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The Behavior of Gases 1.1(b) (a) Could 25 g of argon gas in a ...

The Behavior of Gases 1.1(b) (a) Could 25 g of argon gas in a ...

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1.8(b) A certa<strong>in</strong> <strong>gas</strong> obeys the van der Waals equation with a = 0.76 m 6 Pa mol -1 . Its volume is found tobe 4.00 * 10 -4 m 3 mol -1 at 288K and 4.0 MPa. From this <strong>in</strong>fonnation calculate the van der Waalsconstant b. What is the compression factor for this <strong>gas</strong> at the prevail<strong>in</strong>g temperature and pressure?Solution:1.9(b) <strong>The</strong> second virial coefficient <strong>of</strong> methane can be approximated by the empirical equationwhere a = -0.1993 bar -1 , b = 0.2002 bar -1 , and c= 1131 K 2 with 300K < T < 600K . What is the Boyletemperature <strong>of</strong> methane?Solution:<strong>1.1</strong>0 (b) <strong>The</strong> second virial coefficient B' can be obta<strong>in</strong>ed £Tom measurements <strong>of</strong> the density p <strong>of</strong> a <strong>gas</strong>at a series <strong>of</strong> pressures. Show that the graph <strong>of</strong> p/ρ aga<strong>in</strong>st p should be a straight l<strong>in</strong>e with sloperoportional to B'.Solution:<strong>1.1</strong>1(b) <strong>The</strong> equation <strong>of</strong> state <strong>of</strong> a certa<strong>in</strong> <strong>gas</strong> is given by P =RT/V m + (a + bT)/V 2 m , where a and b are V constants. F<strong>in</strong>d TPSolution:

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