Question

How much nitrogen-14 will be produced from a 200-g sample of carbon-14 after 17,190 years?

Answer 1

The nitrogen-14 produced will be equivalent to the carbon-14 lost.

Number of half lives = 3

C lost = 200 - 200 x (1/2)³
C lost = 175 g

Nitrogen-14 produced = 175 grams

Answer 2

The answer is :

nitrogen = 175 g

The explanation:

the amount of carbon-14: according to this formula:

N(t) = No* (1/2)^t/t(1/2)

when N(t) is the final amount = ?

No is the initial amount= 200 g

and t is the total time =17190

t(1/2) is the half life time = 5730 years

so by substitution:

∴ the amount of carbon -14 = 200 * (0.5)^(17190/5730)

= 25 g

∴ the amount of nitrogen -14 = 200- 25 = 175g