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# The Heat Capacity Ratio Of Gases

1064 words - 5 pages

Purpose: The purpose of this experiment was to determine the heat capacity ratio (Î³) for Helium (He), Nitrogen (N) and Carbon dioxide (CO2) and then compares these values with the theoretical (literature) values.
Introduction:
Heat capacity is an important thermodynamic concept that is related to both entropy and enthalpy. Heat capacity (C) is a path function that is defined as the amount of heat required to change a substance's temperature by a given amount. Heat capacity can be calculated suing the following formula:
C= qâˆ†T
Since heat capacity is a path function, it has to thermodynamic paths: heat capacity at constant volume (Cv) and heat capacity at constant pressure (Cp). The ...view middle of the document...

4) | p1 (Â±0.4) | p3 (Â±0.4) | p1 (Â±0.4) | p3 (Â±0.4) |
220.4 | 29.1 | 261.8 | 45.8 | 278.7 | 63.7 |
278.3 | 29.4 | 277.8 | 25.3 | 289.0 | 64.8 |
308.3 | 46.9 | 298.0 | 44.5 | 269.3 | 59.7 |
300.4 | 75.6 | 283.1 | 40.1 | |
275.7 | 69.0 | 307.2 | 42.6 | |
198.9 | 51.1 | 200.3 | 34.1 | |
283.4 | 64.7 | 299.6 | 58.2 | |
281.9 | 74.8 | | |
285.3 | 68.2 | |
302.0 | 70.5 | |
*Note that Helium and carbon dioxide measurement were taken by my partners and me, while the nitrogen data was taken by another group.
Literature Values
Table 3: Literature values of Cv, Cp and Î³ (Cp/Cv) from HCP.
| Î³ (1 bar, 300K) | Cv (1 bar, 300K) in KJ/KgÂ·K | Cp (1 bar, 298.15K) in J/molÂ·K |
He | 1.67 | 3.116 | 20.8 |
N2 | 1.40 | 0.7432 | 29.1 |
CO2 | 1.29 | 0.6593 | 37.1 |

Table 4: The molecular weight of helium, nitrogen and carbon dioxide taken HCP.
MW of Helium (He) | MW of Nitrogen (N2) | MW of carbon dioxide (CO2) |
4.003 g/mol | 28.02 g/mol | 44.01 g/mol |

p2= 760.84 Â± 0.22 (mm Hg)
CO2 at 298K, x=3.3
Calculations:
Sample calculations of Cp/Cv
Helium trail 1:
CpCv=In p1-In p2In p1-In p3 = (In 981.24-In 760.84)/ (In 981.24-In 78.94) = 1.173

Table 5: The calculated experimental values of Cp/Cv for helium (He), nitrogen (N2) and carbon dioxide (CO2).
Helium (He) (Â±1.6) | Carbon dioxide (CO2) (Â±1.6) | Nitrogen (N2) (Â±1.6) |
1.17 | 1.25 | 1.35 |
1.14 | 1.12 | 1.34 |
1.21 | 1.21 | 1.33 |
1.40 | 1.19 |
1.39 | 1.19 |
1.24 | 1.23 |
1.35 | 1.29 |
1.42 |
1.37 |
1.36 |

Helium (He):
%error= experimental-theoreticaltheoretical Ã—100% = 1.40-1.671.67Ã—100% = 16.2%
%error= experimental-theoreticaltheoretical Ã—100% = 1.39-1.671.67Ã—100% = 16.8%
%error= experimental-theoreticaltheoretical Ã—100% = 1.42-1.671.67Ã—100% = 15.0%
Nitrogen (N2):
%error= experimental-theoreticaltheoretical Ã—100% =...

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