| 常用立方型状态方程系数的推导 |
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| 引用本文： | 赵金和.常用立方型状态方程系数的推导[J].化工高等教育,2012,29(5):85-88,97. |
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| 作者姓名： | 赵金和 |
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| 作者单位： | 百色学院化学与生命科学系,广西百色,533000 |
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| 基金项目： | 百色学院化学工程与工艺示范专业和学院青年教师成长工程资助项目 |
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| 摘 要： | 为了更深入理解、掌握立方型状态方程,笔者将临界点特征微分式应用于多个经典立方型状态方程(vdW方程、RK方程、SRK方程、PR方程),借助微积分、迭代,分别求出方程中的常数,vdW方程中的a=(27R2TC2)/(64pC),b=(RTC)/(8pC);RK方程中的a=0.42748(R2TC2.5)/(pC),b=0.08664(RTC)/(pC);SRK方程中的aC=α(T)×0.42748(R2TC2)/(pC),b=0.08664(RTC)/(pC);PR方程中的aC=α(T)×0.45725(R2TC2)/(pC),b=0.07779(RTC)/(pC);求解出的常数与教科书中提供的数值一致。立方型方程系数的推导,学生较好地锻炼了区分变量的问题,能为其后续剩余性质、偏摩尔性质的学习打下坚实的基础。
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| 关 键 词： | vdW方程 RK方程 SRK方程 PR方程 临界点 |
Derivation of Common Cubic State Equation Coefficient |
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| Zhao Jinhe.Derivation of Common Cubic State Equation Coefficient[J].Higher Education in Chemical Engineering,2012,29(5):85-88,97. |
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| Authors: | Zhao Jinhe |
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| Abstract: | For understanding and mastering cubic state equation, the author applied the critical point defi- nition formula into multiple cubic state equations （vdW equation, RK equation, SRK equation, PR equa- tion） to respectively obtain the constants in various equation by means of calculus and iteration： in vdW the ability of students differentiating variables was better exercised by derivation of cubic state equation coefficient, which lay a solid foundation for learning of subsequent residual property and partial molar property. |
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| Keywords: | vdW equation RK equation SRK equation PR equation Critical point |
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