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M V M V: 8.0 Calculations Experiment 1: Boyle's Law Experiment A) Condition 1

This document summarizes the results of three experiments: 1) Boyle's law experiment, where the author verified Boyle's law by showing negligible differences between initial and final pressure-volume products under three conditions. 2) Gay-Lussac law experiment, where temperature was shown to increase with pressure by taking temperature measurements at increasing pressure levels. 3) Isentropic expansion experiment, where the author determined the adiabatic index k by measuring temperature and pressure changes during an expansion. The calculated k value matched the theoretical value with less than 20% error, verifying an isentropic process.

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19 views6 pages

M V M V: 8.0 Calculations Experiment 1: Boyle's Law Experiment A) Condition 1

This document summarizes the results of three experiments: 1) Boyle's law experiment, where the author verified Boyle's law by showing negligible differences between initial and final pressure-volume products under three conditions. 2) Gay-Lussac law experiment, where temperature was shown to increase with pressure by taking temperature measurements at increasing pressure levels. 3) Isentropic expansion experiment, where the author determined the adiabatic index k by measuring temperature and pressure changes during an expansion. The calculated k value matched the theoretical value with less than 20% error, verifying an isentropic process.

Uploaded by

Ereen
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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8.

0 CALCULATIONS

Experiment 1: Boyles Law Experiment

A) Condition 1
V1 0.025m3
V2 0.01237m3
By using Boyles law,
P1V1 P2V2
P1V1 P2V2 before P1V1 P2V2 after

152.00.025 (102.7)(0.01237)kPa.m3 134.60.025 133.70.01237kPa.m3


5.0704 5.0189

The difference is only 0.0515. Therefore, the Boyles law is verified.

B) Condition 2

V1 0.025m3
V2 0.01237m3

By using Boyles law,

P1V1 P2V2
P1V1 P2V2 before P1V1 P2V2 after

103.50.025 52.60.01237kPa.m3 86.20.025 85.10.01237kPa.m3


3.2382 3.2077

The difference is only 0.0305. Therefore, the Boyles law is verified.

C) Condition 3

V1 0.025m3
V2 0.01237m3

By using Boyles law,


P1V1 P2V2
P1V1 P2V2 before P1V1 P2V2 after

152.20.025 54.80.01237kPa.m3 118.60.025 117.60.01237kPa.m3


4.4829 4.4197

The difference is only 0.0632. Therefore, the Boyles law is verified.


Experiment 2: Gay-Lussac Law Experiment

TemperatureTrial1 TemperatureTrial 2 TemperatureTrial 3


Averagetemperature
3

Pressure (kPa) Average temperature (C)

Pressure vessel Depressurise

vessel

103.9 (28.3 28.5 28.7)C (28.4 28.8 29.0)C


28.5C 28.7C
3 3

110 (28.8 28.6 28.7)C (28.7 29.6 29.9)C


28.7C 29.4C
3 3

120 (29.3 29.0 29.1)C (29.4 30.6 30.0)C


29.1C 30.0C
3 3

130 (30.0 29.7 29.9)C (30.4 31.9 30.1)C


29.9C 30.8C
3 3

140 (30.9 30.6 30.7)C (31.5 32.7 33.0)C


30.7C 32.4C
3 3
150 (31.8 31.6 31.6)C (32.2 33.3 33.3)C
31.7C 32.9C
3 3

160 (32.5 32.4 32.5)C (32.6 33.4 33.1)C


32.5C 33.0C
3 3

The pressure is directly proportional to temperature. Hence, the Gay-Lussacs Law is


verified.
Experiment 3: Isentropic Expansion Process

For isentropic process,

k 1

T2 P2 k

T1 P1
k 1

31.8C 103.8kPa k

33.4C 16.11kPa

31.8C k 1 103.8kPa
ln ln
33.4C k 161.1kPa

k 1
0.1116791478
k

k 1 0.1116791478k

0.8883208522k 1

k 1.1257

Theoritical value of k:

kJ
C p ,air 1.000
kg.K
kJ
Cv ,air 0.718
kg.K

C p ,air
k
Cv ,air
kJ
1.000
kg.K
k
kJ
0.718
kg.K
k 1.3928k 1.4
Difference of the theoritical value and experimental value= 1.3928 1.1257
=0.2671

kexp erimental ktheoritical


%error 100%
ktheoritical
1.1257 1.3928
%error 100%
1.3928
%error 19.177%

The difference is 0.2671 and the % error is below 50%. Hence, the expansion process
is proven as isentropic.

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