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Determine how many days t will the two isotopes have the same activity

Determine how many days t will the two isotopes have the same activity-example-1
User Arash GM
by
4.1k points

1 Answer

3 votes

Answer:

t = 1 ... one day

Explanation:

3 x
10^(18) *
(.5)^(t) = 6 x
10^(18) *
(.5)^(2t)

3 x
10^(18) =
(.5)^(2t) /
(.5)^(t)

6 x
10^(18)

1/2 =
.5^(t)

ln( 1/2) = t ln(
.5 )

t = ln( .5)/ln(
.5 )

t = 1

User HM Tanbir
by
3.7k points