非理想气体等容摩尔热容计算的深入研究  

Extensive investigation on calculation of isochoric molar heat capacity for non-ideal gases

作　　者：丁社光 DING She-guang(School of Environment and Resources,Chongqing Technology and Business University,Chongqing 400067,China)

机构地区：[1]重庆工商大学环境与资源学院,重庆400067

出　　处：《大学物理》2025年第3期14-23,共10页College Physics

摘　　要：等容摩尔热容的计算涉及到化工热力学、数值分析、计算机程序设计多门课程知识,对其深入研究有助于培养学生综合应用不同学科的知识的能力.研究发现,体积或压力对非理想气体等容摩尔热容有较大的影响.以非理想气体状态方程为基础,通过实验测量或查文献得到温度T、压力p_(1)的C V的前提下,最终计算出温度T、压力p_(2)下的等容摩尔热容C_(V).计算结果与文献值进行比较.结果表明,在低温(<400 K)、高压(>10 MPa)条件下,压力对C_(V)的影响非常大,压力的影响不能忽略;而在高温或低压下,压力的影响非常小.Calculation of isochoric molar heat capacity refers to extensive utilization of chemical thermodynamics,numeric analysis,computer programming and so on,which is favorable for cultivation of students’comprehensive application.Various researches have revealed significant effect of volume(or pressure)on isochoric molar heat capacity of non-ideal gases.On basis of non-ideal gaseous state equations,the isochoric molar heat capacity C_(V)at(p_(2),T)is calculated under the condition of experimentally or literarily known C_(V)at(p 1,T).Comparison between calculation values and literature ones is carried out.The results show that C_(V)is affected considerably by pressure at low temperatures(<400K)and high pressures(>10MPa);effect of elevated pressure can not be ignored,whereas C_(V)is affected slightly at high temperatures or low pressures.

关 键 词：等容摩尔热容 数值积分 非理想气体状态方程 

分 类 号：O551.3[理学—热学与物质分子运动论]