Question

Given that the vapor pressure of n-butane at 350 K is 9.4573 bar, find the volumes of (a) saturated-vapor and (b) saturated-liquid n-butane at these conditions as given by the Redlich/Kwong equation. \frac{350}{425.1} = 0.823 \frac{9.4573}{37.96} = 0.2491 q = \frac{\Psi_a(T_r)}{\Omega T_r} = 6.6048 \beta = \Omega \frac{P_r}{T_r} = 0.026214 (1) The saturated vapor Z = 1 + \beta - q\beta \frac{Z-\beta}{(Z+\epsilon\beta)(Z+\sigma\beta)} \rightarrow Z starts at Z = 1 and converges on Z = 0.8305 V = \frac{ZRT}{P} = 2555 \frac{cm^3}{mol} (2) The saturated liquid Z = \beta + (Z+\epsilon\beta)(Z+\sigma\beta)\left(\frac{1+\beta-Z}{q\beta}\right) \rightarrow Z starts at Z = \beta and converges on Z = 0.04331 V = \frac{ZRT}{P} = 133.3 \frac{cm^3}{mol}

          Given that the vapor pressure of n-butane at 350 K is 9.4573 bar, find the
volumes of (a) saturated-vapor and (b) saturated-liquid n-butane at these
conditions as given by the Redlich/Kwong equation.
\frac{350}{425.1} = 0.823	\frac{9.4573}{37.96} = 0.2491	q = \frac{\Psi_a(T_r)}{\Omega T_r} = 6.6048	\beta = \Omega \frac{P_r}{T_r} = 0.026214
(1) The saturated vapor
Z = 1 + \beta - q\beta \frac{Z-\beta}{(Z+\epsilon\beta)(Z+\sigma\beta)} \rightarrow Z starts at Z = 1 and converges on Z = 0.8305
V = \frac{ZRT}{P} = 2555 \frac{cm^3}{mol}
(2) The saturated liquid
Z = \beta + (Z+\epsilon\beta)(Z+\sigma\beta)\left(\frac{1+\beta-Z}{q\beta}\right) \rightarrow Z starts at Z = \beta and converges on Z = 0.04331
V = \frac{ZRT}{P} = 133.3 \frac{cm^3}{mol}

Given that the vapor pressure of n-butane at 350 K is 9.4573 bar, find the
volumes of (a) saturated-vapor and (b) saturated-liquid n-butane at these
conditions as given by the Redlich/Kwong equation.
(350)/(425.1) = 0.823 (9.4573)/(37.96) = 0.2491 q = ((Tr))/(ΩTr) = 6.6048 β= Ω(Pr)/(Tr) = 0.026214
(1) The saturated vapor
Z = 1 + β- qβ(Z-β)/((Z+ϵβ)(Z+σβ)) →Z starts at Z = 1 and converges on Z = 0.8305
V = (ZRT)/(P) = 2555 (cm^3)/(mol)
(2) The saturated liquid
Z = β+ (Z+ϵβ)(Z+σβ)((1+β-Z)/(qβ)) →Z starts at Z = βand converges on Z = 0.04331
V = (ZRT)/(P) = 133.3 (cm^3)/(mol)

Added by Aurora R.

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