Element X is a radioactive isotope such that every 5 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 590 grams, how much of the
element would remain after 23 years, to the nearest whole number?

24 grams of element would remain.

Step-by-step explanation:

Exponential function for decay:

....(i) , where A = initial value , b = decay factor, x = time , n= time per period

As per given,

A = 569 grams ,

n= 5 years, t = 23 years

Put all values in (i) , we get

Hence, after 23 years , 24 grams of element would remain.

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