Two separate experiments are carried out in identical

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

Problem

Two separate experiments are carried out in identical, insulated coffee-cup calorimeters, each containing

400\,\text{g}

of water initially at

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

. In Experiment A, a

200\,\text{g}

block of copper at

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

is submerged in the water. In Experiment B, a

200\,\text{g}

block of lead at

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

is used instead. Assume no heat is lost to the surroundings or to the calorimeter itself. The specific heat capacities are • copper:

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

• lead:

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

• water:

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

(a) For Experiment A, determine the final equilibrium temperature of the water-copper system. Show all reasoning, include units, and state the algebraic sign of

q

for each component (water and copper). (b) Repeat the calculations in part (a) for Experiment B with lead replacing copper. (c) Which metal transfers the greater magnitude of heat to the water? Support your answer quantitatively. (d) Explain, in terms of specific heat capacity and temperature change, why the metal identified in part (c) transfers a larger quantity of heat even though both metals have the same mass and initial temperature.

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