Question
Asked Feb 14, 2020
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If 200. mg of fluorine-18 is shipped at 8:00 A.M., how many milligrams of the radioisotope are still active when the sample arrives at the radiology laboratory at 1:30 P.M.?
Express the mass to three significant figures and include the appropriate units.
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Expert Answer

Step 1

The term radioactive substances can be defined as the atoms which have the tendency to decay naturally. They can emit alpha particles, beta particles and gamma radiations as well.

Step 2

The half-life of a given radioactive substance can be termed as the time taken by the given amount of substance to get reduced to half as a result of the decay and thus, the emission of radiations.

The half -life of a given substance can be calculated from the given value of the rate constant by using the following equation as shown below:

Chemistry homework question answer, step 2, image 1

Step 3

The half-life of Fluorine-18 is 109.7 minutes.

The total time taken in the given shipment can be calculated as follows:

Chemistry homework question answer, step 3, image 1

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