Editing Van der Waals equation of state
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The van der Waals equation of state can be written as | The van der Waals equation of state can be written as | ||
:<math>\left | :<math> \left. p = \frac{ n R T}{V - n b } - a \left( \frac{ n}{V} \right)^2 \right. </math>. | ||
where: | where: | ||
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* <math> n </math> is the number of moles, | * <math> n </math> is the number of moles, | ||
* <math> T </math> is the absolute [[temperature]], | * <math> T </math> is the absolute [[temperature]], | ||
* <math> R </math> is the [[molar gas constant]]; <math> R = N_A k_B </math>, with <math> N_A </math> being the [[Avogadro constant]] and <math>k_B</math> being the [[Boltzmann constant]]. | * <math> R </math> is the [[molar gas constant]]; <math> R = N_A k_B </math>, with <math> N_A </math> being the [[Avogadro constant]] and <math>k_B</math> being the [[Boltzmann constant]]. | ||
==Critical point== | ==Critical point== | ||
At the [[Critical points |critical point]] one has <math>\left.\frac{\partial p}{\partial v}\right|_{T=T_c}=0 </math>, and <math>\left.\frac{\partial^2 p}{\partial v^2}\right|_{T=T_c}=0 </math>, leading to | At the [[Critical points |critical point]] one has <math>\left.\frac{\partial p}{\partial v}\right|_{T=T_c}=0 </math>, and <math>\left.\frac{\partial^2 p}{\partial v^2}\right|_{T=T_c}=0 </math>, leading to |