Technetium has a half-life of six hours. If you obtain 100g of a pure technetium sample, after 18 hours how much of the pure substance will be remaining?

Respuesta :

Answer: 12.5 grams.

Explanation:

You can find the amount of pure substance remaining by using the half-life formula:

[tex]Q_{1}=Q(\frac{1}{2})^{\frac{t}{t2} }[/tex]

Where t is the amount of time, and t2 is the half life of the substance.

Substituting our values for the variables, we get this equation:

[tex]Q_{1} = 100(\frac{1}{2})^3\\\\Q_{1} = 100(\frac{1}{8})\\\\Q_{1} = 12.5[/tex]

After 18 hours, there will be 12.5 grams of the substance remaining.

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