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Alecsey [184]
3 years ago
14

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 sub

stance will be remaining?
Chemistry
1 answer:
IgorLugansk [536]3 years ago
6 0

Answer:

After 18 hours, the amount of pure technetium that will be remaining is 12.5 grams

Explanation:

To solve the question, we note that the equation for half life is as follows;

N(t) = N_0 (\frac{1}{2} )^{\frac{t}{t_{1/2}}

Where:

N(t) = Quantity of the remaining substance  = Required quantity

N₀ = Initial radioactive substance quantity  = 100 g

t = Time duration  = 18 hours

{t_{1/2} = Half life of the radioactive substance  = 6 hours

Therefore, plugging in the values, we have;

N(t) = 100 (\frac{1}{2} )^{\frac{18}{6}} = 100 (\frac{1}{2} )^{3} =  \frac{100 }{8} = 12.5 \ grams

Therefore, after 18 hours, the amount of pure technetium that will be remaining = 12.5 grams.

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