Editing Van der Waals equation of state
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:<math>\left. | :<math>\left.V_c\right.=3b</math>. | ||
and | |||
:<math>\frac{ | :<math>\frac{p_cV_c}{T_c}= \frac{3R}{8}</math> | ||
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:<math>a= \frac{27}{64}\frac{R^2T_c^2}{ | :<math>a= \frac{27}{64}\frac{R^2T_c^2}{P_c}</math> | ||
:<math>b= \frac{RT_c}{ | :<math>b= \frac{RT_c}{8P_c}</math> | ||
==Virial form== | ==Virial form== | ||
One can re-write the van der Waals equation given above as a [[virial equation of state]] as follows: | One can re-write the van der Waals equation given above as a [[virial equation of state]] as follows: | ||
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The following image is a plot of the isotherms <math>T/T_c</math> = 0.85, 0.90, 0.95, 1.0 and 1.05 (from bottom to top) for the van der Waals equation of state: | The following image is a plot of the isotherms <math>T/T_c</math> = 0.85, 0.90, 0.95, 1.0 and 1.05 (from bottom to top) for the van der Waals equation of state: | ||
[[Image:vdW_isotherms.png|center|Plot of the isotherms T/T_c = 0.85, 0.90, 0.95, 1.0 and 1.05 for the van der Waals equation of state]] | [[Image:vdW_isotherms.png|center|Plot of the isotherms T/T_c = 0.85, 0.90, 0.95, 1.0 and 1.05 for the van der Waals equation of state]] | ||
==See also== | ==See also== | ||
*[[Zeno line#Batchinsky law | Batchinsky law]] | *[[Zeno line#Batchinsky law | Batchinsky law]] |