数值微分及积分在真实气体摩尔焓变计算中的应用  

Application of Numerical Differentiation and Integration in Calculation of Real Gas Molar Enthalpy Change

作　　者：彭昌荣 张燕 Peng Changrong(Xihua University School of Science,Chengdu 610039)

机构地区：[1]西华大学理学院,成都610039

出　　处：《化工设计》2022年第6期3-5,1,9,共5页Chemical Engineering Design

基　　金：西华大学校级特色专业建设基金,项目编号:05020193。

摘　　要：本文探讨了离散数据的三点、四点和五点数值微分及数值积分法计算真实气体的摩尔焓变问题。以SRK状态方程作为描述甲烷P-V-T行为的状态方程,详细演示了等温、压强变化时甲烷摩尔焓变的计算过程。编制了相应的MATLAB程序。该方法做一些修改可适用于其它热力学状态函数变化值的计算。This paper discusses the calculation of molar enthalpy change of real gas by three,four and five point numerical differentiation and numerical integration of discrete data.The SRK equation of state is used as the equation of state to describe the P-V-T behavior of methane.The calculation process of the molar enthalpy change of methane under isothermy and the change of pressure is demonstrated in detail.The corresponding MATLAB program is compiled.This method can be used to calculate the change value of other thermodynamic state functions with some modifications.

关 键 词：数值微分 数值积分 状态方程 摩尔焓变 状态函数 

分 类 号：O241.8[理学—计算数学] O6-04[理学—数学]