Editing Van der Waals equation of state
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Latest revision | Your text | ||
Line 72: | Line 72: | ||
:<math>T_B = \frac{a}{bR}</math> | :<math>T_B = \frac{a}{bR}</math> | ||
==Dimensionless formulation== | ==Dimensionless formulation== | ||
If one takes the following | If one takes the following quantities | ||
:<math>\tilde{p} = \frac{p}{p_c};~ \tilde{ | :<math>\tilde{p} = \frac{p}{p_c};~ \tilde{v} = \frac{v}{v_c}; ~\tilde{t} = \frac{T}{T_c};</math> | ||
one arrives at | one arrives at | ||
:<math>\tilde{p} = \frac{8\tilde{t}}{3\tilde{ | :<math>\tilde{p} = \frac{8\tilde{t}}{3\tilde{v} -1} -\frac{3}{\tilde{v}^2}</math> | ||
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: |