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4-7 Practice

Last updated almost 3 years ago

11 questions

1

Question 1

1.

Using the formula N(t) = N0e-kt as a model, write a function to model the decay of Radium-226, which has a half-life of 1600 years and a starting amount of 12g.

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Question 2

2.

Using the formula N(t) = N0e-kt as a model, write a function to model the decay of Polonium-208, which has a half-life of 2.9 years and a starting amount of 300kg.

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Question 6

6.

Solve the equation from #2 (Polonium-208) for k. Round to 6 decimal places.

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Question 7

7.

Solve the equation from #3 (Titanium-44) for k. Round to 6 decimal places.

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Question 3

3.

Using the formula N(t) = N0e-kt as a model, write a function to model the decay of Titanium-44, which has a half-life of 63 years and a starting amount of 44 oz.

Question 4

4.

Solve the equation from the example (Plutonium-239) for k. Round to 6 decimal places.

Question 5

5.

Solve the equation from #1 (Radium-226) for k. Round to 6 decimal places.

Question 8

8.

Use the decay constant for Plutonium-239 (#4 above) to find out how long, to the nearest year, it would take a 70 mg sample to decay to 10 mg.

Question 9

9.

Use the decay constant for Radium-226 (#5 above) to find out how long, to the nearest year, it would take a 12 g sample to decay to 8 g.

Question 10

10.

Use the decay constant for Polonium-208 (#6 above) to find out how long, to the nearest year, it would take a 300 kg sample to decay to 100 kg.

Question 11

11.

Use the decay constant for Titanium-44 (#7 above) to find out how long, to the nearest year, it would take a 44 oz. sample to decay to 5 oz.