An Empirical Formula of Mean Specific Heat Capacity of Ideal Gases

DOI

10.2991/emim-15.2015.206How to use a DOI?

Keywords

Thermodynamics; Ideal gas; Mean specific heat capacity; Formula; Fitting

Abstract

The method of formulation of tabular data of mean specific heat capacity of gases is discussed and an empirical formula to fit these data is given in this paper. A linear function of temperature is chosen as the formula to piecewise fit mean isobaric specific heat capacity data over a wide range of temperature. For seven gases including air, CO, CO2, O2, N2, H2O and SO2, the coefficients of the formula are regressed by means of least square method in the range of temperature 0 to 1200 and listed. The whole temperature interval is divided into 3 subintervals: 0 - 300 , 300 - 800 and 800 -1200 , and fitting is done in the subintervals. The average deviations of the calculated values of the formula and reference values of mean isobaric specific heat capacity are less than 0.3% for all the gases in the temperature range from 0 to 1200 , except CO2. For CO2, only in the subinterval of 300 to 800 is the average deviation 0.36%, and in other subintervals the average deviations are less than 0.3%.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Hong Xiao
AU  - Hui Liu
PY  - 2015/04
DA  - 2015/04
TI  - An Empirical Formula of Mean Specific Heat Capacity of Ideal Gases
BT  - Proceedings of the 2015 International Conference on Education, Management, Information and Medicine
PB  - Atlantis Press
SP  - 1049
EP  - 1052
SN  - 2352-5428
UR  - https://doi.org/10.2991/emim-15.2015.206
DO  - 10.2991/emim-15.2015.206
ID  - Xiao2015/04
ER  -