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16     CHAPTER 1 Fundamental Concepts of Thermodynamics

        P1.36 A glass bulb of volume 0.198 L contains 0.457 g of gas  P1.39  Many processes such as the fabrication of integrated
        at 759.0 Torr and 134.0°C. What is the molar mass of the gas?  circuits are carried out in a vacuum chamber to avoid reac-
                                                 =           tion of the material with oxygen in the atmosphere. It is dif-
        P1.37 Use L’Hôpital’s rule, limCf(x)>g(x)D x:0
                                                             ficult to routinely lower the pressure in a vacuum chamber
            df(x)>dx
        limc        d    to show that the expression derived for   below 1.0 * 10 -10  Torr. Calculate the molar density at this
            dg(x)>dx  x:0                                    pressure at 300. K. What fraction of the gas phase molecules
        P in part (b) of Example Problem 1.1 has the correct limit  initially present for 1.0 atm in the chamber are present at
         f
        as g : 0 .                                           1.0 * 10 -10  Torr?
                      3
        P1.38 A 455 cm vessel contains a mixture of Ar and Xe. If the  P1.40 Rewrite the van der Waals equation using the molar
        mass of the gas mixture is 2.245 g at 25.0°C and the pressure is  volume rather than V and n.
        760. Torr, calculate the mole fraction of Xe in the mixture.
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