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Answer:
It would take 75.8 minutes for the element to decay to 2 grams.
Step-by-step explanation:
The number of grams of element x, after t minutes, is given by the following equation:
In which X(0) is the initial amount and r is the decay rate.
There are 160 grams of Element X
This means that X(0) = 160.
So
Half life of 12 minutes.
This means that X(12) = 0.5*X(0) = 0.5*160 = 80. So
So
How long would it take for the element to decay to 2 grams?
This is t for which X(t) = 2. So
It would take 75.8 minutes for the element to decay to 2 grams.