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Study Figure 10-3. How much nitrogen-14 will be produced from a 200-g sample of carbon-14 after 17,190 years?

 

Study Figure 103 How much nitrogen14 will be produced from a 200g sample of carbon14 after 17190 years class=

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For this problem, we use the formula for radioactive decay which is expressed as follows:

An = Aoe^-kt

where An is the amount left after time t, Ao is the initial amount and k is a constant. 

We calculate as follows:

An = Aoe^-kt
0.5 = e^-k(5730)
k = 1.21x10^-4

An = Aoe^-kt
An = 200e^-1.21x10^-4(17190)
An = 25

Therefore, about 175g is produced.