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x-velocity vx (m/s) 1500 107
y-velocity vy (m/s) 0000
Change in y-velocity vy (m/s)
Data Table 2
Initial y-position (10 ( )
15 193
20 133
25 102
30 82
35 67
40 57
45 49
50 42
55 37
60 33
65 29
70 26
Data Table 3
Angle
Copyright Glencoe/McGraw-Hill, a division of the McGraw-Hill Companies, Inc
Initial y-position y (10
Detected -particles per minute 247 330 316 212 98
28 56 90 124 156
1 What was the initial y-position of the -particle How is this position related to the
y-direction distance between the -particle and the nucleus
2 What value of
did you obtain in step 12
3 Data Table 2 shows values of
that are obtained for initial y-position values of 15 10 13 m to 70 10 13 m (You may like to perform these calculations on a spreadsheet) Graph the initial y-position versus and draw a smooth curve through the data points Label this graph Figure C
Laboratory Manual
Chemistry: Matter and Change 4
Name
Date
Class
LAB 41
LABORATORY MANUAL
4 Data Table 3 shows the original data from the gold foil experiment performed in 1910
This data is from a scientific paper written by Hans Geiger Use Figure C to estimate the initial y-position for each value of the given in Geiger s data Record each estimate in Data Table 3 Plot the initial y-position values against the number of detected -particles per minute given in Data Table 3 Label this graph Figure D
Analyze and Conclude
1 Collecting and Interpreting Data Draw a smooth line through the data points in
Figure D Extend a straight dashed line that passes through the first two data points back until it intersects the x-axis The value for initial y-position where the dashed line intersects the x-axis is an upper bound for the size of a gold atom nucleus That is, the radius of a gold atom nucleus must be smaller than this value Determine the upper bound on the radius of a gold atom nucleus from Figure D and record the value below
2 Error Analysis Compare your experimentally determined value for the radius of a gold
atom nucleus with the currently accepted radius of approximately 6 sources of error might account for the difference in the values
m What
1 A computer disk drive is composed of many
2 If the diameter of the aluminum nucleus was
layers The primary layer is made of aluminum and is 10 mm thick If the diameter of an aluminum atom is 25 angstroms, how many aluminum atoms thick is the primary layer
4 10 15 m, how much of the 10 mm thickness is actually occupied by the nuclei of the Al atoms 3 Explain what occupies the remaining space in the thickness of the computer disk primary layer
Chemistry: Matter and Change 4
Laboratory Manual
Copyright Glencoe/McGraw-Hill, a division of the McGraw-Hill Companies, Inc
Real-World Chemistry
Name
Date
Class
LABORATORY MANUAL
Half-life of
Barium-137m
Use with Section 44
uclear decay is a random process, yet it proceeds in a predictable fashion To resolve this paradox, consider an everyday analogy An unstable nucleus in a sample of radioactive material is like a popcorn kernel in a batch of popcorn that is being heated When a kernel pops, it changes form Similarly, an unstable nucleus changes form when it decays It is practically impossible to predict which particular kernel will pop at any given instant, and in this way the popping of corn is a random process, much like radioactive decay However, the cornpopping process is predictable in the sense that you can say how much time it will take to prepare a batch of popcorn Similarly, a sample of radioactive material decays within a known time period This period is called a half-life The half-life of a radioactive species is defined as the time it takes for the activity of the sample to drop by 50% In this activity, you will investigate the decay of 137Bam, a metastable isotope of barium that undergoes gamma decay with a half-life of several minutes
Problem
Copyright Glencoe/McGraw-Hill, a division of the McGraw-Hill Companies, Inc
Objectives
Verify the random behavior of radioactive decay Determine the half-life of 137Bam
Materials
gamma ray detector counter or timer sample of 137Bam
What is the half-life of 137Bam
Safety Precautions
Always wear safety goggles, gloves, and a lab apron Skin or clothing that comes into contact with the barium should be washed thoroughly with soap and water The depleted sample may be washed down the sink drain
Pre-Lab
1 A nuclide that undergoes a gamma decay event
emits a gamma ray A gamma ray detector counts the rate at which gamma rays are emitted The decay rate of a radioisotope is often expressed in counts per min (cpm) Consider 87Srm, a metastable isomer of strontium that undergoes
gamma decay with a half-life of 28 hours A particular sample of 87Srm has an initial decay rate of 1280 cpm After 28 hours, the rate drops 50% to 640 cpm Complete the table on the next page
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