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100.0 grams of an isotope with a half-life of 36.0 hours is present at time zero. How much time will have elapsed when 25.00 grams remains?

Sagot :

We have that  the time that will have elapsed when 25.00 grams remains is

T=72hours

From the question we are told

100.0 grams of an isotope with a half-life of 36.0 hours is present at time zero. How much time will have elapsed when 25.00 grams remains?

Generally the equation for the Half life  is mathematically given as

Where

[tex]X=\frac{25}{100}\\\\X=0.25\\\\Therefore\\\\\frac{1}{2}^n=0.25\\\\n=2 half lives[/tex]

Therefore

T=2*36

T=72 hours

Hence

 the time that will have elapsed when 25.00 grams remains is

T=72hours

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