# HW6_key - HW6_Chapter 21 21-2 Q The molar heat capacity of...

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HW6_Chapter 21 21-2: Q. The molar heat capacity of H 2 O(l) has an approximately constant value of from 0 to 100 . Calculate if two moles of H 2 O(l) are heated from 10 to 90 at constant pressure. A. We use Equation 21.9 to write 21-7: Q. The results of Problems 21-4 and 21-5 must be connected in the following way. Show that the two processes can be represented by the diagram where paths A and B represent the processes in Problem 21-5 and 21-4, respectively. Now, path A is equivalent to the sum of paths B and C. Show that is given by and that the result given in Problem 21-6 follows. A. In Problem 21-4, ethane is heated at constant volume, so (assuming ideal behavior)

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Likewise, in Problem 21-5, the system is kept at constant pressure and so These values correspond to those shown in the diagram. Now, path C represents an isothermal process. Because we are assuming ideal behavior, , which means that . Then we can write as (Equation 20.22) Note that path A is equivalent to the sums of paths B and C, so . Because and , we can write and the result given in Problem 21-6 follows.
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