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Beer Foam IA

Extracts from this document...

Introduction

Physics SL II                Purvansh Trivedi

Period C                25/10/10

image00.png

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Calculating Values and Placing in Tables

For the Beer Foam Experiment, the main objective was to calculate the exponential decay of the foam in the beer when initially poured. Since it is impossible to count how many bubbles there are in the foam, we must use a formula to derive the exponential decay using the level of the beer until all the foam has evaporated.

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Middle

6.50

5.40

75

5.20

6.20

5.10

80

5.00

5.90

4.90

85

4.60

5.60

4.50

90

4.40

5.30

4.20

95

3.90

4.60

3.70

100

3.20

3.90

3.10

105

2.30

3.00

2.30

110

1.50

2.00

1.60

115

1.20

1.00

1.10

120

0.00

0.00

0.00

Now, we must calculate the average amount of foam, the uncertainty in the amount of foam and the natural log of the average amount of foam.

To calculate the average of the trials at each point, it is possible to use this formula:

image05.png

Average Height (cm)±0.01

8.00

7.90

7.80

7.67

7.53

7.40

7.30

7.17

6.97

6.80

6.60

6.40

6.17

5.98

5.77

5.50

5.27

4.90

4.63

4.07

3.40

2.53

1.70

1.10

0.00

Then, it is possible

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Conclusion

image11.png

After removing the outliers, it is possible to determine the final decay constant of the beer foam. Since the slope of the line of best fit is -0.00712, it is possible to assume that it is the same as the negative decay constant, -λ.

So the decay constant is λ = 0.00712. The maximum λ is 0.01580 and the minimum λ is 0.00100. It seems from this that the uncertainty is 0.0074.

 The half-life constant:

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