If a 750 gram sample of Technetium-99 decays in 4 half lives, how much of the sample will remain?

To determine how much of a 750 gram sample of Technetium-99 remains after 4 half-lives, we can use the concept of half-life, which is the time required for half of a substance to decay.

1. After 1 half-life: ( 750 , text{g} div 2 = 375 , text{g} )
2. After 2 half-lives: ( 375 , text{g} div 2 = 187.5 , text{g} )
3. After 3 half-lives: ( 187.5 , text{g} div 2 = 93.75 , text{g} )
4. After 4 half-lives: ( 93.75 , text{g} div 2 = 46.875 , text{g} )

Thus, after 4 half-lives, approximately 46.875 grams of the Technetium-99 sample will remain.

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