Serway & Jewett — The First Law of Thermodynamics: Problem 44.

A student measures the following data in a calorimetry experiment designed to determine the specific heat of aluminum: Initial temperature of water and calorimeter: \(70.0^\circ\text{C}\) Mass of water: \(0.400\text{ kg}\) Mass of calorimeter: \(0.040\text{ kg}\) Specific heat of calorimeter: \(0.63\text{ kJ/kg} \cdot ^\circ\text{C}\) Initial temperature of aluminum: \(27.0^\circ\text{C}\) Mass of aluminum: \(0.200\text{ kg}\) Final temperature of mixture: \(66.3^\circ\text{C}\) (a) Use these data to determine the specific heat of aluminum. (b) Explain whether your result is within 15% of the value listed in Table 19.1.