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Chapter 10 Additional Notes Ideal Example 1: a) To find the number of moles, we can use the ideal gas law since we know the pressure, volume and temperature. So we can write, PV = nRT Solving for the number of moles gives n = PV RT = 0.0616 moles

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b) Here we know the initial and final pressure, initial and final volume and initial temperature. So we can write P f V f = nRT f P 0 V 0 = nRT 0 Dividing these quantities gives P f V f P 0 V 0 = T f T 0 Solving for the final temperature gives T f = T 0 P f V f P 0 V 0 = 395.9 K
Ideal Example 2: a) To find the final pressure we can use the approach we used in part b) of the last problem. Again we know the initial and final volumes (which are the same), the initial and final temperature and the initial pressure. So we can write P 0 V 0 = nRT 0 P f V f = nRT f Again dividing these gives P f V f P 0 V 0 = T f T 0

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P f = P 0 T f T 0 = 1.24 × 10 5 Pa b) Looking at the free-body diagram we have F out
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