The isotope decays by Beta, b -emission to a stable nuclide. The half-life of the isotope is 15hours 2.0g of is allowed to decay. Determine the mass of left after 90 hours
Guide On Rating System
Vote
To determine the mass left after 90 hours, we need to calculate the number of half-lives that have passed and use the decay formula:
N = N0 * (1/2)^(t / T)
Where:
N is the remaining amount of the isotope
N0 is the initial amount of the isotope
t is the time
T is the half-life
First, let's calculate the number of half-lives that have passed in 90 hours:
number of half-lives = (90 hours) / (15 hours/half-life) = 6 half-lives
Next, let's calculate the remaining amount of the isotope using the decay formula:
N = (2.0 g) * (1/2)^(6)
N ≈ 0.125 g
Therefore, approximately 0.125 grams of the isotope will be left after 90 hours.
Got a question with my answer?
Cheapmath.com is completely free!
Asking question is free.
Getting answers is free.
+99