The Pressure-Temperature Relation for High Pressure Gases with Compressibility Factor Z1
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摘要: 改良了文献[1]的近似处理方法，从求解新的非线性常微分方程中，导出了Z1的定容高压气体在(T0, p0)附近的压力与温度的关系。对照Redlich-Kwong方程的计算值表明，在|T|15 K时，其压力的平均相对误差小于0.9%。
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关键词:
- 位形积分 /
- 压缩因子 /
- Redlich-Kwong方程
Abstract: Using equation of state and other fundamental formulae in canonical ensemble, we derive a partial differential equation satisfied by high-pressure gases. With this equation it is possible to obtain a new nonlinear differential equation, which gives the pressure-temperature relation for a gas with high pressure in the vicinity of (T0, p0). Following this way, we can avoid computing configuration integrals and improve the previous approach given in Ref.1. The mean error of our results is found to be less than 0.9% for |T|15 K in comparison with those calculated with Redlich-Kwong equation.-
Key words:
- configuration integral /
- compressibility factor /
- Redlich-Kwong equation
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