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

1.3 (b) At 100°C and 1.60 kPa, the mass density of phosphorus vapour is 0.6388 kg m -3 . What is themolecular formula of phosphorus under these conditions?Solution:1.4 (b) A gas at 250 K and 15 atm has a molar volume 12 per cent smaller than that calculated from theperfect gas law. Calculate (a) the compression factor under these conditions and (b) the molar volumeof the gas. Which are dominating in the sample, the attractive or the repulsive forces?Solution:1.5(b) At 300 K and 20 atm, the compression factor of a gas is 0.86. Calculate (a) the volume occupiedby 8.2 mmol of the gas under these conditions and (b) an approximate value of the second virialcoefficient B at 300 K.Solution:

1.6(b) 1.19(b) The critical constants of ethane are Pc= 48.20 atm, Vc = 148 cm 3 mol -1 , and Tc = 305.4K. Calculate the van der Waals parameters of the gas and estimate the radius of the molecules.Solution:b = 4*N A (4πr 3 /3)r =1.7 (b) Use the van der Waals parameters for hydrogen sulfide to calculate approximate values of (a)the Boyle temperature of the gas (a = 4.484 L 2 atm mol -1 , b = 0.0434 L mol -1 .Solution:1.8 (b) Suggest the pressure and temperature at which 1.0 mol of (a) H 2 S, (b) CO 2 (c) Ar will be instates that correspond to 1.0 mol N 2 at 1.0 atm and 25°C.Solution:

1.8(b) A certain gas 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 infonnation calculate the van der Waalsconstant b. What is the compression factor for this gas at the prevailing temperature and pressure?Solution:1.9(b) The second virial coefficient of 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 of methane?Solution:1.10 (b) The second virial coefficient B' can be obtained £Tom measurements of the density p of a gasat a series of pressures. Show that the graph of p/ρ against p should be a straight line with sloperoportional to B'.Solution:1.11(b) The equation of state of a certain gas is given by P =RT/V m + (a + bT)/V 2 m , where a and b are V constants. Find TPSolution:

Solution:Solution:

Solution:Solution:

Solution:Solution:Solution:T 2

Solution:P 2 =Solution:Solution:

Solution:2.34(b)Solution:

2.35(b)2.36(b)Exercise:

2.37(b)2.38(b)

2.39(b)2.40 (b)

2.41 (b)