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The half life of radon-222 is 3.8 days. How much of a 100 gram sample is left after 12.2 days?

The Half Life Of Radon222 Is 38 Days How Much Of A 100 Gram Sample Is Left After 122 Days class=

Sagot :

We have the following:

The first thing is to calculate what the 12.2 days represent with respect to its half-life, which is 3.8 days, therefore

[tex]\frac{12.2}{3.8}=3.2[/tex]

Therefore it represents 3.2 times the half life of the compound, therefore 100 grams would remain:

[tex]100\cdot\mleft(\frac{1}{2}\mright)^{3.2}=10.88[/tex]

Therefore there would be a total of 10.88 grams

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