Element X is a radioactive isotope such that every 13 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 90 grams, how long would it be until the mass of the sample reached 62 grams, to the nearest tenth of a year?

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Step-by-step explanation:

the element would remain after 25 years is 2,325 grams !

Step-by-step explanation:

Here we have , Element X is a radioactive isotope such that every 13 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 8800 grams, We need to find how much of the element would remain after 25 years . Let's find out:

According to question , Element X is a radioactive isotope such that every 13 years, its mass decreases by half , And initial mass of a sample of Element X is 8800 grams . So , following equation will be framed for the mass of sample X after t years as :

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Now , the mass of element after 25 years is given by :

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⇒ m=2.325

Therefore , the element would remain after 25 years is 2,325 grams !