?Calculate the volume occupied by \(1.00 \mathrm{mol} \mathrm{} \mathrm{N}_{2}\) using

Chapter 1, Problem P1C.4

(choose chapter or problem)

Calculate the volume occupied by \(1.00 \mathrm{mol} \mathrm{} \mathrm{N}_{2}\) using the van der Waals equation expanded into the form of a virial expansion at (a) its critical temperature, (b) its Boyle temperature. Assume that the pressure is 10 atm throughout. At what temperature is the behaviour of the gas closest to that of a perfect gas? Use the following data: \(T_{c}=126.3 \mathrm{K}\), \(T_{B}=327.2 \mathrm{K}\)K, \(a=1.390 \mathrm{dm}^{6} \mathrm{atmmol}^{-2}\), \(b=0.0391 \mathrm{dm}^{3} \mathrm{mol}^{-1}\).

Text Transcription:

1.00 mol N_2

T_c = 126.3 K

T_B = 327.2 K

a = 1.390 dm^6 atm mol^−2

b = 0.0391 dm^3 mol^−1.