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# Boyle's law report (DCP, CE)

Extracts from this document...

Introduction

Boyle’s Law Lab

Aim: To investigate the relationship between Volume and Pressure of a fixed amount of gas

Variables:

 Dependent variable Pressure of the gas Independent variable Volume of the gas Controlled variables Number of moles of gas

Data collection
Fixed amount of gas is 25ml = ± 1ml at 102 kPa (room pressure)

Raw Data

 Volume of the gas/ ml ± 1ml Pressure of the gas/ kPa ± 1 kPa Average pressure of the gas / kPa Random uncertainty of Pressure of gas ± kPa 1st trial 2nd 3rd 4th 5th 10 218 219 216 220 218 218 2.0 15 171 172 170 171 174 172 2.0 20 128 130 129 128 129 129 1.0 25 102 101 103 102 102 102 1.0 30 86 85 86 83 84 85 1.5 35 74 73 76 75 75 75 1.5 40 63 64 64 64 64 64 0.5 Mean: 1.4

The Random uncertainty was found by half of the range of the repeats.

Eg. the random uncertainty of pressure of gas when volume of gas is 10

=(220-216)/2=2

Uncertainty with measuring volume with syringe is taken to the smallest division of the measuring scale, which is ±1ml.

Data processing

Volume

Middle

Volume of the gas/ dm3 ± 0.001dm3

Average pressure of the gas / kPa

Random uncertainty of Pressure ± kPa

0.010

218

2.0

0.015

172

2.0

0.020

129

1.0

0.025

102

1.0

0.030

85

1.5

0.035

75

1.5

0.040

64

0.5

Mean:

1.4

Processed data graph

- The error bars for the random uncertainty for pressure is 1.4, which is so small that it is negligible in the graph.

- From the raw data graph, the line of best fit does not pass through the origin and the graph has a negative gradient, which may suggest a positive linear relationship between V and .

Pressure

The raw data graph suggests a positive linear relationship between V and . To transform data from P to , simply divide 1 by the average pressure of gas at each volume of gas.

Conclusion

Also, we may have accidentally left gaps in the connector between the pressure sensor and the syringe and may cause gas to leak from the syringe when pressure is added to the gas. This may cause uncertainties to the pressure measured. For improvement, we can reconnect the syringe and pressure sensor each time we repeat a measurement and start again with 25ml of gas at room pressure. This can control the number of mole to be constant throughout the experiment.

This student written piece of work is one of many that can be found in our International Baccalaureate Physics section.

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