The time taken to the nearest tenth of a minute, would it take the element to decay to 98 grams is 9.897.
What is half-life?
Half-life is the time half-time of the total decay of any element.
Given that, Initial amount = 970 grams
Final amount = 98 grams
Half life = 13 minutes
To find the half life
[tex]Half life \times \dfrac{\dfrac{initial \;amount}{final\;amount} }{log2} \\\\\\13 \times \dfrac{\dfrac{970 }{98} }{log2} = 9.897[/tex]
Thus, the time taken to the nearest tenth of a minute, would it take the element to decay to 98 grams is 9.897.
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