8 **Problem 8: Calorimetry and Specific Heat Calculation**A 0.26 kg sample of an alloy is heated to 450°C. It is then placed in 0.52 kg of water that is at 20.0°C, which is contained in a 0.18 kg aluminum calorimeter cup. If the final temperature of the system (alloy, cup, and water) is 28.5°C, what is the specific heat of the alloy? **Approach to Solution:**To find the specific heat of the alloy, apply the principle of conservation of energy. The heat lost by the alloy will be equal to the heat gained by the water and the calorimeter cup.Use the formula:\[ Q = mc\Delta T \]where \( Q \) is the heat transfer, \( m \) is the mass, \( c \) is the specific heat, and \( \Delta T \) is the change in temperature.For the alloy:- Initial temperature \( T_i = 450°C \)- Final temperature \( T_f = 28.5°C \)- Change in temperature \( \Delta T = T_f - T_i \)For the water and the aluminum cup, do similar calculations to find the heat gained.Finally, solve for the specific heat of the alloy using:\[ c_{\text{alloy}} = \frac{Q_{\text{alloy}}}{m_{\text{alloy}} \times \Delta T_{\text{alloy}}} \] No graphs or diagrams are associated with this problem.

Mass of alloy , ma = 0.26 kgMass of water , mw = 0.52 kgmass of aluminum in aluminum calorimeter ,…

8. A 0.26 kg sample of an alloy is heated to 450°C. It is then placed in 0.52 kg of water that is at 20.0° C which is contained in a 0.18 kg aluminum calorimeter cup. If the final temperature of the system (alloy, cup and water) is 28.5°C then what is the specific heat of the alloy?

8. A 0.26 kg sample of an alloy is heated to 450°C. It is then placed in 0.52 kg of water that is at 20.0° C which is contained in a 0.18 kg aluminum calorimeter cup. If the final temperature of the system (alloy, cup and water) is 28.5°C then what is the specific heat of the alloy?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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