Radioactive decay simulation | Honors Chemistry |

background [prelab assignment (10 points) due at the beginning of lab]

describe

2methods using graphical analysis to determine the half-life of a radioactive isotope (hint: see content of lab report).review prior Excel dice rolling simulation lab

purpose

compare the determination of the half-life based on:

- its definition (i.e. analyze the graph: # radioactive isotope versus time)
- the decay constant using non-linear regression analysis
- the decay constant using linearized data analysis
relate the # of faces on a dice to the half-life & decay constant

fulfill various aspects of the NGSS science & engineering standards.

materials

Excel dice rolling simulation

methods / data analysis

initially, simulate 100 radioactive isotopes using Excel

pick a specific value on the dice, which represent the decay of the radioactive isotope

adjust # remaining radioactive isotopes accordingly; repeat till less than 20 dice remain

each set of dice rolls represent an interval of time, while # dice in sample represent # radioactive isotope in the sample

Content of lab report [30 points; no lab report revisions]

data analysis- for 6 or 10 sided dice (15 points)determine & compare the half-life.

- graphs: for a 6- or10- sided die

- # die in sample versus # die roll; determine half-life based on its (i) definition and the graph and (ii) non-linear regression analysis and relating half-life to decay constant
- ln (# dice in sample) versus # dice roll; determine half-life based on linearized data and relationship between half-life and decay constant
- relate parameter(s) of equation describing the graph to decay constant
- statistical comparsion of the value of the half-life based on the preceding 3 methods described in the purpose and # sides of dice (use appropriate statistics); conclusions based on p-value.

discussion(15 points)what is the (qualitative) relationship between the number of sides on the die versus the (simulated) decay constant or the (simulated) half-life ? refer to the preceding data to support your response.

rationalize the relationship between the decay constant, half-life, and the # sides on a die; refer to probability to support your response and the relationship between half-life and the decay constant.

describe / list all NGSS science & engineering practices that correlates to an aspect of this laboratory activity;

provide an example in the lab & this lab report that meets these practices

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**resources**

lab activity source (examples): site 1 & site 2 [access 4 / 2009]

mathematica based tools