Problem Set 2: Difference between revisions
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1) Use the ''Van der Waals equation'' to calculate the isothermal compressibility <math>\kappa_T = \left( \partial V / \partial P \right)_T</math>, at <math>T > T_c</math>. | 1) Use the ''Van der Waals equation'' to calculate the isothermal compressibility <math>\kappa_T = \left( \partial V / \partial P \right)_T</math>, at <math>T\; >\; T_c</math>. | ||
2) Determine its behavior near the critical point, and obtain the corresponding critical exponent <math>\gamma</math>, defined by <math>\kappa_T\; {\sim }\; |T - T_c |^{-\gamma}</math>. | 2) Determine its behavior near the critical point, and obtain the corresponding critical exponent <math>\gamma</math>, defined by <math>\kappa_T\; {\sim }\; |T - T_c |^{-\gamma}</math>. | ||
Revision as of 23:35, 19 January 2009
Critical behavior at the liquid-gas critical point
1) Use the Van der Waals equation to calculate the isothermal compressibility , at .
2) Determine its behavior near the critical point, and obtain the corresponding critical exponent , defined by .
