Question

Element X is a radioactive isotope such that every 27 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 50 grams, how much of the element would remain after 16 years, to the nearest whole number?

Answer 1

Answer:

33 grams remain after 16 years

Step-by-step explanation:

The formula is $A= A_{o} (0.5)^{t/h}$

h = 27

Ao = 50

t = 16

So enter into formula

$A=50(0.5)^{16/27}$

$A=50(0.5)^{0.59259259259} \\A= 50(0.66315012286)\\A= 33.158$

After rounding to the nearest whole number,

33.158 is = 33