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Will give brainliest Element X decays radioactively with a half life of 7 minutes. If there are 270 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 13 grams?

Respuesta :

Answer:30.6

Explanation:

1. 13= 270 (.5)^t/7

2. 13/ 270=270 (.5)^t/7/270

3. 0.0481481=(.5)^t/7

4.log (0.0481481= log ((.5)^t/7)

5. 7 log (0.0481481)/ log(.5)= t log (.5) /log (.5)

6. t= -9.2219429/-0.30103

t= 30.63463

t= 30.6 minutes

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