The Beattie-Bridgman equation, a famous equation of state for real gases, may be written

Eq. 1.61

where a, A₀, b, B₀ and c are experimental constants and ν is the molar volume, 1/g mol. 

(a) Show that this equation can be put into the form of Eq. (1.54), and derive equations for the virial coefficients B, C, and D in terms of the constants in Eq. (1.61).

Eq. 1.54

(b) For air the constants are a = 0.01931, A₀ = 1.3012, b = -0.01101, B₀ = 0.04611, and c x 10^-4 = 66.00, all in cgs units (atmospheres, liters, gram moles, kelvins, with R = 0.08206). Calculate values of the virial coefficients for air in SI units. 

(c) Calculate z for air at a temperature of 300 K and a molar volume of 300 K and a molar volume of 0.200 m³/kg mol.

Transcribed Image Text:

11 RT[1-c/(vT³)] ¹ [u + Bo (1-²)]- (1-7) (1.61)