The half-life of protactinium-226 is 2 minutes if you started with 20 grams of pa-226 how much do you have after 8 minutes

Respuesta :

Divide the amount in half for every 2 minutes

0 minutes = 20 grams

2 minutes = 20/2 = 10

4 minutes = 10/2 = 5

6 minutes = 5/2 = 2.5

8  minutes = 2.5/2 = 1.25 grams

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Half - life is the time taken for a radioactive element to decay to half of its initial size. Hence, the amount of protactinium left after 8 minutes is 1.25 grams

Given the Parameters :

  • Half - life = 2 minutes

One way to obtain the solution is to follow the following steps :

After 2 minutes ;

Amount of protactinium left = 20 / 2 = 10 grams

After 4 minutes ;

Amount of protactinium left = 10 / 2 = 5 grams

After 6 minutes ;

Amount of protactinium left = 5 / 2 = 2.5 grams

After 8 minutes ;

Amount of protactinium left = 2.5 / 2 = 1.25 grams

Therefore, the amount of protactinium left after 8 minutes will be 1.25 grams

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