Answer: I got you <3
Step-by-step explanation:
To determine the activity of the sample in Becquerels (Bq) 49 hours after it was administered, you can use the following formula:
A(t) = A(0) * e^(-lambda * t)
Where:
A(t) is the activity at time t
A(0) is the initial activity
lambda is the decay constant, which is equal to ln(2) / T1/2
t is the elapsed time
Plugging in the values provided in the question, we get:
A(49 h) = 9 mci * e^(- (ln(2) / 6 h) * 49 h)
= 9 mci * e^(- (0.1155) * 49 h)
= 9 mci * e^(-5.6475)
= 9 mci * 0.0023
= 0.0207 mci
Converting mci to Bq:
1 mci = 37 GBq
0.0207 mci = (0.0207 mci) * (37 GBq / mci)
= 0.7649 GBq
So the activity of the sample in Bq 49 hours after it was administered is approximately 0.7649 GBq.