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A coffee-cup calorimeter of the type shown in Figure

Chemistry: The Central Science | 12th Edition | ISBN: 9780321696724 | Authors: Theodore E. Brown; H. Eugene LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward ISBN: 9780321696724 27

Solution for problem 100AE Chapter 5

Chemistry: The Central Science | 12th Edition

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Chemistry: The Central Science | 12th Edition | ISBN: 9780321696724 | Authors: Theodore E. Brown; H. Eugene LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward

Chemistry: The Central Science | 12th Edition

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5
Problem 100AE

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

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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

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Chapter 5, Problem 100AE is Solved
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Textbook: Chemistry: The Central Science
Edition: 12
Author: Theodore E. Brown; H. Eugene LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward
ISBN: 9780321696724

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A coffee-cup calorimeter of the type shown in Figure