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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 (γ) 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= q∆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 (±0.4) | p3 (±0.4) | p1 (±0.4) | p3 (±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 γ (Cp/Cv) from HCP.
| γ (1 bar, 300K) | Cv (1 bar, 300K) in KJ/Kg·K | Cp (1 bar, 298.15K) in J/mol·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 ± 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) (±1.6) | Carbon dioxide (CO2) (±1.6) | Nitrogen (N2) (±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 ×100% = 1.40-1.671.67×100% = 16.2%
%error= experimental-theoreticaltheoretical ×100% = 1.39-1.671.67×100% = 16.8%
%error= experimental-theoreticaltheoretical ×100% = 1.42-1.671.67×100% = 15.0%
Nitrogen (N2):
%error= experimental-theoreticaltheoretical ×100% =...

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