Starting with 100 grams of uranium-238, after one half life has gone by, how many grams of uranium-238 will remain?
A._12.5 grams
B._25 grams
C._50 grams
D._100 grams

Respuesta :

Answer C, 50 grams.
This is because a half life is the time it takes for a sample of an unstable isotope to spontaneously so that half of the original sample remains

Answer : The correct option is, (C) 50 grams

Solution :

Formula used :

[tex]a=\frac{a_o}{2^n}[/tex]

where,

a = amount of reactant left after n-half lives = ?

[tex]a_o[/tex] = Initial amount of the reactant = 100 g

n = number of half lives  = 1

Putting values in above equation, we get:

[tex]a=\frac{100}{2^1}[/tex]

[tex]a=50g[/tex]

Therefore, the amount of uranium-238 remain will be, 50 g