The half-life period of a radioactive element is 40 days. If 32 g of this element is stored for 160 days, calculate the weight of the element that would remain in gram.

Question

The half-life period of a radioactive element is 40 days. If 32 g of this element is stored for 160 days, calculate the weight of the element that would remain in gram. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Amount remaining after n half lives is N=(N0/2n)(N0=. initial amount ) =(32/(2)4)=2 g [n=. number of half lives .=(160/40)=4]

Q. The half-life period of a radioactive element is $40$ days. If $32 g$ of this element is stored for $160$ days, calculate the weight of the element that would remain in gram.

Amount remaining after $n$ half lives is

$N = \frac{N _{0}}{2 ^{n}} (N_{0} =$ initial amount $)$

$= \frac{32}{( 2 ) ^{4}} = 2 g$

$[n =$ number of half lives $= \frac{160}{40} = 4]$

Q. The half-life period of a radioactive element is 40 days. If 32g of this element is stored for 160 days, calculate the weight of the element that would remain in gram.

Amount remaining after n half lives is N=2nN0​​(N0​= initial amount ) =(2)432​=2g [n= number of half lives =40160​=4]

Q. The half-life period of a radioactive element is $40$ days. If $32 g$ of this element is stored for $160$ days, calculate the weight of the element that would remain in gram.

Amount remaining after $n$ half lives is

$N = \frac{N _{0}}{2 ^{n}} (N_{0} =$ initial amount $)$

$= \frac{32}{( 2 ) ^{4}} = 2 g$

$[n =$ number of half lives $= \frac{160}{40} = 4]$