phy112l

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Grand Canyon University *

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112L

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Chemistry

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Dec 6, 2023

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docx

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6

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PHY 112 L Lab 13: Radioactive Decay The objective of this lab is to explore the statistical nature of the radioactive decay process through a safe simulation. The statistical nature of radioactive decay is based on the property call half-life, which is the amount of that must elapse for half of the radioactive atoms to decay away. Each half-life corresponds to another halving of the sample. This is expressed, mathematically by an exponential function with a base of one-half. And, with a little work can be expressed as a natural logarithm: N ( t ) = N o ∙e λ∙ t R ( t ) = N o ∙ λ∙e λ∙t = λ∙ N Where λ is the decay constant and is related to the half-life by: λ = ln 2 T 1 / 2 Review the material from your book prior to class. You will collect data to answer 2 Testable Questions arising from the reading. Come to class prepared to share your suggestions for questions. Please review Section 31.5 of your textbook prior to class. Your Evaluation must be your own work (do not consult with your lab partners). 1. Testable Questions: Brainstorm for possible questions. Then select the best. A. B.
PHY 112 L 2. Hypotheses: Brainstorm with your group. When explaining why the prediction is being made, use physical not mathematical arguments. Assume you do not know the formula that the experiment is exploring. Pretend you are the first to do the experiment. Write this up before conducting the lab. A. B. 3. Variables: Work with your team. List and identify the different variables used in the experiment. Be sure to include each variable’s symbol in parentheses. Control(s): Independent: Dependent (for A.): Dependent (for B.): 4. Experimental Design: Make sure the design matches the variables and include units in parenthesis. Do not use words for variables; keep things mathematical in tables, on graphs, and in equations. Only use words in the written sections of the lab report. Controls that do not change can be placed either inside or outside the table, but not both . Both experiments can be included in the same table. i 1 – 21 5. Materials: A bullet point list of items; prepared on your own.
PHY 112 L 6. Procedure: Produce a numerical bullet set of steps that would easily describe the lab procedures to an absent lab partner. Do not include obvious details – just what would be needed to conduct the experiment, itself. You may include information provided here but it must be re-written and incorporated into your numerical set of steps. Both experiments procedures can be presented together, since they share the same set of original data. Let white extrusions/beads symbolize stable isotopes, and red extrusions/beads symbolize a radioactive isotope. Count out an initial number of each (minimum 100 of each, minimum 300 combined). There is no requirement that you have equal red and white extrusions/beads. Return counted extrusions/beads to a bin and mix them thoroughly. With eyes closed pick one extrusion/bead from the box. Each pick represents a fixed time interval. For simplicity we are choosing the time represented by each pick to be 1 second. If the picked extrusion/bead is red, it has decayed. Remove it from the sample and replace it with a white extrusion/bead. Keep track of them. If the picked extrusion/bead is white, no decay occurred, and the white extrusion/bead is returned to the bin. After every 10 picks, record the following: Number of red extrusions/beads remaining (N) and number of red extrusions/beads removed during the last 10 picks (– N). Mix them thoroughly. Continue until you have 20 data points (200 seconds of data). Calculate decay rate to generate the second set of data. Since the rate depends on a change in time (ten seconds), there will not be an initial measurement (R o ); it must be determined from the trendline. R = ∆N ∆t The decay constant for the radioactive sample is given by: λ = 1 S o + N o and is in units of Bq (i.e., decays per second). The decay constant represents a 1 in 300 decay possibility of a statistical decay measure per second. The initial decay rate is given by: R o =− λ∙N o = N o S o + N o
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