To Determine the Half Life of Beer Foam
Title
To determine the half-life of beer foam
Purpose
In this experiment, we will make the bear foam as much as possible by pouring fast and using warm beer and try to estimate the half-life of beer foam based on the changing of height while the foam is collapsing.
Theory
A quantity is said to be subject to exponential decay if it decreases at a rate proportional to its value. Symbolically, this process can be expressed by the following differential equation, where N is the quantity and λ (lambda) is a positive number called the decay constant.
Figure 1
Figure 1
Exponential laws are common to many physical phenomena. Examples are the amplitude of an oscillator subject to linear friction, the discharge of a capacitor, cooling processes, or radioactive systems. In this experiment, we will make the beer foam as much as possible by pouring fast and using warm beer. The bubbles burst randomly so rather like the decay of radioactive nuclei, the rate of decay of beer bubbles is proportional to the number of bubbles as follows: dNdt=-λN In order to solve this differential equation, we could apply the following formula:
N=N0e-λt
Where
No is the original number of bubbles
N is the number of bubbles at time t λ is the decay constant
Design
* Variables * Independent variables are time, measured in seconds after the beer is pouring into the graduated cylinder. * Dependent variable is the height of beer foam, measured in meters. * Controlled variables are apparatus used. Finally, the same person should carry out the investigation for just in case different people perform the experiment differently. * Calculation
However, in this experiment, it is impossible for us to count the exact number of beer bubbles. Alternatively, we could measure the height of beer which increases as bubble burst. Theoretically, these data would give us an exponential increase. Here, we measure the height of the beer downwards from the final level, which is the height of beer when there
To determine the half-life of beer foam
Purpose
In this experiment, we will make the bear foam as much as possible by pouring fast and using warm beer and try to estimate the half-life of beer foam based on the changing of height while the foam is collapsing.
Theory
A quantity is said to be subject to exponential decay if it decreases at a rate proportional to its value. Symbolically, this process can be expressed by the following differential equation, where N is the quantity and λ (lambda) is a positive number called the decay constant.
Figure 1
Figure 1
Exponential laws are common to many physical phenomena. Examples are the amplitude of an oscillator subject to linear friction, the discharge of a capacitor, cooling processes, or radioactive systems. In this experiment, we will make the beer foam as much as possible by pouring fast and using warm beer. The bubbles burst randomly so rather like the decay of radioactive nuclei, the rate of decay of beer bubbles is proportional to the number of bubbles as follows: dNdt=-λN In order to solve this differential equation, we could apply the following formula:
N=N0e-λt
Where
No is the original number of bubbles
N is the number of bubbles at time t λ is the decay constant
Design
* Variables * Independent variables are time, measured in seconds after the beer is pouring into the graduated cylinder. * Dependent variable is the height of beer foam, measured in meters. * Controlled variables are apparatus used. Finally, the same person should carry out the investigation for just in case different people perform the experiment differently. * Calculation
However, in this experiment, it is impossible for us to count the exact number of beer bubbles. Alternatively, we could measure the height of beer which increases as bubble burst. Theoretically, these data would give us an exponential increase. Here, we measure the height of the beer downwards from the final level, which is the height of beer when there
References: http://www.scientificsocieties.org/jib/papers/2006/G-2006-0327-417.pdf http://www.astronomynotes.com/solfluf/s4.htm http://en.wikipedia.org/wiki/Exponential_decay http://www.physics-inthinking.co.uk/dcp-and-ce-practicals/decay-of-beer-foam.htm http://www.mediacy.com/index.aspx?page=AS_138