100.0\,\text{g}

of water at

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

inside a calorimeter whose heat capacity is

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

. The final temperature of the system is

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

. Given the specific heat capacity of water is

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

, what is the specific heat capacity of the metal? (a)

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

(b)

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

(c)

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

(d)

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