090127_Homework2_answer - 1 Homework 2 Answer (Due...

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Unformatted text preview: 1 Homework 2 Answer (Due 01/28/2009 Wednesday) 1. (a) Calculate the molar volume, temperature, pressure of H 2 O at the critical point using van der Waals parameters a and b (see Table 1.1). (b) Obtain the density of H 2 O at the critical point, and compare it with that of liquid H 2 O (~1 g/mL). Assume that the molar mass of H 2 O is 18.0. a) at critical point b 3 V C = 2 C 27b a P = 27Rb 8a T C = 1 1 C 09147 . 03049 . 3 3 V = = = Lmol Lmol b bar Lmol 6 . 220 ) 03049 . ( 27 barmol 5.537L 27b a P 2 1-2 2 2 C = = = K Lmol mol LbarK 16 . 647 03049 . 0831447 . 27 barmol 5.537L 8 27Rb 8a T 1 1 1-2 2 C = = = b) Density at critical point: mL g L mL / 197 . 1 1000 l 0.09147Lmo 18.0gmol D 1--1 = = 2. Calculate the pressures for (a) He and (b) H 2 O from van der Waals equation when the molar volume is 0.3 L and 310 K. a) bar bar bar Lmol Lmol Lmol K V b V m m 773 . 92 384 . 157 . 93 ) 3 . ( barmol 0.0346L 0238 . 3 . 310 mol barK 0.083dm a RT P 2 1-2 2 1 1-1-1 3 2 He = = = = b) bar bar bar Lmol Lmol Lmol K V b V m m 948 . 33 522 . 61 470 . 95 ) 3 . ( barmol 5.537L 03049 . 3 . 310 mol barK 0.083dm a RT P 2 1-2 2 1 1-1-1 3 2 O H 2 = = = = 2 3. (From Atkins Ch1) The critical constants of methane are pc = 45.6 atm, Vc = 98.7 cm 3 mol-1 . (a) Calculate the van der Wa a ls parameters of the gas. (b) Calculate the critical temperature Tc. (c) Estimate the radius of the molecules....
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090127_Homework2_answer - 1 Homework 2 Answer (Due...

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