Physical Chemistry Exam Review 172

Physical Chemistry Exam Review 172 - Date Starting Amount...

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Physical Science Activities Manual ________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________ Center of Excellence for Science and Mathematics Education at The University of Martin RADIOACTIVITY (Half-Life) PROBLEM PRESENTATION / EXPLORATION A. Most of you like to spend money. Lets investigate how long it would take to spend a million dollars. You probably think that this would not be much of a problem, right? There is only one rule we will follow in this exercise. On each day you can only spend half of what you start the day with. So on the first day you get to spend a half million dollars. 1. Question: "If on January 1 you start with one million dollars, on what day will you end up with only one dollar or less? 2. Estimate how long you think it will take to spend the million dollars: two days? a week? a month? a year? ten years? 3. The following table may help in figuring out how long it would take.
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Unformatted text preview: Date Starting Amount Ending Amount Jan. 1 1000000.00 500000.00 Jan. 2 500000.00 250000.00 Jan. 3 250000.00 125000.00 Jan. 4 125000.00 62500.00 Jan. 5 62500.00 31250.00 Jan. 6 31250.00 15625.00 Jan. 7 15625.00 7812.50 Jan. 8 7812.50 3406.25 Jan. 9 3406.25 1703.12 Jan. 10 1703.12 851.56 Jan. 11 851.56 425.78 Jan. 12 425.78 212.89 Jan. 13 212.89 106.44 Jan. 14 106.44 53.22 Jan. 15 53.22 26.61 Jan. 16 26.61 13.30 Jan. 17 13.30 6.65 Jan. 18 6.65 3.32 Jan. 19 3.32 1.66 Jan. 20 1.66 .83 4. According to the above table, on Jan. 20 you would end up with less than one dollar. 5. How long do you think it would take you to spend one hundred dollars following the same rule? Date Starting Amount Ending Amount Jan. 1 100.00 50.00 Jan. 2 50.00 25.00 Jan. 3 25.00 12.50 Jan. 4 12.50 6.25 Jan. 5 6.25 3.12 Jan. 6 3.12 1.56 Jan. 7 1.56 .78 6. In both of these cases we would say that the time it took to spend half of what remained was one day. We might call this the "half-life."...
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