Help me with explanations and show me how to solve I feel lost 1.38. Calculate the Boyle temperatures for carbon dioxide,oxygen, and nitrogen using the van der Waals constants inTable 1.6. How close do they come to the experimental valuesfrom Table 1.5? 1.4 The second virial coefficient Bol) at various temperatureserature (K)He-3.347.411.712.212.312.011.510.7NeAr-35.4-6.0 -183.53.2-86.27.6-47.411.3-15.512.8-1.013.812.0J. S. Winn, Physical Chemistry, HarperCollins,ork, 1994Z=1+0TABLE 1.5 Boyle temperaturesfor various gases+is called the Boyle temperature, TB, of the gas. At that temperature, the com-ibility isGasH₂HeNeArN₂0₂CO₂CH₁Source: J. S. Winn, Physical Chemistry,HarperCollins, New York, 1994TB (K)11025127410327405713509e the additional terms will be neglected. This means thatZ=1nRTisacting like anhe nonideal gas is acting like an idealideal gas. Table 1.5 lists Boyle temperatures ofnonideal gases. The existence of Boyle temperature allows us to use nonideals to study the properties of ideal gases-if the gas is at the right temperature,successive terms in the virial equation are negligible.ne model of ideal gases is that (a) they are composed of particles so tiny comparede volume of the gas that they can be considered zero-volume points in space, andhere are no interactions, attractive or repulsive, between the individual gas par-However, real gases ultimately have behaviors due to the facts that (a) gas atomsmolecules do have a size, and (b) there is some interaction between the gas par-5, which can range from minimal to very large. In considering the state variables of5, the volume of the gas particles should have an effect on the volume V of the gas.interactions between gas particles would have an effect on the pressure p of the gas.aps a better equation of state for a gas should take these effects into account.1873, the Dutch physicist Johannes van der Waals (Figure 1.9) suggestedected version of the ideal gas law. It is one of the simpler equations of state forgases, and is referred to as the van der Waals equation:an²(V(p+ an)(v - nb)(1.20)ere n is the number of moles of gas, and a and b are the van der Waals con-ts for a particular gas. The van der Waals constant a represents the pressurerection and is related to the magnitude of the interactions between gas parti-The van der Waals constant b is the volume correction and is related to theof the gas particles. Table 1.6 lists van der Waals constants for various gases,ch can be determined experimentally. Unlike a virial equation, which fits be-ior of real gases to a mathematical equation, the van der Waals equation is athematical model that attempts to predict behavior of a gas in terms of realsical phenomena (that is, interaction between gas molecules and the physicales of atoms).s otherwise noted, all art on this page is Cengage Learning 2014.FIGURE 1.9 Johannes van der Waals(1837-1923), Dutch physicist who pro-posed a new equation of state for gases. Hewon a 1910 Nobel Prize for his work.TABLE 1.6 Van der Waals parametersfor various gasesGasAcetylene, C₂H₂Ammonia, NH3Carbon dioxide,CO₂Ethane, C₂H6Ethylene, C₂H₁Helium, HeHydrogen, H₂Hydrogenchloride, HClKrypton, KrMercury, HgMethane, CH4Neon, NeNitric oxide, NONitrogen, N₂Nitrogen dioxide,NO₂Oxygen, O₂Propane, C3H8Sulfur dioxide,SO₂Xenon, XeWater, H₂Oab(atm-L²/mol) (L/mol)0.051364.3904.1703.5925.4894.4710.035080.2443.6672.3188.0932.2530.21071.3401.3905.2841.3608.6646.7144.1945.4640.037070.04267ⒸMary Evans Picture Library/The Image Works0.06380.057140.02370.02660.040810.039780.016960.04280.017090.027890.039130.044240.031830.084450.056360.051050.03049Source: D. R. Lide, ed., CRC Handbook of Chemistry andPhysics, 82nd ed., CRC Press, Boca Raton, Fla., 2001.

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Boyle temperature is that particular temperature at which real gas tends to behave like ideal gas.…

1.38. Calculate the Boyle temperatures for carbon dioxide, oxygen, and nitrogen using the van der Waals constants in Table 1.6. How close do they come to the experimental values from Table 1.5?