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A scientist digs up sample of arctic ice that is 458,000 years old. He takes it to his lab and finds that it contains 1.675 grams of krypton-81.

If the half-life of krypton-81 is 229,000 years, how much krypton-81 was present when the ice first formed?

Use the formula N = N0 .

Respuesta :

Answer:

6.70 grams of krypton-81 was present when the ice first formed

Explanation:

Let use the below formula to find the amount of sample

[tex]N= N_0(\frac{1}{2})^n[/tex]

where

[tex]n = \frac{t}{t_{\frac{1}{2}}}[/tex]

here

t =  458,000 years

[tex]t_{\frac{1}{2}}[/tex] = 229,000

[tex]\frac{t}{t_{\frac{1}{2}}}[/tex] = \[tex]\frac{ 458,000}{229,000}[/tex]

n = [tex]\frac{t}{t_{\frac{1}{2}}}[/tex] = 2.000

Now substituting the values

[tex]1.675 = N_0(\frac{1}{2})^{2.000}}[/tex]

[tex]1.675 = N_0\times (0.2500)[/tex]

[tex]N_0= \frac{1.675}{0.2500}[/tex]

[tex]N_0=6.70[/tex]

Answer:

Correct Answer Is (6.70 grams)

Explanation:

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