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
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11769398832928 | 4.84890037 | 4.83310225 | 127.6 | 125.6 | 25.07 | 120.9 | 4.79496376 | 0.00117038928543778 | 4.80320104 | 4.78665806 | 121.9 | 119.9 | 30.20 | 117.2 | 4.76388188 | 0.00120733847059062 | 4.77237810 | 4.75531284 | 118.2 | 116.2 | 34.99 | 113.4 | 4.73092139 | 0.00124779606206582 | 4.73970108 | 4.72206394 | 114.4 | 112.4 | 39.89 | 103.6 | 4.64053733 | 0.00136583096514586 | 4.65014355 | 4.63083793 | 104.6 | 102.6 | 45.11 | 98.8 | 4.59309760 | 0.00143218721403215 | 4.60316818 | 4.58292458 | 99.8 | 97.8 | 50.12 | 94.9 | 4.55282371 | 0.00149104430834068 | 4.56330598 | 4.54223039 | 95.9 | 93.9 | 54.09 | 92.1 | 4.52287494 | 0.00153637471590029 | 4.53367418 | 4.51195780 | 93.1 | 91.1 | 60.01 | 89.3 | 4.49200149 | 0.00158454779871953 | 4.50313746 | 4.48074011 | 90.3 | 88.3 | 65.21 | 86.5 | 4.46014441 | 0.00163583960944047 | 4.47163879 | 4.44851638 | 87.5 | 85.5 | 69.99 | 83.7 | 4.42723898 | 0.00169056313981475 | 4.43911560 | 4.41521960 | 84.7 | 82.7 | 74.88 | 82.7 | 4.41521960 | 0.00171100529724599 | 4.42723898 | 4.40305400 | 83.7 | 81.7 | 80.02 | 80.8 | 4.39197697 | 0.00175123941401667 | 4.40427724 | 4.37952350 | 81.8 | 79.8 | 85.11 | 78.0 | 4.35670883 | 0.00181410455415731 | 4.36944785 | 4.34380542 | 79.0 | 77.0 | 90.12 | 76.1 | 4.33204826 | 0.00185939767506005 | 4.34510328 | 4.31882056 | 77.1 | 75.1 | 95.22 | 72.4 | 4.28220630 | 0.00195442237797838 | 4.29592394 | 4.26829787 | 73.4 | 71.4 | 99.87 | 69.6 | 4.24276457 | 0.00203304877806509 | 4.25703014
* Given linear and exponential data, interpret the rate of change within the given context.
After 5 min passed the plastic container created a thin layer of ice surrounding the container.
Question: What will happen to a gummy bear if it is left in water for 24 hours?
On the second day, the gummy bears were drained from the containers and measured. The first gummy bear that was saturated in distilled water measured 4 centimeters in length and 1.5 centimeters in width. The second gummy bear was 4 centimeters in length and only 1 centimeter in width. Both gummy bears were larger than they were on the first day.
“Raven made one in every ten black bears white to remind the people of a time when glaciers covered this land.”- Tsimshian Lore
For the first five data point, the value of exponential model is close to the actual value. However, the exponential model didn’t work well for the
This paper comprises an appreciation of data representation, its visualization, an outline description of behavior, plus an indication of the use of the equation in engineering.
The givens and assumptions are all of the values included in the above equation. The equation above also highlights what we needed to find, the discrete dynamical system, and the plan was to make assumptions, analyze the givens, and substitute all the given values into the general discrete dynamical system equation.
Address the following questions in a 4-5 page write-up of the Boston Beer Company Case to explore the issue of Initial Public Offerings.
The Effect of Tonicity and Osmosis on Gummy Bears Introduction Gummy bears work the same as a cell’s plasma membrane because they allow the movement of water molecules in and out of the gummy bear. The plasma membrane is known as selectively permeable because it allows movement of certain molecules and blocks the movement of others. Active transport is an example of a movement that requires a carrier protein and the use of energy to move against the concentration gradient. Passive transport is simply the movement of molecules without the use of energy.
How long will it take for the Oobleck to melt back into a liquid from a ball?
As I forecasted the results proved correct that, the more concentrated the hydrogen peroxide is the higher the volume of the foam is and the less concentrated the hydrogen peroxide is the lower the volume of the foam will become. Other than the table of results the graph is also evidence to my true hypothesis. Each time the concentration of hydrogen peroxide doubles the level of foam increases but the more the concentration the foam reaches its constant point therefore slowly increasing. An example is when the 2% concentration of hydrogen peroxide was added the foam level was 13cm³ but when 4% was added to the next trial the level of foam greatly increased to 21 cm³ and as it reached its constant point, when 6% it slowed down and increased only 3 cm³ more which became 24 cm³.
The group first measured the masses of the four bouncy balls and then measured how high the ball bounced, being dropped at 20 inches, in room temperature and recorded the data. Then heated up water in a 250mL beaker using a hot plate to about 85-90 degrees Celsius, put the bouncy ball in a smaller beaker and held it in the water for five minutes, making sure not to get the ball wet, repeat this procedure for all four bouncy balls. After the five minutes were up, the masses of the balls were measured and then tested the ball to see if when the ball was heated, it might affect the height of the bounce. The results were recorded. Next, a 250mL beaker was filled up with water about half way and then put ice in the water to make it cool down to 5-10 degrees Celsius. A bouncy ball was then put in a smaller beaker and held the small beaker with the ball inside the ice water for five minutes, doing this for all four bouncy balls. After the time was up, the group again measured the mass and tested the height of the bounce and recorded the results. When dropping the ball to measure the height of the bounce, the ball was dropped from 20 inches for each trial in all three
The purpose of this experiment is to conduct what happens to gummy bears when we put them into different liquids. When we were done we gathered data and saw that the gummy bears ended up with different textures and sizes. There were only some minor differences. For water after a day, the length changed, the width, height, and mass. For salt water only the mass changed, before it was 2.6 and after it was 1.5 grams. The next liquid is sugar water, and for that liquid all the of the data changed. The length was 3 cm before, after it was 3.5 cm. The width of the gummy bear was 3 cm before, after it was 1 cm, and after it was 1.5 The height was 2 cm, and changed to 1 cm. Lastly is the mass, it was 2.6 and the after it changed to 5.1. The
The procedure for this experiment was to first obtain four balloons and blow them up in order to stretch them. Then obtain and fill the four large test tubes each with thirty milliliters of warm forty degrees Celsius water and two grams of dry yeast which was weighed on a scale and scooped out by a spatula. After five milliliters of water, ten percent glucose, fructose or sucrose went into one of the four test tubes. Then parafilm was placed on top of each of the test tubes to seal them and they were swirled activating the yeast through rehydration. After swirling the film was removed and the balloons were tightly placed on the test tubes. Then finally observed the tubes build up of CO2 all the while swirling gently every fifteen minutes, recording observations.