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

PHYSICS · Multi-part · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

150\,\text{g}

sample of an unknown metal is heated to

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

and then quickly transferred to an insulated calorimeter containing

100.0\,\text{g}

of water at

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

. The calorimeter itself has a heat capacity of

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

. After thermal equilibrium is reached, the final temperature of the water and metal is

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

. Assume no heat is exchanged with the external environment. The specific heat capacity of water is

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

. (a) Calculate the quantity of heat absorbed by the water during the experiment. Include the correct sign and units. (b) Calculate the quantity of heat absorbed by the calorimeter. (c) Using conservation of energy, determine the specific heat capacity of the unknown metal. Show all steps leading to your answer and report the value with appropriate units. (d) State the algebraic sign of

q

for each component (metal, water, calorimeter) and describe how the results confirm the first law of thermodynamics for this system.

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