Physics

Physics

Problem

A 50.0 g50.0\,\text{g} sample of an unknown metal is heated to 100.0 ∘C100.0\,^{\circ}\text{C} and then quickly transferred to 60.0 g60.0\,\text{g} of water at 25.0 ∘C25.0\,^{\circ}\text{C} in an insulated calorimeter. The final equilibrium temperature is 30.0 ∘C30.0\,^{\circ}\text{C}. Assuming the heat capacity of the calorimeter itself is negligible and that the specific heat capacity of water is 4.18 J g−1 ∘C−14.18\,\text{J}\,\text{g}^{-1}\,^{\circ}\text{C}^{-1}, what is the specific heat capacity of the metal? a) 0.66 J g−1 ∘C−10.66\,\text{J}\,\text{g}^{-1}\,^{\circ}\text{C}^{-1} b) 1.20 J g−1 ∘C−11.20\,\text{J}\,\text{g}^{-1}\,^{\circ}\text{C}^{-1} c) 0.36 J g−1 ∘C−10.36\,\text{J}\,\text{g}^{-1}\,^{\circ}\text{C}^{-1} d) 0.25 J g−1 ∘C−10.25\,\text{J}\,\text{g}^{-1}\,^{\circ}\text{C}^{-1}

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