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Type the correct answer in the box Express your answer to three significant figures.
The half-life of carbon-14 is 5,730 years. Dating organic material by looking for C-14 can't be accurately done after 50,000 years.
Suppose a fossilized tree branch originally contained 4.30 grams of C-14. How much 14 would be left after 50,000 years?
Use the formula N= No
A tree branch that originally had 4.3 grams of carbon-14 will have
grams after 50,000 years.

Respuesta :

ardni313

0.010 g would be left after 50,000 years

Further explanation

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

t1/2=5730 years

t=50,000 years

No=4.3 g

[tex]\tt Nt=4.3\dfrac{1}{2}^{50000/5730}\\\\Nt=4.3.\dfrac{1}{2}^{8.73}\\\\Nt=0.010~g[/tex]

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Answer:

0.0100

Explanation:

I got this answer verified with my teacher. Make sure you type in all the zeros and ones as you see above or else you will get it wrong. :)

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