3 years ago

Which one is correct?

Mathematics

1 answer:

malfutka [58]3 years ago

4 0

1/6+3/7=7/42+18/42=25/42

1-(25/42)=17/42

(17/42)x1092=442 people

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Step-by-step explanation:

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Answer:

The number of half lives in 14000 years is 2.4258.

Step-by-step explanation:

Initial amount of carbon-14 = $N_o$

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Decay constant = k = $\frac{0.693}{t_{1/2}}=\frac{0.693}{5770 year}$

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$N=N_o\times e^{-kt}$

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$N=N_o\times 0.1861$

Formula used for number of half lives

$N=\frac{N_o}{2^n}$

where,

N= amount of reactant left after n-half lives

$N_o$ = Initial amount of the reactant

n = number of half lives

$N_o\times 0.1861=\frac{N_o}{2^n}$

$2^n=\frac{1}{0.1861}$

$2^n=5.3734$

Taking log both sides

$n\log 2=\log (5.3734)$

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The number of half lives in 14000 years is 2.4258.

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3 years ago