状态方程的摩尔体积的封闭式答案
1College of Mechanical and Power Engineering, China Three Gorges University, Yichang, 443002, Hubei, People's Republic of China. thl19732003@aliyun.com.
Scientific reports
|August 29, 2025
概括
格瓦拉-罗德里格斯状态方程准确地预测气体和液体的摩尔体积,优于其他模型. 它在广泛的温度和压力范围内提供可靠的计算,特别是在极低的条件下.
科学领域:
- 热力学
- 物理化学
- 化学工程
背景情况:
- 立方体状态方程对于确定摩尔体积等热力学属性至关重要.
- 现有的模型可能无法准确地捕捉极端条件下的行为,因此需要改进的配方.
- 立方函数的分析解法是解决状态方程的基础.
研究的目的:
- 为立方方程的根提供完整的分析解决方案.
- 使用特定的状态方程,应用这些解决方案来计算摩尔体积 (液体和蒸汽).
- 将格瓦拉-罗德里格斯状态方程的准确性与实验数据和其他模型进行比较.
主要方法:
- 对立方函数的根的分析解的导出和表化.
- 根据温度和压力计算摩尔体积的衍生式的应用.
- 用实验数据和来自其他状态方程的结果对计算的摩尔体积进行比较分析.
主要成果:
- 与其他模型相比,Guevara-Rodríguez状态方程与实验数据的一致性更高.
- 在极低的压力和温度条件下,该方程给出了三个不同的摩尔体积实数根.
- 最小的正根正确地确定了液相的摩尔体积.
结论:
- 格瓦拉-罗德里格斯状态方程是一个可靠的模型,用于预测各种物质和条件的摩尔体积.
- 这种模型在极低压力和温度范围 (0.000000356114,000 Pa和87.8266.3 K) 中表现出特别高的效率.
- 分析解决方案提供了一个可靠的框架,用于使用立方态方程来理解和计算相位行为.
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