Scholar Commons > College of Arts and Sciences > Mathematics and Statistics > UJMM: One + Two > Vol. 2 > Iss. 1 (2009)

#### Article Title

#### Publication Year

2009

#### Abstract

In this project the goal is to find the power of a CO_{2} compressor used in a process of storing CO_{2} underground. Although the compressor is not 100% efficient and does not exist under ideal conditions, the power can first be calculated as if it were under ideal conditions by calculating its enthalpy and entropy. Residual terms are then added to both the enthalpy and the entropy to account for the behavior of CO_{2} under non-ideal conditions. Since the sum of the change in entropy under ideal conditions and the residual terms for entropy is zero, a system of equations with the Redlich-Kwong equation of state can then be set up and solved for the unknown temperature and volume at the desired pressure. Once these are determined, they can be used to find the total change in enthalpy when the compressor is not under ideal conditions. Then, since the molar flow rate of CO_{2} is known, the power of the compressor, if it were 100% efficient, can be calculated and divided by its actual efficiency. The power needed to run the CO_{2} compressor was found to be 916.92 watts.

#### Recommended Citation

Wedebrock, Jennifer
(2009)
"Calculating Power of a CO_{2} Compressor,"
*Undergraduate Journal of Mathematical Modeling: One + Two*:
Vol. 2:
Iss.
1, Article 9.

DOI: http://dx.doi.org/10.5038/2326-3652.2.1.9

Available at:
http://scholarcommons.usf.edu/ujmm/vol2/iss1/9

#### Advisors:

Mohamed Elhamdadi, Mathematics and Statistics

Scott Campbell, Chemical & Biomedical Engineering

#### Problem Suggester:

Scott Campbell