Answer:
Per hour decay of the isotope is 0.96%.
Step-by-step explanation:
Amount of radioactive element remaining after t hours is represented by
[tex]y=a(0.5)^{\frac{t}{72}}[/tex]
where a = initial amount
t = duration of decay (in hours)
Amount remaining after 1 hour will be,
[tex]y=a(0.5)^{\frac{1}{72} }[/tex]
y = 0.9904a
So amount of decay in one hour = a - 0.9904a
= 0.0096a gms
Percentage decay every hour = [tex]\frac{\text{Amount of decay}}{\text{Initial amount}}\times 100[/tex]
= [tex]\frac{0.0096a}{a}\times 100[/tex]
= 0.958 %
≈ 0.96 %
Therefore, per hour decay of the radioactive isotope is 0.96%.
