A coffee-cup calorimeter of the type shown in Figure 5.18 contains \(150.0 \ g\) of water at \(25.1^{\circ} \mathrm{C}\). A \(121.0-g\) block of copper metal is heated to \(100.4^{\circ} \mathrm{C}\) by putting it in a beaker of boiling water. The specific heat of \(Cu(s)\) is \(0.385\mathrm{\ J}/\mathrm{g}-\mathrm{K}\). The \(Cu\) is added to the calorimeter, and after a time the contents of the cup reach a constant temperature of \(30.1^{\circ} \mathrm{C}\). (a) Determine the amount of heat, in \(J\), lost by the copper block. (b) Determine the amount of heat gained by the water. The specific heat of water is \(4.18\mathrm{\ J}/\mathrm{g}-\mathrm{K}\) . (c) The difference between your answers for (a) and (b) is due to heat loss through the Styrofoam® cups and the heat necessary to raise the temperature of the inner wall of the apparatus. The heat capacity of the calorimeter is the amount of heat necessary to raise the temperature of the apparatus (the cups and the stopper) by \(1 \ K\). Calculate the heat capacity of the calorimeter in \(J/K\). (d) What would be the final temperature of the system if all the heat lost by the copper block were absorbed by the water in the calorimeter?
Equation Transcription:
Text Transcription:
150.0 g
25.1 degree C
121.0-g
100.4 degree C
Cu(s)
0.385 J/g-K
Cu
30.1 degree C
J
4.18 J/g-K
1 K
J/K
September 11, 13, and 1 4 End of Chapter 1 (Form, Function, and Homeostasis); Chapter 2 (Chemistry) Human Structure; Human Function; Atoms, Ions, and Molecules; Water and Mixtures; Energy and C hemical Reactions Hierarchy of complexity Reductionism- system understood by studying simpler components (Aristotle) Holism- emergent properties of whole can’t be predicted from separate parts Dialectical materialism examines how complexity arises, opposed to idealism Reductionism not sufficient to understanding complete workings of living systems Anatomical variation Some people don’t have palmaris longus muscle or plantaris muscle 4-6 lumbar vertebra; 1-2 spleen(s); 1-2 kidney(s); 1-2 renal arteries; 1-2 ureters Situs inversus- organs of thoracic and abdominal cavities are reversed left-right Dextrocardia- h eart witches right-left Situs perversus- single organ occupies atypical position (pelvic kidney) Life- composed of cells; ability to sense and react to stimuli (responsiveness) Energy use/metabolism, internal chemical changes; excretion Anabolism- synthesis Catabolism- breakdown Basic metabolic rate (BMR)- rate of metabolism at rest/thermoneutral