contestada

Hurry PLEASE HELP!

12. Carbon-14 has a half-life of 5,770 years. A 25 gram sample of Carbon-14 was found. The original sample mass was hypothesized to have a mass of 100 grams. How old was the sample based on this hypothesis?
A. 2885
B. 11,540
C. 17,310
D. 23,080

Relax

Respuesta :

ardni313

B. 11,540

Further explanation

The atomic nucleus can experience decay into 2 particles or more due to the instability of its atomic nucleus.  

Usually radioactive elements have an unstable atomic nucleus.  

General formulas used in decay:  

[tex]\large{\boxed{\bold{N_t=N_0(\dfrac{1}{2})^{t/t\frac{1}{2} }}}[/tex]

T = duration of decay  

t 1/2 = half-life  

N₀ = the number of initial radioactive atoms  

Nt = the number of radioactive atoms left after decaying during T time  

Nt=25 g

No=100 g

t1/2=5770 years

[tex]\tt 25=100\dfrac{1}{2}^{T/5770}\\\\\dfrac{1}{4}=\dfrac{1}{2}^{T/5770}\\\\2=T/5770\rightarrowT=11540~years[/tex]

Otras preguntas