A sample of an unknown metal is heated to and then quickly transferred to of water at…

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

50.0\,\text{g}

sample of an unknown metal is heated to

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

and then quickly transferred to

60.0\,\text{g}

of water at

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

in an insulated calorimeter. The final equilibrium temperature is

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

. Assuming the heat capacity of the calorimeter itself is negligible and that 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)

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

(b)

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

(c)

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

(d)

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